Fractional quantum Hall physics in topological flat bands

Siddharth A. Parameswaran; Rahul Roy; Shivaji L. Sondhi

doi:10.1016/j.crhy.2013.04.003

Topological insulators/Isolants topologiques

Fractional quantum Hall physics in topological flat bands
[Physique de lʼeffet Hall quantique fractionnaire dans des bandes plates topologiques]

Siddharth A. Parameswaran ¹ ; Rahul Roy ² ; Shivaji L. Sondhi ³

¹ Department of Physics, University of California, Berkeley, CA 94720, United States of America
² Department of Physics and Astronomy, University of California, Los Angeles, CA 90095-1547, United States of America
³ Department of Physics, Princeton University, Princeton, NJ 08544, United States of America

Comptes Rendus. Physique, Topological insulators / Isolants topologiques, Volume 14 (2013) no. 9-10, pp. 816-839.

Résumé
Abstract

Nous présentons une revue didactique sur la physique des isolants de Chern, qui se concentre plus particulièrement sur lʼeffet Hall quantique fractionnaire. Habituellement, cet effet apparaît typiquement dans des hétérostructures semiconductrices à basse température et sous champ magnétique fort. En revanche, les isolants de Chern peuvent abriter des phases topologiques aux propriétés similaires, mais stabilisées à lʼéchelle du paramètre de réseau, ce qui peut conduire un ordre topologique à haute température. Nous décrivons la construction des modèles avec bande(s) plate(s), passons en revue les résultats numériques et établissons une comparaison entre les isolants de Chern sur réseau et le problème de Landau défini dans le continuum. Nous discutons alors brièvement les aspects de la physique des isolants de Chern qui nont pas dʼanalogues dans le continuum, avant de passer aux possibles réalisations expérimentales. Nous concluons par une liste de perspectives et de problèmes encore ouverts dans ce domaine, ainsi que par une discussion des extensions de ces idées à des dimensions supérieures et à dʼautres phases topologiques.

We present a pedagogical review of the physics of fractional Chern insulators with a particular focus on the connection to the fractional quantum Hall effect. While the latter conventionally arises in semiconductor heterostructures at low temperatures and in high magnetic fields, interacting Chern insulators at fractional band filling may host phases with the same topological properties, but stabilized at the lattice scale, potentially leading to high-temperature topological order. We discuss the construction of topological flat band models, provide a survey of numerical results, and establish the connection between the Chern band and the continuum Landau problem. We then briefly summarize various aspects of Chern band physics that have no natural continuum analogs, before turning to a discussion of possible experimental realizations. We close with a survey of future directions and open problems, as well as a discussion of extensions of these ideas to higher dimensions and to other topological phases.

Publié le : 2013-06-04

DOI : 10.1016/j.crhy.2013.04.003

Keywords: Chern insulators, Flat bands, Fractional quantum Hall effect, Topological order
Mots-clés : Isolants de Chern, Bandes plates, Effet Hall fractionnaire, Ordre topologique

Affiliations des auteurs :

Siddharth A. Parameswaran ¹ ; Rahul Roy ² ; Shivaji L. Sondhi ³

¹ Department of Physics, University of California, Berkeley, CA 94720, United States of America
² Department of Physics and Astronomy, University of California, Los Angeles, CA 90095-1547, United States of America
³ Department of Physics, Princeton University, Princeton, NJ 08544, United States of America

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     title = {Fractional quantum {Hall} physics in topological flat bands},
     journal = {Comptes Rendus. Physique},
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Siddharth A. Parameswaran; Rahul Roy; Shivaji L. Sondhi. Fractional quantum Hall physics in topological flat bands. Comptes Rendus. Physique, Topological insulators / Isolants topologiques, Volume 14 (2013) no. 9-10, pp. 816-839. doi : 10.1016/j.crhy.2013.04.003. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2013.04.003/

