Comptes Rendus
Condensed matter physics in the 21st century: The legacy of Jacques Friedel
Quantum kagome frustrated antiferromagnets: One route to quantum spin liquids
[Frustration dans les composés antiferromagnétiques quantiques sur réseau kagomé : une voie vers les liquides de spin]
Comptes Rendus. Physique, Physique de la matière condensée au XXIe siècle: l’héritage de Jacques Friedel, Volume 17 (2016) no. 3-4, pp. 455-470.

Après avoir introduit la thématique du magnétisme fortement frustré par le biais de la recherche d'un état liquide de spin quantique au-delà de la dimension 1, nous discutons en détail le cas emblématique du réseau kagome. D'un point de vue théorique, le cas le plus simple de l'hamiltonien d'Heisenberg sur une telle géométrie décorée de spins quantiques en interaction antiferromagnétique est un problème ancien, non encore résolu. Les réalisations expérimentales sont restées rares jusqu'à la découverte de l'herbertsmithite ZnCu3(OH)6Cl2 en 2005. C'est l'une des seules réalisations expérimentales d'un liquide de spin quantique sur réseau kagome dont la découverte a engendré une intense activité à la fois théorique et expérimentale. Nous donnons un aperçu des résultats théoriques sur ce problème kagome, passons en revue les propriétés expérimentales de ce composé « modèle » et les discutons dans le cadre des résultats théoriques les plus récents.

After introducing the field of Highly Frustrated Magnetism through the quest for a quantum spin liquid in dimension higher than one, we focus on the emblematic case of the kagome network. From a theoretical point of view, the simple Heisenberg case for an antiferromagnetic kagome lattice decorated with quantum spins has been a long-standing problem, not solved yet. Experimental realizations have remained scarce for long until the discovery of herbertsmithite ZnCu3(OH)6Cl2 in 2005. This is one of the very few quantum kagome spin liquid candidates that triggered a burst of activity both on theory and experiment sides. We give a survey of theory outcomes on the “kagome” problem, review the experimental properties of that model candidate and shortly discuss them with respect to recent theoretical results.

Publié le :
DOI : 10.1016/j.crhy.2015.12.001
Keywords: Quantum antiferromagnetism, Kagome, Spin liquid
Mots-clés : Antiferromagnétisme quantique, Kagome, Liquide de spin

Philippe Mendels 1 ; Fabrice Bert 1

1 Laboratoire de physique des solides, CNRS, Université Paris-Sud, Université Paris-Saclay, 91405 Orsay cedex, France
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Philippe Mendels; Fabrice Bert. Quantum kagome frustrated antiferromagnets: One route to quantum spin liquids. Comptes Rendus. Physique, Physique de la matière condensée au XXIe siècle: l’héritage de Jacques Friedel, Volume 17 (2016) no. 3-4, pp. 455-470. doi : 10.1016/j.crhy.2015.12.001. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2015.12.001/

