Novel magnetic order in the pseudogap state of high-$ {T}_{c}$ copper oxides superconductors

Philippe Bourges; Yvan Sidis

doi:10.1016/j.crhy.2011.04.006

Novel magnetic order in the pseudogap state of high-

T_{c}

copper oxides superconductors
[Ordre magnétique de lʼétat pseudogap des oxydes de cuivre supraconducteurs à haute température critique]

Philippe Bourges ¹ ; Yvan Sidis ¹

¹ Laboratoire Léon-Brillouin-Orphée, CEA-Saclay, 91191 Gif-sur-Yvette, France

Comptes Rendus. Physique, Superconductivity of strongly correlated systems, Volume 12 (2011) no. 5-6, pp. 461-479.

Résumé
Abstract

Un des problèmes majeurs des oxydes de cuivre supraconducteurs à haute température critique est lʼorigine de la phase pseudogap dans lʼétat sous-dopé. En utilisant des mesures de diffraction de neutrons polarisés, nous avons identifié un ordre magnétique caché qui apparaît à la température attendue de cet état de pseudogap. Cet ordre magnétique respecte la symétrie de translation du réseau comme cela a été prédit dans la théorie des boucles de courants circulants. Nous avons généralisé cette découverte dans trois familles distinctes de cuprates. Cette mesure est la première preuve expérimentale directe dʼun paramètre dʼordre universel de lʼétat de pseudogap des oxydes de cuivre supraconducteurs.

One of the leading issues in high- $T_{c}$ copper oxide superconductors is the origin of the pseudogap phase in the underdoped regime of their phase diagram. Using polarized neutron diffraction, a novel magnetic order has been identified as an hidden order parameter of the pseudogap as the transition temperature corresponds to what is expected for the pseudogap. The observed magnetic order preserves translational symmetry as predicted for orbital moments in the circulating current theory. Being now reported in three different cuprates families, it appears as a universal phenomenon whatever the crystal structure (with single CuO₂ layer or bilayer per unit cell). To date, it is the first direct evidence of a hidden order parameter characterizing the pseudogap phase of high- $T_{c}$ cuprates.

Publié le : 2011-05-25

DOI : 10.1016/j.crhy.2011.04.006

Keywords: Neutron diffraction, High-

T_{c}

superconductors, Pseudogap phase
Mots-clés : Diffraction de neutron, Supraconducteurs à haute température critique, Phase de pseudogap

Affiliations des auteurs :

Philippe Bourges ¹ ; Yvan Sidis ¹

¹ Laboratoire Léon-Brillouin-Orphée, CEA-Saclay, 91191 Gif-sur-Yvette, France

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Philippe Bourges; Yvan Sidis. Novel magnetic order in the pseudogap state of high-$ {T}_{c}$ copper oxides superconductors. Comptes Rendus. Physique, Superconductivity of strongly correlated systems, Volume 12 (2011) no. 5-6, pp. 461-479. doi : 10.1016/j.crhy.2011.04.006. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2011.04.006/