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Jung-Wan Ryu; Alexei Andreanov; Hee Chul Park; Jae-Ho Han Orthogonal flatbands in Hamiltonians with local symmetry, Journal of Physics A: Mathematical and Theoretical, Volume 57 (2024) no. 49, p. 495301 | DOI:10.1088/1751-8121/ad909d
Abdiel de Jesús Espinosa-Champo; Gerardo G Naumis Fubini–Study metric and topological properties of flat band electronic states: the case of an atomic chain with s − p orbitals, Journal of Physics: Condensed Matter, Volume 36 (2024) no. 1, p. 015502 | DOI:10.1088/1361-648x/acfbd1
Xu-Hui Yan; Lu Qi; Xiuyun Zhang; Yongjun Liu; Ai-Lei He Topological phase transitions and flat bands on an islamic lattice, Journal of Physics: Condensed Matter, Volume 36 (2024) no. 3, p. 035501 | DOI:10.1088/1361-648x/acfeba
Pratap Chandra Adak; Subhajit Sinha; Amit Agarwal; Mandar M. Deshmukh Tunable moiré materials for probing Berry physics and topology, Nature Reviews Materials, Volume 9 (2024) no. 7, p. 481 | DOI:10.1038/s41578-024-00671-4
Ahmed Abouelkomsan; Aidan P. Reddy; Liang Fu; Emil J. Bergholtz Band mixing in the quantum anomalous Hall regime of twisted semiconductor bilayers, Physical Review B, Volume 109 (2024) no. 12 | DOI:10.1103/physrevb.109.l121107
Yves H. Kwan; Patrick J. Ledwith; Chiu Fan Bowen Lo; Trithep Devakul Strong-coupling topological states and phase transitions in helical trilayer graphene, Physical Review B, Volume 109 (2024) no. 12 | DOI:10.1103/physrevb.109.125141
Soonhyun Kwon; Bohm-Jung Yang Quantum geometric bound and ideal condition for Euler band topology, Physical Review B, Volume 109 (2024) no. 16 | DOI:10.1103/physrevb.109.l161111
Dan Mao; Debanjan Chowdhury Upper bounds on superconducting and excitonic phase stiffness for interacting isolated narrow bands, Physical Review B, Volume 109 (2024) no. 2 | DOI:10.1103/physrevb.109.024507
Yujin Jia; Jiabin Yu; Jiaxuan Liu; Jonah Herzog-Arbeitman; Ziyue Qi; Hanqi Pi; Nicolas Regnault; Hongming Weng; B. Andrei Bernevig; Quansheng Wu Moiré fractional Chern insulators. I. First-principles calculations and continuum models of twisted bilayer MoTe2, Physical Review B, Volume 109 (2024) no. 20 | DOI:10.1103/physrevb.109.205121
Jonah Herzog-Arbeitman; Yuzhi Wang; Jiaxuan Liu; Pok Man Tam; Ziyue Qi; Yujin Jia; Dmitri K. Efetov; Oskar Vafek; Nicolas Regnault; Hongming Weng; Quansheng Wu; B. Andrei Bernevig; Jiabin Yu Moiré fractional Chern insulators. II. First-principles calculations and continuum models of rhombohedral graphene superlattices, Physical Review B, Volume 109 (2024) no. 20 | DOI:10.1103/physrevb.109.205122
Heqiu Li; Ying Su; Yong Baek Kim; Hae-Young Kee; Kai Sun; Shi-Zeng Lin Contrasting twisted bilayer graphene and transition metal dichalcogenides for fractional Chern insulators: An emergent gauge picture, Physical Review B, Volume 109 (2024) no. 24 | DOI:10.1103/physrevb.109.245131
Erik Lennart Weerda; Matteo Rizzi Fractional quantum Hall states with variational projected entangled-pair states: A study of the bosonic Harper-Hofstadter model, Physical Review B, Volume 109 (2024) no. 24 | DOI:10.1103/physrevb.109.l241117
Bartholomew Andrews; Mathi Raja; Nimit Mishra; Michael P. Zaletel; Rahul Roy Stability of fractional Chern insulators with a non-Landau level continuum limit, Physical Review B, Volume 109 (2024) no. 24 | DOI:10.1103/physrevb.109.245111
Yijie Mo; Xiao-Jiao Wang; Rui Yu; Zhongbo Yan Boundary flat bands with topological spin textures protected by subchiral symmetry, Physical Review B, Volume 109 (2024) no. 24 | DOI:10.1103/physrevb.109.245402
Jiabin Yu; Jonah Herzog-Arbeitman; Minxuan Wang; Oskar Vafek; B. Andrei Bernevig; Nicolas Regnault Fractional Chern insulators versus nonmagnetic states in twisted bilayer MoTe2, Physical Review B, Volume 109 (2024) no. 4 | DOI:10.1103/physrevb.109.045147
Ai-Lei He; Xu-Hui Yan; Lu Qi; Yongjun Liu; Ying Han Topological states and flat bands on the maple leaf lattice, Physical Review B, Volume 109 (2024) no. 7 | DOI:10.1103/physrevb.109.075118
Xue-Yang Song; Ya-Hui Zhang; T. Senthil Phase transitions out of quantum Hall states in moiré materials, Physical Review B, Volume 109 (2024) no. 8 | DOI:10.1103/physrevb.109.085143
Nisarga Paul Area-law entanglement from quantum geometry, Physical Review B, Volume 109 (2024) no. 8 | DOI:10.1103/physrevb.109.085146
Ke Huang; Xiao Li; Sankar Das Sarma; Fan Zhang Self-consistent theory of fractional quantum anomalous Hall states in rhombohedral graphene, Physical Review B, Volume 110 (2024) no. 11 | DOI:10.1103/physrevb.110.115146
Prakash Sharma; Yang Peng; D. N. Sheng Topological quantum phase transitions driven by a displacement field in twisted MoTe2 bilayers, Physical Review B, Volume 110 (2024) no. 12 | DOI:10.1103/physrevb.110.125142
Ya-Hui Zhang Non-Abelian and Abelian descendants of a vortex spin liquid: Fractional quantum spin Hall effect in twisted MoTe2, Physical Review B, Volume 110 (2024) no. 15 | DOI:10.1103/physrevb.110.155102
Cheong-Eung Ahn; Wonjun Lee; Kunihiro Yananose; Youngwook Kim; Gil Young Cho Non-Abelian fractional quantum anomalous Hall states and first Landau level physics of the second moiré band of twisted bilayer MoTe2, Physical Review B, Volume 110 (2024) no. 16 | DOI:10.1103/physrevb.110.l161109
Edwin Langmann; Shinsei Ryu; Ken Shiozaki Higher-bracket structure of density operators in Weyl fermion systems and topological insulators, Physical Review B, Volume 110 (2024) no. 19 | DOI:10.1103/physrevb.110.195115
Ai-Lei He; Lu Qi; Yongjun Liu; Yi-Fei Wang Hyperbolic fractional Chern insulators, Physical Review B, Volume 110 (2024) no. 19 | DOI:10.1103/physrevb.110.195113
Nobuyuki Okuma Constructing vortex functions and basis states of Chern insulators: Ideal condition, inequality from index theorem, and coherentlike states on the von Neumann lattice, Physical Review B, Volume 110 (2024) no. 24 | DOI:10.1103/physrevb.110.245112
Xue-Yang Song; T. Senthil Density wave halo around anyons in fractional quantum anomalous Hall states, Physical Review B, Volume 110 (2024) no. 8 | DOI:10.1103/physrevb.110.085120
Zheng-Wei Zuo; Jing-Run Lin; Dawei Kang Topological inverse Anderson insulator, Physical Review B, Volume 110 (2024) no. 8 | DOI:10.1103/physrevb.110.085157
Nicole S. Ticea; S. Raghu; Yi-Ming Wu Pair density wave order in multiband systems, Physical Review B, Volume 110 (2024) no. 9 | DOI:10.1103/physrevb.110.094515
Botao Wang; Monika Aidelsburger; Jean Dalibard; André Eckardt; Nathan Goldman Cold-Atom Elevator: From Edge-State Injection to the Preparation of Fractional Chern Insulators, Physical Review Letters, Volume 132 (2024) no. 16 | DOI:10.1103/physrevlett.132.163402
Shuai A. Chen; K. T. Law Ginzburg-Landau Theory of Flat-Band Superconductors with Quantum Metric, Physical Review Letters, Volume 132 (2024) no. 2 | DOI:10.1103/physrevlett.132.026002
Chong Wang; Xiao-Wei Zhang; Xiaoyu Liu; Yuchi He; Xiaodong Xu; Ying Ran; Ting Cao; Di Xiao Fractional Chern Insulator in Twisted Bilayer MoTe2, Physical Review Letters, Volume 132 (2024) no. 3 | DOI:10.1103/physrevlett.132.036501
Ya-Hui Zhang Vortex Spin Liquid with Fractional Quantum Spin Hall Effect in Moiré Chern Bands, Physical Review Letters, Volume 133 (2024) no. 10 | DOI:10.1103/physrevlett.133.106502
Junkai Dong; Taige Wang; Tianle Wang; Tomohiro Soejima; Michael P. Zaletel; Ashvin Vishwanath; Daniel E. Parker Anomalous Hall Crystals in Rhombohedral Multilayer Graphene. I. Interaction-Driven Chern Bands and Fractional Quantum Hall States at Zero Magnetic Field, Physical Review Letters, Volume 133 (2024) no. 20 | DOI:10.1103/physrevlett.133.206503