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  • Tristan Lugan; Ludovic D. C. Jaubert; Masafumi Udagawa; Arnaud Ralko Schwinger boson theory of the J1, J2=J3 kagome antiferromagnet, Physical Review B, Volume 106 (2022) no. 14 | DOI:10.1103/physrevb.106.l140404
  • Victor Porée; Elsa Lhotel; Sylvain Petit; Aleksandra Krajewska; Pascal Puphal; Adam H. Clark; Vladimir Pomjakushin; Helen C. Walker; Nicolas Gauthier; Dariusz J. Gawryluk; Romain Sibille Crystal-field states and defect levels in candidate quantum spin ice Ce2Hf2O7, Physical Review Materials, Volume 6 (2022) no. 4 | DOI:10.1103/physrevmaterials.6.044406
  • Quentin Barthélemy; Albin Demuer; Christophe Marcenat; Thierry Klein; Bernard Bernu; Laura Messio; Matias Velázquez; Edwin Kermarrec; Fabrice Bert; Philippe Mendels Specific Heat of the Kagome Antiferromagnet Herbertsmithite in High Magnetic Fields, Physical Review X, Volume 12 (2022) no. 1 | DOI:10.1103/physrevx.12.011014
  • Lucia Gálisová Insight into Ground-State Spin Arrangement and Bipartite Entanglement of the Polymeric Coordination Compound [Dy2cu2]N Through the Symmetric Spin-1/2 Ising-Heisenberg Orthogonal-Dimer Chain, SSRN Electronic Journal (2022) | DOI:10.2139/ssrn.4066279
  • Navid Qureshi; Bachir Ouladdiaf; Anatoliy Senyshyn; Vincent Caignaert; Martin Björn Valldor Non-collinear magnetic structures in the magnetoelectric Swedenborgite CaBaFe4O7 derived by powder and single-crystal neutron diffraction, SciPost Physics Core, Volume 5 (2022) no. 1 | DOI:10.21468/scipostphyscore.5.1.007
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  • Lucy Clark; Aly H. Abdeldaim Quantum Spin Liquids from a Materials Perspective, Annual Review of Materials Research, Volume 51 (2021) no. 1, p. 495 | DOI:10.1146/annurev-matsci-080819-011453
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  • Riku Yamamoto; Tetsuya Furukawa; Kazuya Miyagawa; Takahiko Sasaki; Kazushi Kanoda; Tetsuaki Itou Emergence of unconventional spin glass-like state in κ - (ET)2Cu[N(CN)2]Cl by introducing weak randomness, Physical Review B, Volume 104 (2021) no. 15 | DOI:10.1103/physrevb.104.155107
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  • Nan Si; Xin Su; Jing Meng; Hai-Ling Miao; Yan-Li Zhang; Wei Jiang Magnetic properties of decorated 2D kagome-like lattice, Physica A: Statistical Mechanics and its Applications, Volume 560 (2020), p. 125222 | DOI:10.1016/j.physa.2020.125222
  • Md. Mahbubur Rahman Bhuiyan; Xu-Guang Zheng; Masato Hagihala; Shuki Torii; Takashi Kamiyama; Tatsuya Kawae Spin order in the classical spin kagome antiferromagnet MgxMn4−x(OH)6Cl2, Physical Review B, Volume 101 (2020) no. 13 | DOI:10.1103/physrevb.101.134424
  • Bernard Bernu; Laurent Pierre; Karim Essafi; Laura Messio Effect of perturbations on the kagome S=12 antiferromagnet at all temperatures, Physical Review B, Volume 101 (2020) no. 14 | DOI:10.1103/physrevb.101.140403
  • Ashiwini Balodhi; Anzar Ali; Yogesh Singh Robustness of the spin liquid state with respect to magnetic dilution in the bilayer kagome material Ca10Cr7O28, Physical Review B, Volume 101 (2020) no. 18 | DOI:10.1103/physrevb.101.184416
  • Pallavi Malavi; Srishti Pal; D. V. S. Muthu; Subodha Sahoo; S. Karmakar; A. K. Sood Pressure-induced tuning of quantum spin liquid state in ZnCu3(OH)6Cl2, Physical Review B, Volume 101 (2020) no. 21 | DOI:10.1103/physrevb.101.214402
  • Thao T. Tran; Chris A. Pocs; Yubo Zhang; Michal J. Winiarski; Jianwei Sun; Minhyea Lee; Tyrel M. McQueen Spinon excitations in the quasi-one-dimensional S=12 chain compound Cs4CuSb2Cl12, Physical Review B, Volume 101 (2020) no. 23 | DOI:10.1103/physrevb.101.235107
  • Virgile Yves Favre; Gregory S. Tucker; Clemens Ritter; Romain Sibille; Pascal Manuel; Matthias D. Frontzek; Markus Kriener; Lin Yang; Helmuth Berger; Arnaud Magrez; Nicola P. M. Casati; Ivica Živković; Henrik M. Rønnow Ferrimagnetic 120∘magnetic structure inCu2OSO4, Physical Review B, Volume 102 (2020) no. 9 | DOI:10.1103/physrevb.102.094422
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  • Kriti Gupta; Arun Dadwal; Pranay Ninawe; Pattayil A. Joy; Nirmalya Ballav Integrating Structurally Perfect S = 1/2 Kagome-Lattice with Reduced Graphene Oxide, The Journal of Physical Chemistry C, Volume 124 (2020) no. 36, p. 19753 | DOI:10.1021/acs.jpcc.0c06564
  • Rebecca W. Smaha; Wei He; Jack Mingde Jiang; Jiajia Wen; Yi-Fan Jiang; John P. Sheckelton; Charles J. Titus; Suyin Grass Wang; Yu-Sheng Chen; Simon J. Teat; Adam A. Aczel; Yang Zhao; Guangyong Xu; Jeffrey W. Lynn; Hong-Chen Jiang; Young S. Lee Materializing rival ground states in the barlowite family of kagome magnets: quantum spin liquid, spin ordered, and valence bond crystal states, npj Quantum Materials, Volume 5 (2020) no. 1 | DOI:10.1038/s41535-020-0222-8