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X. Montiel; T. Kloss; C. Pépin Effective SU(2) theory for the pseudogap state, Physical Review B, Volume 95 (2017) no. 10 | DOI:10.1103/physrevb.95.104510
T. P. Croft; E. Blackburn; J. Kulda; Ruixing Liang; D. A. Bonn; W. N. Hardy; S. M. Hayden No evidence for orbital loop currents in charge-ordered YBa2Cu3O6+x from polarized neutron diffraction, Physical Review B, Volume 96 (2017) no. 21 | DOI:10.1103/physrevb.96.214504
Chandra M. Varma Dynamic structure function of some singular Fermi liquids, Physical Review B, Volume 96 (2017) no. 7 | DOI:10.1103/physrevb.96.075122
Lucile Mangin-Thro; Yuan Li; Yvan Sidis; Philippe Bourges a−b Anisotropy of the Intra-Unit-Cell Magnetic Order in YBa2Cu3O6.6, Physical Review Letters, Volume 118 (2017) no. 9 | DOI:10.1103/physrevlett.118.097003
X. Montiel; T. Kloss; C. Pépin Local particle-hole pair excitations by SU(2) symmetry fluctuations, Scientific Reports, Volume 7 (2017) no. 1 | DOI:10.1038/s41598-017-01538-1
A. S. Moskvin Local Intra-Unit-Cell Order Parameters in Cuprates Beyond Zhang-Rice Model, Journal of Superconductivity and Novel Magnetism, Volume 29 (2016) no. 4, p. 1057 | DOI:10.1007/s10948-016-3376-7
S. W. Lovesey Electronic and magnetic properties of orthorhombic iron selenide, Physical Review B, Volume 93 (2016) no. 8 | DOI:10.1103/physrevb.93.085126
Lijun Zhu; Changtao Hou; Chandra M. Varma Quantum criticality in the two-dimensional dissipative quantum XY model, Physical Review B, Volume 94 (2016) no. 23 | DOI:10.1103/physrevb.94.235156
S. W. Lovesey Zeeman spectrum, magnetic neutron diffraction pattern, and Dirac multipoles for a multiferroic materialCuB2O4, Physical Review B, Volume 94 (2016) no. 9 | DOI:10.1103/physrevb.94.094422
Chandra M Varma Quantum-critical fluctuations in 2D metals: strange metals and superconductivity in antiferromagnets and in cuprates, Reports on Progress in Physics, Volume 79 (2016) no. 8, p. 082501 | DOI:10.1088/0034-4885/79/8/082501
T Kloss; X Montiel; V S de Carvalho; H Freire; C Pépin Charge orders, magnetism and pairings in the cuprate superconductors, Reports on Progress in Physics, Volume 79 (2016) no. 8, p. 084507 | DOI:10.1088/0034-4885/79/8/084507
Jin Mo Bok; Jong Ju Bae; Han-Yong Choi; Chandra M. Varma; Wentao Zhang; Junfeng He; Yuxiao Zhang; Li Yu; X. J. Zhou Quantitative determination of pairing interactions for high-temperature superconductivity in cuprates, Science Advances, Volume 2 (2016) no. 3 | DOI:10.1126/sciadv.1501329
B. Purusottam-Reddy; K. Sivajee-Ganesh; K. Jayanth-Babu; O. M. Hussain; C. M. Julien Microstructure and supercapacitive properties of rf-sputtered copper oxide thin films: influence of O2/Ar ratio, Ionics, Volume 21 (2015) no. 8, p. 2319 | DOI:10.1007/s11581-015-1403-5
Alfredo A. Vargas-Paredes; Marco Cariglia; Mauro M. Doria Is the pseudogap a topological state?, Journal of Magnetism and Magnetic Materials, Volume 376 (2015), p. 40 | DOI:10.1016/j.jmmm.2014.09.042
S W Lovesey; E Balcar A model of magneto-electric multipoles, Journal of Physics: Condensed Matter, Volume 27 (2015) no. 10, p. 106001 | DOI:10.1088/0953-8984/27/10/106001
S W Lovesey; D D Khalyavin; U Staub Ferro-type order of magneto-electric quadrupoles as an order-parameter for the pseudo-gap phase of a cuprate superconductor, Journal of Physics: Condensed Matter, Volume 27 (2015) no. 29, p. 292201 | DOI:10.1088/0953-8984/27/29/292201
S W Lovesey; D D Khalyavin Ordered state of magnetic charge in the pseudo-gap phase of a cuprate superconductor (HgBa2CuO4+δ), Journal of Physics: Condensed Matter, Volume 27 (2015) no. 49, p. 495601 | DOI:10.1088/0953-8984/27/49/495601
L. Mangin-Thro; Y. Sidis; A. Wildes; P. Bourges Intra-unit-cell magnetic correlations near optimal doping in YBa2Cu3O6.85, Nature Communications, Volume 6 (2015) no. 1 | DOI:10.1038/ncomms8705