Tixuan Tan; Aidan P. Reddy; Liang Fu; Trithep Devakul Designing Topology and Fractionalization in Narrow Gap Semiconductor Films via Electrostatic Engineering, Physical Review Letters, Volume 133 (2024) no. 20 | DOI:10.1103/physrevlett.133.206601
Boran Zhou; Hui Yang; Ya-Hui Zhang Fractional Quantum Anomalous Hall Effect in Rhombohedral Multilayer Graphene in the Moiréless Limit, Physical Review Letters, Volume 133 (2024) no. 20 | DOI:10.1103/physrevlett.133.206504
Zhihuan Dong; Adarsh S. Patri; T. Senthil Theory of Quantum Anomalous Hall Phases in Pentalayer Rhombohedral Graphene Moiré Structures, Physical Review Letters, Volume 133 (2024) no. 20 | DOI:10.1103/physrevlett.133.206502
I. Septembre; C. Leblanc; D. D. Solnyshkov; G. Malpuech Topological Moiré Polaritons, Physical Review Letters, Volume 133 (2024) no. 26 | DOI:10.1103/physrevlett.133.266602
Junren Shi Quantum mechanics of composite fermions, Physical Review Research, Volume 6 (2024) no. 2 | DOI:10.1103/physrevresearch.6.023306
Ang-Kun Wu; Siddhartha Sarkar; Xiaohan Wan; Kai Sun; Shi-Zeng Lin Quantum-metric-induced quantum Hall conductance inversion and reentrant transition in fractional Chern insulators, Physical Review Research, Volume 6 (2024) no. 3 | DOI:10.1103/physrevresearch.6.l032063
Patrick H. Wilhelm; Andreas M. Läuchli; Mathias S. Scheurer Ideal Chern bands with strong short-range repulsion: Applications to correlated metals, superconductivity, and topological order, Physical Review Research, Volume 6 (2024) no. 4 | DOI:10.1103/physrevresearch.6.043240
Jixun K. Ding; Luhang Yang; Wen O. Wang; Ziyan Zhu; Cheng Peng; Peizhi Mai; Edwin W. Huang; Brian Moritz; Philip W. Phillips; Benjamin E. Feldman; Thomas P. Devereaux Particle-Hole Asymmetric Ferromagnetism and Spin Textures in the Triangular Hubbard-Hofstadter Model, Physical Review X, Volume 14 (2024) no. 4 | DOI:10.1103/physrevx.14.041025
Tixuan Tan; Trithep Devakul Parent Berry Curvature and the Ideal Anomalous Hall Crystal, Physical Review X, Volume 14 (2024) no. 4 | DOI:10.1103/physrevx.14.041040
Cheng Xu; Jiangxu Li; Yong Xu; Zhen Bi; Yang Zhang Maximally localized Wannier functions, interaction models, and fractional quantum anomalous Hall effect in twisted bilayer MoTe2, Proceedings of the National Academy of Sciences, Volume 121 (2024) no. 8 | DOI:10.1073/pnas.2316749121
Xiang Ni; Simon Yves; Alex Krasnok; Andrea Alù Topological Metamaterials, Chemical Reviews, Volume 123 (2023) no. 12, p. 7585 | DOI:10.1021/acs.chemrev.2c00800
Ke 珂 Yang 杨 Phase transition in bilayer quantum Hall system with opposite magnetic field, Chinese Physics B, Volume 32 (2023) no. 9, p. 097303 | DOI:10.1088/1674-1056/ace61d
Giandomenico Palumbo Noncommutative geometry and deformation quantization in the quantum Hall fluids with inhomogeneous magnetic fields, Journal of Physics A: Mathematical and Theoretical, Volume 56 (2023) no. 45, p. 455203 | DOI:10.1088/1751-8121/ad018b
Michael Vogl; Swati Chaudhary; Gregory A Fiete Light driven magnetic transitions in transition metal dichalcogenide heterobilayers, Journal of Physics: Condensed Matter, Volume 35 (2023) no. 9, p. 095801 | DOI:10.1088/1361-648x/acab49
Mani Chandra Jha; Anne E B Nielsen Properties of Laughlin states on fractal lattices, Journal of Statistical Mechanics: Theory and Experiment, Volume 2023 (2023) no. 5, p. 053103 | DOI:10.1088/1742-5468/acd104
Lei Hao One-dimensional flat bands and Dirac cones in narrow zigzag dice lattice ribbons, Materials Science and Engineering: B, Volume 293 (2023), p. 116486 | DOI:10.1016/j.mseb.2023.116486
Kyung-Hwan Jin; Wei Jiang; Gurjyot Sethi; Feng Liu Topological quantum devices: a review, Nanoscale, Volume 15 (2023) no. 31, p. 12787 | DOI:10.1039/d3nr01288c
Cécile Repellin The twisted material that splits the electron, Nature, Volume 622 (2023) no. 7981, p. 36 | DOI:10.1038/d41586-023-02941-7
Jiaqi Cai; Eric Anderson; Chong Wang; Xiaowei Zhang; Xiaoyu Liu; William Holtzmann; Yinong Zhang; Fengren Fan; Takashi Taniguchi; Kenji Watanabe; Ying Ran; Ting Cao; Liang Fu; Di Xiao; Wang Yao; Xiaodong Xu Signatures of fractional quantum anomalous Hall states in twisted MoTe2, Nature, Volume 622 (2023) no. 7981, p. 63 | DOI:10.1038/s41586-023-06289-w
Yihang Zeng; Zhengchao Xia; Kaifei Kang; Jiacheng Zhu; Patrick Knüppel; Chirag Vaswani; Kenji Watanabe; Takashi Taniguchi; Kin Fai Mak; Jie Shan Thermodynamic evidence of fractional Chern insulator in moiré MoTe2, Nature, Volume 622 (2023) no. 7981, p. 69 | DOI:10.1038/s41586-023-06452-3
Alexander Filusch; Holger Fehske Singular flat bands in the modified Haldane-Dice model, Physica B: Condensed Matter, Volume 659 (2023), p. 414848 | DOI:10.1016/j.physb.2023.414848
Amrita Mukherjee; Arka Bandyopadhyay; Debnarayan Jana Application of the real space decimation method in determining intricate electronic phases of matter: a review, Physical Chemistry Chemical Physics, Volume 25 (2023) no. 14, p. 9706 | DOI:10.1039/d3cp00680h
Juven Wang; Xiao-Gang Wen Nonperturbative regularization of ( 1+1 )-dimensional anomaly-free chiral fermions and bosons: On the equivalence of anomaly matching conditions and boundary gapping rules, Physical Review B, Volume 107 (2023) no. 1 | DOI:10.1103/physrevb.107.014311
Yeongjun Kim; Tilen Čadež; Alexei Andreanov; Sergej Flach Flat band induced metal-insulator transitions for weak magnetic flux and spin-orbit disorder, Physical Review B, Volume 107 (2023) no. 17 | DOI:10.1103/physrevb.107.174202
Zhen-Yu Lan; Ai-Lei He; Yi-Fei Wang Flat bands with high Chern numbers and multiple flat bands in multifold staggered-flux models, Physical Review B, Volume 107 (2023) no. 23 | DOI:10.1103/physrevb.107.235116
Alexander Avdoshkin; Fedor K. Popov Extrinsic geometry of quantum states, Physical Review B, Volume 107 (2023) no. 24 | DOI:10.1103/physrevb.107.245136
Aamna Ahmed; Nilanjan Roy; Auditya Sharma Interplay of many-body interactions and quasiperiodic disorder in the all-bands-flat diamond chain, Physical Review B, Volume 107 (2023) no. 24 | DOI:10.1103/physrevb.107.245110
Han-Lin Liu; L. Hao; J. Wang; Jun-Feng Liu Thermopower of the dice lattice, Physical Review B, Volume 108 (2023) no. 11 | DOI:10.1103/physrevb.108.115141
Patrick J. Ledwith; Ashvin Vishwanath; Daniel E. Parker Vortexability: A unifying criterion for ideal fractional Chern insulators, Physical Review B, Volume 108 (2023) no. 20 | DOI:10.1103/physrevb.108.205144
Lei Hao; C. S. Ting Minimal tight-binding model for the distinct magnetic orders of semihydrogenated and semifluorinated graphene, Physical Review B, Volume 108 (2023) no. 24 | DOI:10.1103/physrevb.108.245120
Dong-Hao Guan; Lu Qi; Xiuyun Zhang; Yongjun Liu; Ai-Lei He Staggered magnetic flux induced higher-order topological insulators and topological flat bands on the ruby lattice, Physical Review B, Volume 108 (2023) no. 8 | DOI:10.1103/physrevb.108.085121
Ville A. J. Pyykkönen; Sebastiano Peotta; Päivi Törmä Suppression of Nonequilibrium Quasiparticle Transport in Flat-Band Superconductors, Physical Review Letters, Volume 130 (2023) no. 21 | DOI:10.1103/physrevlett.130.216003
Junkai Dong; Jie Wang; Patrick J. Ledwith; Ashvin Vishwanath; Daniel E. Parker Composite Fermi Liquid at Zero Magnetic Field in Twisted MoTe2, Physical Review Letters, Volume 131 (2023) no. 13 | DOI:10.1103/physrevlett.131.136502