  • Christian Wessler; Bertrand Roessli; Karl W. Krämer; Bernard Delley; Oliver Waldmann; Lukas Keller; Denis Cheptiakov; Hans B. Braun; Michel Kenzelmann Observation of plaquette fluctuations in the spin-1/2 honeycomb lattice, npj Quantum Materials, Volume 5 (2020) no. 1 | DOI:10.1038/s41535-020-00287-1
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  • Aly H. Abdeldaim; Danis I. Badrtdinov; Alexandra S. Gibbs; Pascal Manuel; Helen C. Walker; Manh Duc Le; Chien Hung Wu; Dariusz Wardecki; Sten-Gunnar Eriksson; Yaroslav O. Kvashnin; Alexander A. Tsirlin; Gøran J. Nilsen Large easy-axis anisotropy in the one-dimensional magnet BaMo(PO4)2, Physical Review B, Volume 100 (2019) no. 21 | DOI:10.1103/physrevb.100.214427
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  • Hitesh J. Changlani; Sumiran Pujari; Chia-Min Chung; Bryan K. Clark Resonating quantum three-coloring wave functions for the kagome quantum antiferromagnet, Physical Review B, Volume 99 (2019) no. 10 | DOI:10.1103/physrevb.99.104433
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  • David Z. T. Mulrooney; John E. Clements; Daniel J. Ericsson; Jason R. Price; Irina A. Kühne; Simon J. Coles; Cameron J. Kepert; Tony D. Keene Phase Control of Ferromagnetic Copper(II) Carbonate Coordination Polymers through Reagent Concentration, European Journal of Inorganic Chemistry, Volume 2018 (2018) no. 48, p. 5223 | DOI:10.1002/ejic.201801041
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  • Zili Feng; Yuan Wei; Ran Liu; Dayu Yan; Yan-Cheng Wang; Jianlin Luo; Anatoliy Senyshyn; Clarina dela Cruz; Wei Yi; Jia-Wei Mei; Zi Yang Meng; Youguo Shi; Shiliang Li Effect of Zn doping on the antiferromagnetism in kagomeCu4−xZnx(OH)6FBr, Physical Review B, Volume 98 (2018) no. 15 | DOI:10.1103/physrevb.98.155127
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  • C. M. Pasco; B. A. Trump; Thao T. Tran; Z. A. Kelly; C. Hoffmann; I. Heinmaa; R. Stern; T. M. McQueen Single-crystal growth of Cu4(OH)6BrF and universal behavior in quantum spin liquid candidates synthetic barlowite and herbertsmithite, Physical Review Materials, Volume 2 (2018) no. 4 | DOI:10.1103/physrevmaterials.2.044406
  • Rodrigo Pereira; Samuel Bieri Gapless chiral spin liquid from coupled chains on the kagome lattice, SciPost Physics, Volume 4 (2018) no. 1 | DOI:10.21468/scipostphys.4.1.004
  • Danis I. Badrtdinov; Elena S. Kuznetsova; Valeriy Yu. Verchenko; Peter S. Berdonosov; Valeriy A. Dolgikh; Vladimir V. Mazurenko; Alexander A. Tsirlin Magnetism of coupled spin tetrahedra in ilinskite-type KCu5O2(SeO3)2Cl3, Scientific Reports, Volume 8 (2018) no. 1 | DOI:10.1038/s41598-018-20350-z
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  • A. S. Gibbs; A. Yamamoto; A. N. Yaresko; K. S. Knight; H. Yasuoka; M. Majumder; M. Baenitz; P. J. Saines; J. R. Hester; D. Hashizume; A. Kondo; K. Kindo; H. Takagi S=12quantum critical spin ladders produced by orbital ordering inBa2CuTeO6, Physical Review B, Volume 95 (2017) no. 10 | DOI:10.1103/physrevb.95.104428
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  • Yi-Ping Huang; Michael Hermele Theory of quantum kagome ice and vison zero modes, Physical Review B, Volume 95 (2017) no. 7 | DOI:10.1103/physrevb.95.075130
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  • C. D. Ling; M. C. Allison; S. Schmid; M. Avdeev; J. S. Gardner; C.-W. Wang; D. H. Ryan; M. Zbiri; T. Söhnel Striped magnetic ground state of the kagome lattice in Fe4Si2Sn7O16, Physical Review B, Volume 96 (2017) no. 18 | DOI:10.1103/physrevb.96.180410
  • Yuan-Ming Lu; Gil Young Cho; Ashvin Vishwanath Unification of bosonic and fermionic theories of spin liquids on the kagome lattice, Physical Review B, Volume 96 (2017) no. 20 | DOI:10.1103/physrevb.96.205150
  • Philippe Mendels; Fabrice Bert ChemInform Abstract: Quantum Kagome Frustrated Antiferromagnets: One Route to Quantum Spin Liquids, ChemInform, Volume 47 (2016) no. 32 | DOI:10.1002/chin.201632226
  • Joseph A. M. Paddison; Harapan S. Ong; James O. Hamp; Paromita Mukherjee; Xiaojian Bai; Matthew G. Tucker; Nicholas P. Butch; Claudio Castelnovo; Martin Mourigal; S. E. Dutton Emergent order in the kagome Ising magnet Dy3Mg2Sb3O14, Nature Communications, Volume 7 (2016) no. 1 | DOI:10.1038/ncomms13842
  • Finn Lasse Buessen; Simon Trebst Competing magnetic orders and spin liquids in two- and three-dimensional kagome systems: Pseudofermion functional renormalization group perspective, Physical Review B, Volume 94 (2016) no. 23 | DOI:10.1103/physrevb.94.235138
  • M. R. Norman Colloquium : Herbertsmithite and the search for the quantum spin liquid, Reviews of Modern Physics, Volume 88 (2016) no. 4 | DOI:10.1103/revmodphys.88.041002

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