S W Lovesey Theory of neutron scattering by electrons in magnetic materials, Physica Scripta, Volume 90 (2015) no. 10, p. 108011 | DOI:10.1088/0031-8949/90/10/108011
Lijun Zhu; Yan Chen; Chandra M. Varma Local quantum criticality in the two-dimensional dissipative quantum XY model, Physical Review B, Volume 91 (2015) no. 20 | DOI:10.1103/physrevb.91.205129
C. M. Varma Quantum Criticality in Quasi-Two-Dimensional Itinerant Antiferromagnets, Physical Review Letters, Volume 115 (2015) no. 18 | DOI:10.1103/physrevlett.115.186405
Chandra M. Varma; Lijun Zhu Specific heat and sound velocity at the relevant competing phase of high-temperature superconductors, Proceedings of the National Academy of Sciences, Volume 112 (2015) no. 20, p. 6331 | DOI:10.1073/pnas.1417150112
Igor A. Zaliznyak; John M. Tranquada Neutron Scattering and Its Application to Strongly Correlated Systems, Strongly Correlated Systems, Volume 180 (2015), p. 205 | DOI:10.1007/978-3-662-44133-6_7
John M. Tranquada; Guangyong Xu; Igor A. Zaliznyak Superconductivity, antiferromagnetism, and neutron scattering, Journal of Magnetism and Magnetic Materials, Volume 350 (2014), p. 148 | DOI:10.1016/j.jmmm.2013.09.029
Yan He; Changtao Hou Quantum spin Hall effect in a three-orbital tight-binding Hamiltonian, Journal of Physics: Condensed Matter, Volume 26 (2014) no. 29, p. 295601 | DOI:10.1088/0953-8984/26/29/295601
C M Varma Pseudogap in cuprates in the loop-current ordered state, Journal of Physics: Condensed Matter, Volume 26 (2014) no. 50, p. 505701 | DOI:10.1088/0953-8984/26/50/505701
Changtao Hou; D. E. MacLaughlin; C. M. Varma Zeeman modulated spin echo in orthorhombic symmetry, Physical Review B, Volume 89 (2014) no. 23 | DOI:10.1103/physrevb.89.235108
R. B. Laughlin Hartree-Fock computation of the high-Tccuprate phase diagram, Physical Review B, Volume 89 (2014) no. 3 | DOI:10.1103/physrevb.89.035134
Yan He; P. A. Lee; C. M. Varma Intrinsic anomalous Hall effect in magnetochiral states, Physical Review B, Volume 89 (2014) no. 3 | DOI:10.1103/physrevb.89.035119
L. Mangin-Thro; Y. Sidis; P. Bourges; S. De Almeida-Didry; F. Giovannelli; I. Laffez-Monot Characterization of the intra-unit-cell magnetic order in Bi2Sr2CaCu2O8+δ, Physical Review B, Volume 89 (2014) no. 9 | DOI:10.1103/physrevb.89.094523
C. Pépin; V. S. de Carvalho; T. Kloss; X. Montiel Pseudogap, charge order, and pairing density wave at the hot spots in cuprate superconductors, Physical Review B, Volume 90 (2014) no. 19 | DOI:10.1103/physrevb.90.195207
Y. F. Kung; C.-C. Chen; B. Moritz; S. Johnston; R. Thomale; T. P. Devereaux Numerical exploration of spontaneous broken symmetries in multiorbital Hubbard models, Physical Review B, Volume 90 (2014) no. 22 | DOI:10.1103/physrevb.90.224507
R. B. Laughlin Fermi-Liquid Computation of the Phase Diagram of High-TcCuprate Superconductors with an Orbital Antiferromagnetic Pseudogap, Physical Review Letters, Volume 112 (2014) no. 1 | DOI:10.1103/physrevlett.112.017004
Patrick A. Lee Amperean Pairing and the Pseudogap Phase of Cuprate Superconductors, Physical Review X, Volume 4 (2014) no. 3 | DOI:10.1103/physrevx.4.031017
Yvan Sidis; V. Simonet; B. Canals; J. Robert; S. Petit; H. Mutka Magnétisme de bande et Supraconductivité : l'apport de la diffusion inélastique des neutrons, École thématique de la Société Française de la Neutronique, Volume 13 (2014), p. 04003 | DOI:10.1051/sfn/20141304003
Y Sidis; P Bourges Evidence for Intra-Unit-Cell magnetic order in the pseudo-gap state of high-Tccuprates, Journal of Physics: Conference Series, Volume 449 (2013), p. 012012 | DOI:10.1088/1742-6596/449/1/012012
Alexander M. Gabovich; Mai Suan Li; Henryk Szymczak; Alexander I. Voitenko Orientation peculiarities of dc Josephson tunneling betweend-wave superconductors with charge density waves, Physical Review B, Volume 87 (2013) no. 10 | DOI:10.1103/physrevb.87.104503