Päivi Törmä Essay: Where Can Quantum Geometry Lead Us?, Physical Review Letters, Volume 131 (2023) no. 24 | DOI:10.1103/physrevlett.131.240001
Domenico Di Sante; Bongjae Kim; Werner Hanke; Tim Wehling; Cesare Franchini; Ronny Thomale; Giorgio Sangiovanni Electronic correlations and universal long-range scaling in kagome metals, Physical Review Research, Volume 5 (2023) no. 1 | DOI:10.1103/physrevresearch.5.l012008
Nobuyuki Okuma; Tomonari Mizoguchi Relationship between two-particle topology and fractional Chern insulator, Physical Review Research, Volume 5 (2023) no. 1 | DOI:10.1103/physrevresearch.5.013112
Peizhi Mai; Benjamin E. Feldman; Philip W. Phillips Topological Mott insulator at quarter filling in the interacting Haldane model, Physical Review Research, Volume 5 (2023) no. 1 | DOI:10.1103/physrevresearch.5.013162
Benjamin Michen; Cécile Repellin; Jan Carl Budich Adiabatic preparation of fractional Chern insulators from an effective thin-torus limit, Physical Review Research, Volume 5 (2023) no. 2 | DOI:10.1103/physrevresearch.5.023100
Jie Wang; Semyon Klevtsov; Zhao Liu Origin of model fractional Chern insulators in all topological ideal flatbands: Explicit color-entangled wave function and exact density algebra, Physical Review Research, Volume 5 (2023) no. 2 | DOI:10.1103/physrevresearch.5.023167
Junkai Dong; Patrick J. Ledwith; Eslam Khalaf; Jong Yeon Lee; Ashvin Vishwanath Many-body ground states from decomposition of ideal higher Chern bands: Applications to chirally twisted graphene multilayers, Physical Review Research, Volume 5 (2023) no. 2 | DOI:10.1103/physrevresearch.5.023166
Nicolás Morales-Durán; Jie Wang; Gabriel R. Schleder; Mattia Angeli; Ziyan Zhu; Efthimios Kaxiras; Cécile Repellin; Jennifer Cano Pressure-enhanced fractional Chern insulators along a magic line in moiré transition metal dichalcogenides, Physical Review Research, Volume 5 (2023) no. 3 | DOI:10.1103/physrevresearch.5.l032022
Peng-Sheng Hu; Yi-Han Zhou; Zhao Liu Floquet fractional Chern insulators and competing phases in twisted bilayer graphene, SciPost Physics, Volume 15 (2023) no. 4 | DOI:10.21468/scipostphys.15.4.148
Trithep Devakul; Patrick J. Ledwith; Li-Qiao Xia; Aviram Uri; Sergio C. de la Barrera; Pablo Jarillo-Herrero; Liang Fu Magic-angle helical trilayer graphene, Science Advances, Volume 9 (2023) no. 36 | DOI:10.1126/sciadv.adi6063
Jeronimo G. C. Martinez; Christie S. Chiu; Basil M. Smitham; Andrew A. Houck Flat-band localization and interaction-induced delocalization of photons, Science Advances, Volume 9 (2023) no. 50 | DOI:10.1126/sciadv.adj7195
Nisarga Paul; Yang Zhang; Liang Fu Giant proximity exchange and flat Chern band in 2D magnet-semiconductor heterostructures, Science Advances, Volume 9 (2023) no. 8 | DOI:10.1126/sciadv.abn1401
Jinsen Han; Xiansi Wang; Hui Tan; Rui Cao; Jiayu Dai; Yongqiang Li; Jianmin Yuan Interaction-induced topological transition in spin-orbit coupled ultracold bosons, Science China Physics, Mechanics Astronomy, Volume 66 (2023) no. 9 | DOI:10.1007/s11433-023-2166-y
Miljana Stojanovic; Ana Mancic; Milutin Stepic; Aleksandra Maluckov Shaping the dynamics of aharonov-bohm caged localized modes by nonlinearity, Facta universitatis - series: Physics, Chemistry and Technology, Volume 20 (2022) no. 1, p. 55 | DOI:10.2298/fupct2201055s
Kai Cheng; Shi-Chao Fang; Zhong-Bing Huang Enhancement of pairing correlations due to nearly flat bands in the plaquette-Lieb Hubbard model, International Journal of Modern Physics C, Volume 33 (2022) no. 08 | DOI:10.1142/s0129183122501078
Liqiang Zhuo; Huiru He; Ruimin Huang; Zhi Li; Weibin Qiu; Fengjiang Zhuang; Shaojian Su; Zhili Lin; Beiju Huang; Qiang Kan Flat band of Kagome lattice in graphene plasmonic crystals, Journal of Physics D: Applied Physics, Volume 55 (2022) no. 6, p. 065106 | DOI:10.1088/1361-6463/ac30fe
V. Yu. Irkhin; Yu. N. Skryabin Topological States in Strongly Correlated Systems, Journal of Superconductivity and Novel Magnetism, Volume 35 (2022) no. 8, p. 2141 | DOI:10.1007/s10948-022-06251-3
Martin Claassen; Lede Xian; Dante M. Kennes; Angel Rubio Ultra-strong spin–orbit coupling and topological moiré engineering in twisted ZrS2 bilayers, Nature Communications, Volume 13 (2022) no. 1 | DOI:10.1038/s41467-022-31604-w
M. Iskin Three-body problem in a multiband Hubbard model, Physical Review A, Volume 105 (2022) no. 6 | DOI:10.1103/physreva.105.063310
M. Iskin; A. Keleş Stability of (N+1) -body fermion clusters in a multiband Hubbard model, Physical Review A, Volume 106 (2022) no. 3 | DOI:10.1103/physreva.106.033304
Peize Ding; Ching Hua Lee; Xianxin Wu; Ronny Thomale Diagnosis of pairing symmetry by vortex and edge spectra in kagome superconductors, Physical Review B, Volume 105 (2022) no. 17 | DOI:10.1103/physrevb.105.174518
Yves H. Kwan; Yichen Hu; Steven H. Simon; S. A. Parameswaran Excitonic fractional quantum Hall hierarchy in moiré heterostructures, Physical Review B, Volume 105 (2022) no. 23 | DOI:10.1103/physrevb.105.235121
David Bauer; Spenser Talkington; Fenner Harper; Bartholomew Andrews; Rahul Roy Fractional Chern insulators with a non-Landau level continuum limit, Physical Review B, Volume 105 (2022) no. 4 | DOI:10.1103/physrevb.105.045144
Chao Han; Zhao Liu Disorder-driven phase transitions in bosonic fractional quantum Hall liquids, Physical Review B, Volume 105 (2022) no. 4 | DOI:10.1103/physrevb.105.045104
P. A. Almeida; L. S. Sousa; Tome M. Schmidt; G. B. Martins Ferromagnetism in armchair graphene nanoribbon heterostructures, Physical Review B, Volume 105 (2022) no. 5 | DOI:10.1103/physrevb.105.054416
Johannes Richter; Vadim Ohanyan; Jörg Schulenburg; Jürgen Schnack Electric field driven flat bands: Enhanced magnetoelectric and electrocaloric effects in frustrated quantum magnets, Physical Review B, Volume 105 (2022) no. 5 | DOI:10.1103/physrevb.105.054420
Zhihuan Dong; T. Senthil Evolution between quantum Hall and conducting phases: Simple models and some results, Physical Review B, Volume 105 (2022) no. 8 | DOI:10.1103/physrevb.105.085301
Tomáš Bzdušek; Joseph Maciejko Flat bands and band-touching from real-space topology in hyperbolic lattices, Physical Review B, Volume 106 (2022) no. 15 | DOI:10.1103/physrevb.106.155146
Bruno Mera; Nikola Paunković; Syed Tahir Amin; Vítor R. Vieira Information geometry of quantum critical submanifolds: Relevant, marginal, and irrelevant operators, Physical Review B, Volume 106 (2022) no. 15 | DOI:10.1103/physrevb.106.155101
Aamna Ahmed; Ajith Ramachandran; Ivan M. Khaymovich; Auditya Sharma Flat band based multifractality in the all-band-flat diamond chain, Physical Review B, Volume 106 (2022) no. 20 | DOI:10.1103/physrevb.106.205119
E. Tirrito; M. Lewenstein; A. Bermudez Topological chiral currents in the Gross-Neveu model extension, Physical Review B, Volume 106 (2022) no. 4 | DOI:10.1103/physrevb.106.045147
Shiwan Miao; Zhongchi Zhang; Yajuan Zhao; Zihan Zhao; Huaichuan Wang; Jiazhong Hu Bosonic fractional quantum Hall conductance in shaken honeycomb optical lattices without flat bands, Physical Review B, Volume 106 (2022) no. 5 | DOI:10.1103/physrevb.106.054310
Weicheng Ye; Sung-Sik Lee; Liujun Zou Ultraviolet-Infrared Mixing in Marginal Fermi Liquids, Physical Review Letters, Volume 128 (2022) no. 10 | DOI:10.1103/physrevlett.128.106402
Jie Wang; Zhao Liu Hierarchy of Ideal Flatbands in Chiral Twisted Multilayer Graphene Models, Physical Review Letters, Volume 128 (2022) no. 17 | DOI:10.1103/physrevlett.128.176403
