Quantum spin liquids

Broholm, C.; Cava, R. J.; Kivelson, S. A.; Nocera, D. G.; Norman, M. R.; Senthil, T.

doi:10.1126/science.aay0668

Title: Quantum spin liquids

Journal Article · Thu Jan 16 00:00:00 EST 2020 · Science

DOI:https://doi.org/10.1126/science.aay0668· OSTI ID:1591986

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Institute for Quantum Matter and Department of Physics and Astronomy, The Johns Hopkins University, Baltimore, MD 21218, USA.
Department of Chemistry, Princeton University, Princeton, NJ 08544, USA.
Department of Physics, Stanford University, Stanford, CA 94305, USA.
Department of Chemistry and Chemical Biology, Harvard University, Cambridge, MA 02138, USA.
Materials Science Division, Argonne National Laboratory, Argonne, IL 60439, USA.
Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.

Spin liquids are quantum phases of matter with a variety of unusual features arising from their topological character, including “fractionalization”—elementary excitations that behave as fractions of an electron. Although there is not yet universally accepted experimental evidence that establishes that any single material has a spin liquid ground state, in the past few years a number of materials have been shown to exhibit distinctive properties that are expected of a quantum spin liquid. Here, we review theoretical and experimental progress in this area.

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Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Institute for Quantum Matter (IQM); Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

Grant/Contract Number:: AC02-06CH11357; SC0019331; DMR-1608055; DMR-1608505

OSTI ID:: 1591986

Alternate ID(s):: OSTI ID: 1601429

Journal Information:: Science, Journal Name: Science Vol. 367 Journal Issue: 6475; ISSN 0036-8075

Publisher:: AAASCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 306 works

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References (116)