J. W. Alldredge; K. Fujita; H. Eisaki; S. Uchida; Kyle McElroy Universal disorder in Bi2Sr2CaCu2O8+x, Physical Review B, Volume 87 (2013) no. 10 | DOI:10.1103/physrevb.87.104520
Vivek Aji; Yan He; C. M. Varma Magnetochiral Kerr effect with application to the cuprates, Physical Review B, Volume 87 (2013) no. 17 | DOI:10.1103/physrevb.87.174518
M. R. Norman X-ray natural dichroism and chiral order in underdoped cuprates, Physical Review B, Volume 87 (2013) no. 18 | DOI:10.1103/physrevb.87.180506
Shinya Nishiyama; K. Miyake; C. M. Varma Superconducting transition temperatures for spin-fluctuation superconductivity: Application to heavy-fermion compounds, Physical Review B, Volume 88 (2013) no. 1 | DOI:10.1103/physrevb.88.014510
Sergey S. Pershoguba; Kostyantyn Kechedzhi; Victor M. Yakovenko Proposed Chiral Texture of the Magnetic Moments of Unit-Cell Loop Currents in the Pseudogap Phase of Cuprate Superconductors, Physical Review Letters, Volume 111 (2013) no. 4 | DOI:10.1103/physrevlett.111.047005
J. C. Séamus Davis; Dung-Hai Lee Concepts relating magnetic interactions, intertwined electronic orders, and strongly correlated superconductivity, Proceedings of the National Academy of Sciences, Volume 110 (2013) no. 44, p. 17623 | DOI:10.1073/pnas.1316512110
A Sacuto; Y Gallais; M Cazayous; M-A Méasson; G D Gu; D Colson New insights into the phase diagram of the copper oxide superconductors from electronic Raman scattering, Reports on Progress in Physics, Volume 76 (2013) no. 2, p. 022502 | DOI:10.1088/0034-4885/76/2/022502
A. S. Moskvin Pseudogap phase in cuprates: Oxygen orbital moments instead of circulating currents, JETP Letters, Volume 96 (2012) no. 6, p. 385 | DOI:10.1134/s0021364012180087
Takami Tohyama Recent Progress in Physics of High-Temperature Superconductors, Japanese Journal of Applied Physics, Volume 51 (2012) no. 1R, p. 010004 | DOI:10.7567/jjap.51.010004
Yan He; Joel Moore; C. M. Varma Berry phase and anomalous Hall effect in a three-orbital tight-binding Hamiltonian, Physical Review B, Volume 85 (2012) no. 15 | DOI:10.1103/physrevb.85.155106
S. De Almeida-Didry; Y. Sidis; V. Balédent; F. Giovannelli; I. Monot-Laffez; P. Bourges Evidence for intra-unit-cell magnetic order in Bi2Sr2CaCu2O8+δ, Physical Review B, Volume 86 (2012) no. 2 | DOI:10.1103/physrevb.86.020504
A. S. Moskvin; A. A. Gippius; A. V. Tkachev; A. V. Mahajan; T. Chakrabarty; I. A. Presniakov; A. V. Sobolev; G. Demazeau Direct evidence of non-Zhang-Rice Cu3+centers in La2Li0.5Cu0.5O4, Physical Review B, Volume 86 (2012) no. 24 | DOI:10.1103/physrevb.86.241107
Yan He; C. M. Varma Theory of polarized neutron scattering in the loop-ordered phase of cuprates, Physical Review B, Volume 86 (2012) no. 3 | DOI:10.1103/physrevb.86.035124
Yuan Li; M. Le Tacon; M. Bakr; D. Terrade; D. Manske; R. Hackl; L. Ji; M. K. Chan; N. Barišić; X. Zhao; M. Greven; B. Keimer Feedback Effect on High-Energy Magnetic Fluctuations in the Model High-Temperature SuperconductorHgBa2CuO4+δObserved by Electronic Raman Scattering, Physical Review Letters, Volume 108 (2012) no. 22 | DOI:10.1103/physrevlett.108.227003
Han-Yong Choi; Chandra M. Varma; Xing-jiang Zhou Superconductivity in the cuprates: Deduction of mechanism for d-wave pairing through analysis of ARPES, Frontiers of Physics, Volume 6 (2011) no. 4, p. 440 | DOI:10.1007/s11467-011-0231-y
F. Rullier-Albenque; H. Alloul; G. Rikken High-field studies of superconducting fluctuations in high-Tccuprates: Evidence for a small gap distinct from the large pseudogap, Physical Review B, Volume 84 (2011) no. 1 | DOI:10.1103/physrevb.84.014522
Yuan Li; V. Balédent; N. Barišić; Y. C. Cho; Y. Sidis; G. Yu; X. Zhao; P. Bourges; M. Greven Magnetic order in the pseudogap phase of HgBa2CuO4+δstudied by spin-polarized neutron diffraction, Physical Review B, Volume 84 (2011) no. 22 | DOI:10.1103/physrevb.84.224508

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