Patrick J. Ledwith; Ashvin Vishwanath; Eslam Khalaf Family of Ideal Chern Flatbands with Arbitrary Chern Number in Chiral Twisted Graphene Multilayers, Physical Review Letters, Volume 128 (2022) no. 17 | DOI:10.1103/physrevlett.128.176404
Juraj Hasik; Maarten Van Damme; Didier Poilblanc; Laurens Vanderstraeten Simulating Chiral Spin Liquids with Projected Entangled-Pair States, Physical Review Letters, Volume 129 (2022) no. 17 | DOI:10.1103/physrevlett.129.177201
Zhi-Da Song; B. Andrei Bernevig Magic-Angle Twisted Bilayer Graphene as a Topological Heavy Fermion Problem, Physical Review Letters, Volume 129 (2022) no. 4 | DOI:10.1103/physrevlett.129.047601
Z. Zeybek; R.O. Umucalılar Structure of the nearly-degenerate manifold of lattice quasiholes on a torus, Physics Letters A, Volume 445 (2022), p. 128259 | DOI:10.1016/j.physleta.2022.128259
Bruno Mera; Anwei Zhang; Nathan Goldman Relating the topology of Dirac Hamiltonians to quantum geometry: When the quantum metric dictates Chern numbers and winding numbers, SciPost Physics, Volume 12 (2022) no. 1 | DOI:10.21468/scipostphys.12.1.018
Botao Wang; Xiaoyu Dong; André Eckardt Measurable signatures of bosonic fractional Chern insulator states and their fractional excitations in a quantum-gas microscope, SciPost Physics, Volume 12 (2022) no. 3 | DOI:10.21468/scipostphys.12.3.095
Daniel Varjas; Ahmed Abouelkomsan; Kang Yang; Emil Bergholtz Topological lattice models with constant Berry curvature, SciPost Physics, Volume 12 (2022) no. 4 | DOI:10.21468/scipostphys.12.4.118
Patrick J. Ledwith; Eslam Khalaf; Ashvin Vishwanath Strong coupling theory of magic-angle graphene: A pedagogical introduction, Annals of Physics, Volume 435 (2021), p. 168646 | DOI:10.1016/j.aop.2021.168646
V. Yu. Irkhin; Yu. N. Skryabin Electronic States and the Anomalous Hall Effect in Strongly Correlated Topological Systems, Journal of Experimental and Theoretical Physics, Volume 133 (2021) no. 1, p. 116 | DOI:10.1134/s1063776121060030
Pratik Sathe; Fenner Harper; Rahul Roy Compactly supported Wannier functions and strictly local projectors, Journal of Physics A: Mathematical and Theoretical, Volume 54 (2021) no. 33, p. 335302 | DOI:10.1088/1751-8121/ac1167
Xi Wu; M A Zubkov Anomalous fractional quantum Hall effect and multi-valued Hamiltonians, Journal of Physics: Condensed Matter, Volume 33 (2021) no. 35, p. 355601 | DOI:10.1088/1361-648x/ac0bec
Yonglong Xie; Andrew T. Pierce; Jeong Min Park; Daniel E. Parker; Eslam Khalaf; Patrick Ledwith; Yuan Cao; Seung Hwan Lee; Shaowen Chen; Patrick R. Forrester; Kenji Watanabe; Takashi Taniguchi; Ashvin Vishwanath; Pablo Jarillo-Herrero; Amir Yacoby Fractional Chern insulators in magic-angle twisted bilayer graphene, Nature, Volume 600 (2021) no. 7889, p. 439 | DOI:10.1038/s41586-021-04002-3
M. Iskin Two-body problem in a multiband lattice and the role of quantum geometry, Physical Review A, Volume 103 (2021) no. 5 | DOI:10.1103/physreva.103.053311
Ai-Lei He Role of the defect-core orbital in fractional Chern insulators, Physical Review B, Volume 103 (2021) no. 11 | DOI:10.1103/physrevb.103.115138
Liangdong Hu; Zhao Liu; D. N. Sheng; F. D. M. Haldane; W. Zhu Microscopic diagnosis of universal geometric responses in fractional quantum Hall liquids, Physical Review B, Volume 103 (2021) no. 8 | DOI:10.1103/physrevb.103.085103
Bruno Mera; Tomoki Ozawa Engineering geometrically flat Chern bands with Fubini-Study Kähler structure, Physical Review B, Volume 104 (2021) no. 11 | DOI:10.1103/physrevb.104.115160
Bartholomew Andrews; Titus Neupert; Gunnar Möller Stability, phase transitions, and numerical breakdown of fractional Chern insulators in higher Chern bands of the Hofstadter model, Physical Review B, Volume 104 (2021) no. 12 | DOI:10.1103/physrevb.104.125107
Leonardo S. G. Leite; R. L. Doretto Flat-band ferromagnetism and spin waves in the Haldane-Hubbard model, Physical Review B, Volume 104 (2021) no. 15 | DOI:10.1103/physrevb.104.155129
Daniel Shaffer; Jian Wang; Luiz H. Santos Theory of Hofstadter superconductors, Physical Review B, Volume 104 (2021) no. 18 | DOI:10.1103/physrevb.104.184501
Tilen Čadež; Yeongjun Kim; Alexei Andreanov; Sergej Flach Metal-insulator transition in infinitesimally weakly disordered flat bands, Physical Review B, Volume 104 (2021) no. 18 | DOI:10.1103/physrevb.104.l180201
Frank Schindler; B. Andrei Bernevig Noncompact atomic insulators, Physical Review B, Volume 104 (2021) no. 20 | DOI:10.1103/physrevb.104.l201114
Yixing Fu; Justin H. Wilson; J. H. Pixley Flat topological bands and eigenstate criticality in a quasiperiodic insulator, Physical Review B, Volume 104 (2021) no. 4 | DOI:10.1103/physrevb.104.l041106
Zhao Liu; Ahmed Abouelkomsan; Emil J. Bergholtz Gate-Tunable Fractional Chern Insulators in Twisted Double Bilayer Graphene, Physical Review Letters, Volume 126 (2021) no. 2 | DOI:10.1103/physrevlett.126.026801
Zhao Liu; Ajit C. Balram; Zlatko Papić; Andrey Gromov Quench Dynamics of Collective Modes in Fractional Quantum Hall Bilayers, Physical Review Letters, Volume 126 (2021) no. 7 | DOI:10.1103/physrevlett.126.076604
Xianxin Wu; Tilman Schwemmer; Tobias Müller; Armando Consiglio; Giorgio Sangiovanni; Domenico Di Sante; Yasir Iqbal; Werner Hanke; Andreas P. Schnyder; M. Michael Denner; Mark H. Fischer; Titus Neupert; Ronny Thomale Nature of Unconventional Pairing in the Kagome Superconductors AV3Sb5 ( A=K,Rb,Cs ), Physical Review Letters, Volume 127 (2021) no. 17 | DOI:10.1103/physrevlett.127.177001
Jie Wang; Jennifer Cano; Andrew J. Millis; Zhao Liu; Bo Yang Exact Landau Level Description of Geometry and Interaction in a Flatband, Physical Review Letters, Volume 127 (2021) no. 24 | DOI:10.1103/physrevlett.127.246403
Naren Manjunath; Maissam Barkeshli Crystalline gauge fields and quantized discrete geometric response for Abelian topological phases with lattice symmetry, Physical Review Research, Volume 3 (2021) no. 1 | DOI:10.1103/physrevresearch.3.013040
Heqiu Li; Umesh Kumar; Kai Sun; Shi-Zeng Lin Spontaneous fractional Chern insulators in transition metal dichalcogenide moiré superlattices, Physical Review Research, Volume 3 (2021) no. 3 | DOI:10.1103/physrevresearch.3.l032070
Zhao Liu; Emil J. Bergholtz; Jan Carl Budich Dissipative preparation of fractional Chern insulators, Physical Review Research, Volume 3 (2021) no. 4 | DOI:10.1103/physrevresearch.3.043119
Nishchhal Verma; Tamaghna Hazra; Mohit Randeria Optical spectral weight, phase stiffness, and T c bounds for trivial and topological flat band superconductors, Proceedings of the National Academy of Sciences, Volume 118 (2021) no. 34 | DOI:10.1073/pnas.2106744118
Yuan-Ming Lu; Ying Ran; Masaki Oshikawa Filling-enforced constraint on the quantized Hall conductivity on a periodic lattice, Annals of Physics, Volume 413 (2020), p. 168060 | DOI:10.1016/j.aop.2019.168060
Liqin Tang; Daohong Song; Shiqi Xia; Shiqiang Xia; Jina Ma; Wenchao Yan; Yi Hu; Jingjun Xu; Daniel Leykam; Zhigang Chen Photonic flat-band lattices and unconventional light localization, Nanophotonics, Volume 9 (2020) no. 5, p. 1161 | DOI:10.1515/nanoph-2020-0043
C. Repellin; J. Léonard; N. Goldman Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles, Physical Review A, Volume 102 (2020) no. 6 | DOI:10.1103/physreva.102.063316
Yoshihito Kuno; Tomonari Mizoguchi; Yasuhiro Hatsugai Interaction-induced doublons and embedded topological subspace in a complete flat-band system, Physical Review A, Volume 102 (2020) no. 6 | DOI:10.1103/physreva.102.063325
Anna Hackenbroich; B. Andrei Bernevig; Norbert Schuch; Nicolas Regnault Fermionic tensor networks for higher-order topological insulators from charge pumping, Physical Review B, Volume 101 (2020) no. 11 | DOI:10.1103/physrevb.101.115134
Ai-Lei He; Wei-Wei Luo; Hong Yao; Yi-Fei Wang Non-Abelian fractional Chern insulator in disk geometry, Physical Review B, Volume 101 (2020) no. 16 | DOI:10.1103/physrevb.101.165127
Yves H. Kwan; S. A. Parameswaran; S. L. Sondhi Twisted bilayer graphene in a parallel magnetic field, Physical Review B, Volume 101 (2020) no. 20 | DOI:10.1103/physrevb.101.205116
Shohei Hayashida; Hajime Ishikawa; Yoshihiko Okamoto; Tsuyoshi Okubo; Zenji Hiroi; Gøran J. Nilsen; Hannu Mutka; Takatsugu Masuda Zero-energy excitation in the classical kagome antiferromagnet NaBa2Mn3F11, Physical Review B, Volume 101 (2020) no. 21 | DOI:10.1103/physrevb.101.214409
Bartholomew Andrews; Alexey Soluyanov Fractional quantum Hall states for moiré superstructures in the Hofstadter regime, Physical Review B, Volume 101 (2020) no. 23 | DOI:10.1103/physrevb.101.235312
Mohsen Hafez-Torbati; Jun-Hui Zheng; Bernhard Irsigler; Walter Hofstetter Interaction-driven topological phase transitions in fermionic SU(3) systems, Physical Review B, Volume 101 (2020) no. 24 | DOI:10.1103/physrevb.101.245159
Ramanjit Sohal; Eduardo Fradkin Intertwined order in fractional Chern insulators from finite-momentum pairing of composite fermions, Physical Review B, Volume 101 (2020) no. 24 | DOI:10.1103/physrevb.101.245154
Wei-Wei Luo; Ai-Lei He; Yuan Zhou; Yi-Fei Wang; Chang-De Gong Quantum phase transitions in a ν=12 bosonic fractional Chern insulator, Physical Review B, Volume 102 (2020) no. 15 | DOI:10.1103/physrevb.102.155120
Steven H. Simon; Mark S. Rudner Contrasting lattice geometry dependent versus independent quantities: Ramifications for Berry curvature, energy gaps, and dynamics, Physical Review B, Volume 102 (2020) no. 16 | DOI:10.1103/physrevb.102.165148
Chunhan Feng; Richard T. Scalettar Interplay of flat electronic bands with Holstein phonons, Physical Review B, Volume 102 (2020) no. 23 | DOI:10.1103/physrevb.102.235152
Cécile Repellin; Zhihuan Dong; Ya-Hui Zhang; T. Senthil Ferromagnetism in Narrow Bands of Moiré Superlattices, Physical Review Letters, Volume 124 (2020) no. 18 | DOI:10.1103/physrevlett.124.187601
S. Longhi Non-Bloch-Band Collapse and Chiral Zener Tunneling, Physical Review Letters, Volume 124 (2020) no. 6 | DOI:10.1103/physrevlett.124.066602
Jürgen Schnack; Jörg Schulenburg; Andreas Honecker; Johannes Richter Magnon Crystallization in the Kagome Lattice Antiferromagnet, Physical Review Letters, Volume 125 (2020) no. 11 | DOI:10.1103/physrevlett.125.117207
Jonah Herzog-Arbeitman; Zhi-Da Song; Nicolas Regnault; B. Andrei Bernevig Hofstadter Topology: Noncrystalline Topological Materials at High Flux, Physical Review Letters, Volume 125 (2020) no. 23 | DOI:10.1103/physrevlett.125.236804
Johannes Motruk; Ilyoun Na Detecting Fractional Chern Insulators in Optical Lattices Through Quantized Displacement, Physical Review Letters, Volume 125 (2020) no. 23 | DOI:10.1103/physrevlett.125.236401
Yu-Xiang Zhang; Klaus Mølmer Subradiant Emission from Regular Atomic Arrays: Universal Scaling of Decay Rates from the Generalized Bloch Theorem, Physical Review Letters, Volume 125 (2020) no. 25 | DOI:10.1103/physrevlett.125.253601
E. Macaluso; T. Comparin; R. O. Umucalılar; M. Gerster; S. Montangero; M. Rizzi; I. Carusotto Charge and statistics of lattice quasiholes from density measurements: A tree tensor network study, Physical Review Research, Volume 2 (2020) no. 1 | DOI:10.1103/physrevresearch.2.013145
Ritu Nehra; Devendra Singh Bhakuni; Ajith Ramachandran; Auditya Sharma Flat bands and entanglement in the Kitaev ladder, Physical Review Research, Volume 2 (2020) no. 1 | DOI:10.1103/physrevresearch.2.013175
Grazia Salerno; Nathan Goldman; Giandomenico Palumbo Floquet-engineering of nodal rings and nodal spheres and their characterization using the quantum metric, Physical Review Research, Volume 2 (2020) no. 1 | DOI:10.1103/physrevresearch.2.013224
Cécile Repellin; T. Senthil Chern bands of twisted bilayer graphene: Fractional Chern insulators and spin phase transition, Physical Review Research, Volume 2 (2020) no. 2 | DOI:10.1103/physrevresearch.2.023238
Nyayabanta Swain; Madhuparna Karmakar Strain-induced superconductor-insulator transition on a Lieb lattice, Physical Review Research, Volume 2 (2020) no. 2 | DOI:10.1103/physrevresearch.2.023136
Patrick J. Ledwith; Grigory Tarnopolsky; Eslam Khalaf; Ashvin Vishwanath Fractional Chern insulator states in twisted bilayer graphene: An analytical approach, Physical Review Research, Volume 2 (2020) no. 2 | DOI:10.1103/physrevresearch.2.023237
Elliott H. Lieb; Nicolas Rougerie; Jakob Yngvason Local incompressibility estimates for the Laughlin phase, Communications in Mathematical Physics, Volume 365 (2019) no. 2, p. 431 | DOI:10.1007/s00220-018-3181-1
P.T.T. Le; Mohsen Yarmohammadi Magnonic heat transport in the Lieb lattice, Journal of Magnetism and Magnetic Materials, Volume 469 (2019), p. 623 | DOI:10.1016/j.jmmm.2018.09.042
P.T.T. Le; Mohsen Yarmohammadi Perturbed magnonic thermodynamic properties of the impurity-infected Lieb lattice, Journal of Magnetism and Magnetic Materials, Volume 474 (2019), p. 137 | DOI:10.1016/j.jmmm.2018.10.138
Dina Genkina; Lauren M Aycock; Hsin-I Lu; Mingwu Lu; Alina M Pineiro; I B Spielman Imaging topology of Hofstadter ribbons, New Journal of Physics, Volume 21 (2019) no. 5, p. 053021 | DOI:10.1088/1367-2630/ab165b
P.T.T. Le; Mohsen Yarmohammadi Impurity-tuning of phase transition and mid-state in 2D spin Lieb lattice, Physica E: Low-dimensional Systems and Nanostructures, Volume 105 (2019), p. 56 | DOI:10.1016/j.physe.2018.08.019
Povilas Račkauskas; Viktor Novičenko; Han Pu; Gediminas Juzeliūnas Non-Abelian geometric potentials and spin-orbit coupling for periodically driven systems, Physical Review A, Volume 100 (2019) no. 6 | DOI:10.1103/physreva.100.063616
M. Iskin Origin of flat-band superfluidity on the Mielke checkerboard lattice, Physical Review A, Volume 99 (2019) no. 5 | DOI:10.1103/physreva.99.053608
G. Magnifico; D. Vodola; E. Ercolessi; S. P. Kumar; M. Müller; A. Bermudez ZN gauge theories coupled to topological fermions: QED2 with a quantum mechanical θ angle, Physical Review B, Volume 100 (2019) no. 11 | DOI:10.1103/physrevb.100.115152
Chi-Cheng Lee; Antoine Fleurence; Yukiko Yamada-Takamura; Taisuke Ozaki Hidden mechanism for embedding the flat bands of Lieb, kagome, and checkerboard lattices in other structures, Physical Review B, Volume 100 (2019) no. 4 | DOI:10.1103/physrevb.100.045150
Sutirtha Mukherjee; Kwon Park Spin separation in the half-filled fractional topological insulator, Physical Review B, Volume 99 (2019) no. 11 | DOI:10.1103/physrevb.99.115131
E. Tirrito; M. Rizzi; G. Sierra; M. Lewenstein; A. Bermudez Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian, Physical Review B, Volume 99 (2019) no. 12 | DOI:10.1103/physrevb.99.125106
Ai-Lei He; Wei-Wei Luo; Yi-Fei Wang; Chang-De Gong Fractional Chern insulators in singular geometries, Physical Review B, Volume 99 (2019) no. 16 | DOI:10.1103/physrevb.99.165105
Zhao Liu; Emil J. Bergholtz Fractional quantum Hall states with gapped boundaries in an extreme lattice limit, Physical Review B, Volume 99 (2019) no. 19 | DOI:10.1103/physrevb.99.195122
Muhammad Sajid; János K. Asbóth; Dieter Meschede; Reinhard F. Werner; Andrea Alberti Creating anomalous Floquet Chern insulators with magnetic quantum walks, Physical Review B, Volume 99 (2019) no. 21 | DOI:10.1103/physrevb.99.214303
Błażej Jaworowski; Nicolas Regnault; Zhao Liu Characterization of quasiholes in two-component fractional quantum Hall states and fractional Chern insulators in |C| =2 flat bands, Physical Review B, Volume 99 (2019) no. 4 | DOI:10.1103/physrevb.99.045136
Ya-Hui Zhang; Dan Mao; Yuan Cao; Pablo Jarillo-Herrero; T. Senthil Nearly flat Chern bands in moiré superlattices, Physical Review B, Volume 99 (2019) no. 7 | DOI:10.1103/physrevb.99.075127
Christina Knapp; Eric M. Spanton; Andrea F. Young; Chetan Nayak; Michael P. Zaletel Fractional Chern insulator edges and layer-resolved lattice contacts, Physical Review B, Volume 99 (2019) no. 8 | DOI:10.1103/physrevb.99.081114
H. D. Scammell; O. P. Sushkov Tuning the topological insulator states of artificial graphene, Physical Review B, Volume 99 (2019) no. 8 | DOI:10.1103/physrevb.99.085419
G. Magnifico; D. Vodola; E. Ercolessi; S. P. Kumar; M. Müller; A. Bermudez Symmetry-protected topological phases in lattice gauge theories: TopologicalQED2, Physical Review D, Volume 99 (2019) no. 1 | DOI:10.1103/physrevd.99.014503
C. Repellin; N. Goldman Detecting Fractional Chern Insulators through Circular Dichroism, Physical Review Letters, Volume 122 (2019) no. 16 | DOI:10.1103/physrevlett.122.166801
N. R. Cooper; J. Dalibard; I. B. Spielman Topological bands for ultracold atoms, Reviews of Modern Physics, Volume 91 (2019) no. 1 | DOI:10.1103/revmodphys.91.015005
Moshe Goldstein Dissipation-induced topological insulators: A no-go theorem and a recipe, SciPost Physics, Volume 7 (2019) no. 5 | DOI:10.21468/scipostphys.7.5.067
Daniel Leykam; Alexei Andreanov; Sergej Flach Artificial flat band systems: from lattice models to experiments, Advances in Physics: X, Volume 3 (2018) no. 1, p. 1473052 | DOI:10.1080/23746149.2018.1473052
A. Bermudez; E. Tirrito; M. Rizzi; M. Lewenstein; S. Hands Gross–Neveu–Wilson model and correlated symmetry-protected topological phases, Annals of Physics, Volume 399 (2018), p. 149 | DOI:10.1016/j.aop.2018.10.007
Mohsen Yarmohammadi; Bui Dinh Hoi A controllable magneto-topological property and band gap engineering in 2D ferromagnetic Lieb lattice, Journal of Magnetism and Magnetic Materials, Volume 464 (2018), p. 103 | DOI:10.1016/j.jmmm.2018.05.046
M Aidelsburger Artificial gauge fields and topology with ultracold atoms in optical lattices, Journal of Physics B: Atomic, Molecular and Optical Physics, Volume 51 (2018) no. 19, p. 193001 | DOI:10.1088/1361-6455/aac120
Qing-Qing Cheng; Wei-Wei Luo; Ai-Lei He; Yi-Fei Wang Topological quantum phase transitions of Chern insulators in disk geometry, Journal of Physics: Condensed Matter, Volume 30 (2018) no. 35, p. 355502 | DOI:10.1088/1361-648x/aad51f
Xi Luo; Fei-Ye Li; Yue Yu Anomalous magnetic transport and extra quantum oscillation in semi-metallic photon-like fermion gas, New Journal of Physics, Volume 20 (2018) no. 8, p. 083036 | DOI:10.1088/1367-2630/aad9b7
Jozef Strečka; Johannes Richter; Oleg Derzhko; Taras Verkholyak; Katarína Karľová Magnetization process and low-temperature thermodynamics of a spin-1/2 Heisenberg octahedral chain, Physica B: Condensed Matter, Volume 536 (2018), p. 364 | DOI:10.1016/j.physb.2017.09.118
R. O. Umucalılar Real-space probe for lattice quasiholes, Physical Review A, Volume 98 (2018) no. 6 | DOI:10.1103/physreva.98.063629
Mantas Račiūnas; F. Nur Ünal; Egidijus Anisimovas; André Eckardt Creating, probing, and manipulating fractionally charged excitations of fractional Chern insulators in optical lattices, Physical Review A, Volume 98 (2018) no. 6 | DOI:10.1103/physreva.98.063621
Johannes Richter; Olesia Krupnitska; Vasyl Baliha; Taras Krokhmalskii; Oleg Derzhko Thermodynamic properties of Ba2CoSi2O6Cl2 in a strong magnetic field: Realization of flat-band physics in a highly frustrated quantum magnet, Physical Review B, Volume 97 (2018) no. 2 | DOI:10.1103/physrevb.97.024405
Bartholomew Andrews; Gunnar Möller Stability of fractional Chern insulators in the effective continuum limit of Harper-Hofstadter bands with Chern number |C|>1, Physical Review B, Volume 97 (2018) no. 3 | DOI:10.1103/physrevb.97.035159
M. Röntgen; C. V. Morfonios; P. Schmelcher Compact localized states and flat bands from local symmetry partitioning, Physical Review B, Volume 97 (2018) no. 3 | DOI:10.1103/physrevb.97.035161
Zhao Liu; Andrey Gromov; Zlatko Papić Geometric quench and nonequilibrium dynamics of fractional quantum Hall states, Physical Review B, Volume 98 (2018) no. 15 | DOI:10.1103/physrevb.98.155140
Yumin Luan; Yinhan Zhang; Junren Shi Evolution of the optimal trial wave function with interactions in fractional Chern insulators, Physical Review B, Volume 98 (2018) no. 19 | DOI:10.1103/physrevb.98.195131
Thomas Bilitewski; Roderich Moessner Disordered flat bands on the kagome lattice, Physical Review B, Volume 98 (2018) no. 23 | DOI:10.1103/physrevb.98.235109
Jörn W. F. Venderbos; Yichen Hu; C. L. Kane Higher angular momentum band inversions in two dimensions, Physical Review B, Volume 98 (2018) no. 23 | DOI:10.1103/physrevb.98.235160
Fenner Harper; David Bauer; T. S. Jackson; Rahul Roy Finite-wave-vector electromagnetic response in lattice quantum Hall systems, Physical Review B, Volume 98 (2018) no. 24 | DOI:10.1103/physrevb.98.245303
Yichen Hu; Jörn W. F. Venderbos; C. L. Kane Fractional Excitonic Insulator, Physical Review Letters, Volume 121 (2018) no. 12 | DOI:10.1103/physrevlett.121.126601
Shiqi Xia; Ajith Ramachandran; Shiqiang Xia; Denghui Li; Xiuying Liu; Liqin Tang; Yi Hu; Daohong Song; Jingjun Xu; Daniel Leykam; Sergej Flach; Zhigang Chen Unconventional Flatband Line States in Photonic Lieb Lattices, Physical Review Letters, Volume 121 (2018) no. 26 | DOI:10.1103/physrevlett.121.263902
Jong Yeon Lee; Chong Wang; Michael P. Zaletel; Ashvin Vishwanath; Yin-Chen He Emergent Multi-Flavor QED3 at the Plateau Transition between Fractional Chern Insulators: Applications to Graphene Heterostructures, Physical Review X, Volume 8 (2018) no. 3 | DOI:10.1103/physrevx.8.031015
Błażej Jaworowski; Piotr Kaczmarkiewicz; Paweł Potasz; Arkadiusz Wójs Interband excitations in the 1D limit of two-band fractional Chern insulators, Physics Letters A, Volume 382 (2018) no. 21, p. 1419 | DOI:10.1016/j.physleta.2018.03.035
Cécile Repellin; Nicolas Regnault Lattices for fractional Chern insulators, Science, Volume 360 (2018) no. 6384, p. 31 | DOI:10.1126/science.aar5675
Eric M. Spanton; Alexander A. Zibrov; Haoxin Zhou; Takashi Taniguchi; Kenji Watanabe; Michael P. Zaletel; Andrea F. Young Observation of fractional Chern insulators in a van der Waals heterostructure, Science, Volume 360 (2018) no. 6384, p. 62 | DOI:10.1126/science.aan8458
S. Klembt; T. H. Harder; O. A. Egorov; K. Winkler; H. Suchomel; J. Beierlein; M. Emmerling; C. Schneider; S. Höfling Polariton condensation in S- and P-flatbands in a two-dimensional Lieb lattice, Applied Physics Letters, Volume 111 (2017) no. 23 | DOI:10.1063/1.4995385
Tao Du; Yue-Xun Li; Yan Li; He-Lin Lu; Hui Zhang Phase transitions of the dimerized Kane–Mele model with/without strong interaction, Journal of Physics: Condensed Matter, Volume 29 (2017) no. 38, p. 385601 | DOI:10.1088/1361-648x/aa7a86
Liang-Liang Wan; Xin-You Lü; Jin-Hua Gao; Ying Wu Controllable photon and phonon localization in optomechanical Lieb lattices, Optics Express, Volume 25 (2017) no. 15, p. 17364 | DOI:10.1364/oe.25.017364
Viktor Novičenko; Egidijus Anisimovas; Gediminas Juzeliūnas Floquet analysis of a quantum system with modulated periodic driving, Physical Review A, Volume 95 (2017) no. 2 | DOI:10.1103/physreva.95.023615
J. C. Budich; A. Elben; M. Łącki; A. Sterdyniak; M. A. Baranov; P. Zoller Coupled atomic wires in a synthetic magnetic field, Physical Review A, Volume 95 (2017) no. 4 | DOI:10.1103/physreva.95.043632
Hamidreza Ramezani Non-Hermiticity-induced flat band, Physical Review A, Volume 96 (2017) no. 1 | DOI:10.1103/physreva.96.011802
Liang Du; Xiaoting Zhou; Gregory A. Fiete Quadratic band touching points and flat bands in two-dimensional topological Floquet systems, Physical Review B, Volume 95 (2017) no. 3 | DOI:10.1103/physrevb.95.035136
Mykola Maksymenko; Roderich Moessner; Kirill Shtengel Persistence of the flat band in a kagome magnet with dipolar interactions, Physical Review B, Volume 96 (2017) no. 13 | DOI:10.1103/physrevb.96.134411
Cécile Repellin; Tarik Yefsah; Antoine Sterdyniak Creating a bosonic fractional quantum Hall state by pairing fermions, Physical Review B, Volume 96 (2017) no. 16 | DOI:10.1103/physrevb.96.161111
Ching Hua Lee; Martin Claassen; Ronny Thomale Band structure engineering of ideal fractional Chern insulators, Physical Review B, Volume 96 (2017) no. 16 | DOI:10.1103/physrevb.96.165150
Zhao Liu; Gunnar Möller; Emil J. Bergholtz Exotic Non-Abelian Topological Defects in Lattice Fractional Quantum Hall States, Physical Review Letters, Volume 119 (2017) no. 10 | DOI:10.1103/physrevlett.119.106801
J. Jünemann; A. Piga; S.-J. Ran; M. Lewenstein; M. Rizzi; A. Bermudez Exploring Interacting Topological Insulators with Ultracold Atoms: The Synthetic Creutz-Hubbard Model, Physical Review X, Volume 7 (2017) no. 3 | DOI:10.1103/physrevx.7.031057
Andrey Gromov; Dam Thanh Son Bimetric Theory of Fractional Quantum Hall States, Physical Review X, Volume 7 (2017) no. 4 | DOI:10.1103/physrevx.7.041032
André Eckardt Colloquium: Atomic quantum gases in periodically driven optical lattices, Reviews of Modern Physics, Volume 89 (2017) no. 1 | DOI:10.1103/revmodphys.89.011004
Riccardo Rota; Wim Casteels; Cristiano Ciuti On the robustness of strongly correlated multi-photon states in frustrated driven-dissipative cavity lattices, The European Physical Journal Special Topics, Volume 226 (2017) no. 12, p. 2805 | DOI:10.1140/epjst/e2016-60379-0
N. Goldman; N. R. Cooper; J. Dalibard Preparing and Probing Chern Bands with Cold Atoms, Universal Themes of Bose-Einstein Condensation (2017), p. 274 | DOI:10.1017/9781316084366.016
Monika Aidelsburger Introduction, Artificial Gauge Fields with Ultracold Atoms in Optical Lattices (2016), p. 1 | DOI:10.1007/978-3-319-25829-4_1
Monika Aidelsburger Chern-Number Measurement of Hofstadter Bands, Artificial Gauge Fields with Ultracold Atoms in Optical Lattices (2016), p. 137 | DOI:10.1007/978-3-319-25829-4_8
Monika Aidelsburger Conclusions and Outlook, Artificial Gauge Fields with Ultracold Atoms in Optical Lattices (2016), p. 161 | DOI:10.1007/978-3-319-25829-4_9
Adolfo G Grushin; Sthitadhi Roy; Masudul Haque Response of fermions in Chern bands to spatially local quenches, Journal of Statistical Mechanics: Theory and Experiment, Volume 2016 (2016) no. 8, p. 083103 | DOI:10.1088/1742-5468/2016/08/083103
F. Grusdt; N. Y. Yao; D. Abanin; M. Fleischhauer; E. Demler Interferometric measurements of many-body topological invariants using mobile impurities, Nature Communications, Volume 7 (2016) no. 1 | DOI:10.1038/ncomms11994
W. Casteels; R. Rota; F. Storme; C. Ciuti Probing photon correlations in the dark sites of geometrically frustrated cavity lattices, Physical Review A, Volume 93 (2016) no. 4 | DOI:10.1103/physreva.93.043833
Mantas Račiūnas; Giedrius Žlabys; André Eckardt; Egidijus Anisimovas Modified interactions in a Floquet topological system on a square lattice and their impact on a bosonic fractional Chern insulator state, Physical Review A, Volume 93 (2016) no. 4 | DOI:10.1103/physreva.93.043618
Zi-He Yang; Yan-Pu Wang; Zheng-Yuan Xue; Wan-Li Yang; Yong Hu; Jin-Hua Gao; Ying Wu Circuit quantum electrodynamics simulator of flat band physics in a Lieb lattice, Physical Review A, Volume 93 (2016) no. 6 | DOI:10.1103/physreva.93.062319
Stefan S. Natu; Erich J. Mueller; S. Das Sarma Competing ground states of strongly correlated bosons in the Harper-Hofstadter-Mott model, Physical Review A, Volume 93 (2016) no. 6 | DOI:10.1103/physreva.93.063610
V. S. Arun; R. Sohal; C. Hickey; A. Paramekanti Mean field study of the topological Haldane-Hubbard model of spin-12fermions, Physical Review B, Volume 93 (2016) no. 11 | DOI:10.1103/physrevb.93.115110
Ching Hua Lee; Daniel P. Arovas; Ronny Thomale Band flatness optimization through complex analysis, Physical Review B, Volume 93 (2016) no. 15 | DOI:10.1103/physrevb.93.155155
David Bauer; T. S. Jackson; Rahul Roy Quantum geometry and stability of the fractional quantum Hall effect in the Hofstadter model, Physical Review B, Volume 93 (2016) no. 23 | DOI:10.1103/physrevb.93.235133
Xiu-Hao Deng; Chen-Yen Lai; Chih-Chun Chien Superconducting circuit simulator of Bose-Hubbard model with a flat band, Physical Review B, Volume 93 (2016) no. 5 | DOI:10.1103/physrevb.93.054116
I. C. Fulga; M. Maksymenko Scattering matrix invariants of Floquet topological insulators, Physical Review B, Volume 93 (2016) no. 7 | DOI:10.1103/physrevb.93.075405
Jiahua Gu; Kai Sun Adiabatic continuity, wave-function overlap, and topological phase transitions, Physical Review B, Volume 94 (2016) no. 12 | DOI:10.1103/physrevb.94.125111
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Yige Chen; Hae-Young Kee Topological phases in iridium oxide superlattices: Quantized anomalous charge or valley Hall insulators, Physical Review B, Volume 90 (2014) no. 19 | DOI:10.1103/physrevb.90.195145
Eran Sagi; Yuval Oreg Non-Abelian topological insulators from an array of quantum wires, Physical Review B, Volume 90 (2014) no. 20 | DOI:10.1103/physrevb.90.201102
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Cécile Repellin; Titus Neupert; Zlatko Papić; Nicolas Regnault Single-mode approximation for fractional Chern insulators and the fractional quantum Hall effect on the torus, Physical Review B, Volume 90 (2014) no. 4 | DOI:10.1103/physrevb.90.045114
Fenner Harper; Steven H. Simon; Rahul Roy Perturbative approach to flat Chern bands in the Hofstadter model, Physical Review B, Volume 90 (2014) no. 7 | DOI:10.1103/physrevb.90.075104
Guido van Miert; Cristiane Morais Smith; Vladimir Juričić High-Chern-number bands and tunable Dirac cones inβ-graphyne, Physical Review B, Volume 90 (2014) no. 8 | DOI:10.1103/physrevb.90.081406
Joshua D. Bodyfelt; Daniel Leykam; Carlo Danieli; Xiaoquan Yu; Sergej Flach Flatbands under Correlated Perturbations, Physical Review Letters, Volume 113 (2014) no. 23 | DOI:10.1103/physrevlett.113.236403
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Longwen Zhou; Hailong Wang; Derek Y.H. Ho; Jiangbin Gong Aspects of Floquet bands and topological phase transitions in a continuously driven superlattice, The European Physical Journal B, Volume 87 (2014) no. 9 | DOI:10.1140/epjb/e2014-50465-9
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