Breakdown of magnons in a strongly spin-orbital coupled magnet Winter, Stephen M.; Riedl, Kira; Maksimov, Pavel A. Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-01177-0	journal	October 2017
Charge Friedel oscillations in a Mott insulator Mross, David F.; Senthil, T. Physical Review B, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevB.84.041102	journal	July 2011
Dynamics of a Two-Dimensional Quantum Spin Liquid: Signatures of Emergent Majorana Fermions and Fluxes Knolle, J.; Kovrizhin, D. L.; Chalker, J. T. Physical Review Letters, Vol. 112, Issue 20 https://doi.org/10.1103/PhysRevLett.112.207203	journal	May 2014
Spin Ice, Fractionalization, and Topological Order Castelnovo, C.; Moessner, R.; Sondhi, S. L. Annual Review of Condensed Matter Physics, Vol. 3, Issue 1 https://doi.org/10.1146/annurev-conmatphys-020911-125058	journal	March 2012
Some memories of developments in the theory of magnetism (invited) Anderson, P. W. Journal of Applied Physics, Vol. 50, Issue B11 https://doi.org/10.1063/1.326937	journal	January 1979
High T c superconductivity: band electrons vs. neutral fermions Dzyaloshinskii, I. Physica Scripta, Vol. T27 https://doi.org/10.1088/0031-8949/1989/T27/014	journal	January 1989
Microscopic models for fractionalized phases in strongly correlated systems Senthil, T.; Motrunich, O. Physical Review B, Vol. 66, Issue 20 https://doi.org/10.1103/PhysRevB.66.205104	journal	November 2002
Physical realization of a quantum spin liquid based on a complex frustration mechanism Balz, Christian; Lake, Bella; Reuther, Johannes Nature Physics, Vol. 12, Issue 10 https://doi.org/10.1038/nphys3826	journal	July 2016
Fractionalization in an easy-axis Kagome antiferromagnet Balents, L.; Fisher, M. P. A.; Girvin, S. M. Physical Review B, Vol. 65, Issue 22 https://doi.org/10.1103/PhysRevB.65.224412	journal	May 2002
Equivalence of the resonating-valence-bond and fractional quantum Hall states Kalmeyer, V.; Laughlin, R. B. Physical Review Letters, Vol. 59, Issue 18 https://doi.org/10.1103/PhysRevLett.59.2095	journal	November 1987
Resonating Valence Bond Phase in the Triangular Lattice Quantum Dimer Model Moessner, R.; Sondhi, S. L. Physical Review Letters, Vol. 86, Issue 9 https://doi.org/10.1103/PhysRevLett.86.1881	journal	February 2001
Thermal-transport measurements in a quantum spin-liquid state of the frustrated triangular magnet κ-(BEDT-TTF)2Cu2(CN)3 Yamashita, Minoru; Nakata, Norihito; Kasahara, Yuichi Nature Physics, Vol. 5, Issue 1 https://doi.org/10.1038/nphys1134	journal	November 2008
Quantum spin liquid states Zhou, Yi; Kanoda, Kazushi; Ng, Tai-Kai Reviews of Modern Physics, Vol. 89, Issue 2 https://doi.org/10.1103/RevModPhys.89.025003	journal	April 2017
Quetzalcoatlite: A new octahedral-tetrahedral structure from a 2 × 2 × 40 μm ³ crystal at the Advanced Photon Source-GSE-CARS Facility Burns, Peter C.; Pluth, Joseph J.; Smith, Joseph V. American Mineralogist, Vol. 85, Issue 3-4 https://doi.org/10.2138/am-2000-0424	journal	March 2000
Spin folding in the two-dimensional Heisenberg kagomé antiferromagnet Ritchey, I.; Chandra, P.; Coleman, P. Physical Review B, Vol. 47, Issue 22 https://doi.org/10.1103/PhysRevB.47.15342	journal	June 1993
Approximately Quantized Thermal Hall Effect of Chiral Liquids Coupled to Phonons Vinkler-Aviv, Yuval; Rosch, Achim Physical Review X, Vol. 8, Issue 3 https://doi.org/10.1103/PhysRevX.8.031032	journal	August 2018
Thermal Transport in the Kitaev Model Nasu, Joji; Yoshitake, Junki; Motome, Yukitoshi Physical Review Letters, Vol. 119, Issue 12 https://doi.org/10.1103/PhysRevLett.119.127204	journal	September 2017
Gapless spin liquid in the kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions Lee, Chih-Yuan; Normand, B.; Kao, Ying-Jer Physical Review B, Vol. 98, Issue 22 https://doi.org/10.1103/PhysRevB.98.224414	journal	December 2018
Barlowite: A Spin- $1 / 2$ Antiferromagnet with a Geometrically Perfect Kagome Motif Han, Tian-Heng; Singleton, John; Schlueter, John A. Physical Review Letters, Vol. 113, Issue 22 https://doi.org/10.1103/PhysRevLett.113.227203	journal	November 2014
1T-TaS ₂ as a quantum spin liquid Law, K. T.; Lee, Patrick A. Proceedings of the National Academy of Sciences, Vol. 114, Issue 27 https://doi.org/10.1073/pnas.1706769114	journal	June 2017
Quantum phase transition induced by Dzyaloshinskii-Moriya interactions in the kagome antiferromagnet Cépas, O.; Fong, C. M.; Leung, P. W. Physical Review B, Vol. 78, Issue 14 https://doi.org/10.1103/PhysRevB.78.140405	journal	October 2008
$Z_{2}$ gauge theory of electron fractionalization in strongly correlated systems Senthil, T.; Fisher, Matthew P. A. Physical Review B, Vol. 62, Issue 12 https://doi.org/10.1103/PhysRevB.62.7850	journal	September 2000
Nearest-neighbor Kitaev exchange blocked by charge order in electron-doped $α - {RuCl}_{3}$ Koitzsch, A.; Habenicht, C.; Müller, E. Physical Review Materials, Vol. 1, Issue 5 https://doi.org/10.1103/PhysRevMaterials.1.052001	journal	October 2017
Quantum spin liquid signatures in Kitaev-like frustrated magnets Gohlke, Matthias; Wachtel, Gideon; Yamaji, Youhei Physical Review B, Vol. 97, Issue 7 https://doi.org/10.1103/PhysRevB.97.075126	journal	February 2018
Fractionalized Fermi Liquids Senthil, T.; Sachdev, Subir; Vojta, Matthias Physical Review Letters, Vol. 90, Issue 21 https://doi.org/10.1103/PhysRevLett.90.216403	journal	May 2003
Symmetry breaking due to Dzyaloshinsky-Moriya interactions in the kagomé lattice Elhajal, M.; Canals, B.; Lacroix, C. Physical Review B, Vol. 66, Issue 1 https://doi.org/10.1103/PhysRevB.66.014422	journal	July 2002
Valence Bonds in Random Quantum Magnets: Theory and Application to ${YbMgGaO}_{4}$ Kimchi, Itamar; Nahum, Adam; Senthil, T. Physical Review X, Vol. 8, Issue 3 https://doi.org/10.1103/PhysRevX.8.031028	journal	July 2018
Topology of the resonating valence-bond state: Solitons and high- $T_{c}$ superconductivity Kivelson, Steven A.; Rokhsar, Daniel S.; Sethna, James P. Physical Review B, Vol. 35, Issue 16 https://doi.org/10.1103/PhysRevB.35.8865	journal	June 1987
Low-temperature crystal and magnetic structure of $α - {RuCl}_{3}$ Cao, H. B.; Banerjee, A.; Yan, J. -Q. Physical Review B, Vol. 93, Issue 13 https://doi.org/10.1103/PhysRevB.93.134423	journal	April 2016
Detection of spinons via spin transport Chen, Chui-Zhen; Sun, Qing-feng; Wang, Fa Physical Review B, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevB.88.041405	journal	July 2013
Spin liquids in frustrated magnets Balents, Leon Nature, Vol. 464, Issue 7286 https://doi.org/10.1038/nature08917	journal	March 2010
Anyons in an exactly solved model and beyond Kitaev, Alexei Annals of Physics, Vol. 321, Issue 1 https://doi.org/10.1016/j.aop.2005.10.005	journal	January 2006
Natural Quasicrystals Bindi, L.; Steinhardt, P. J.; Yao, N. Science, Vol. 324, Issue 5932 https://doi.org/10.1126/science.1170827	journal	June 2009
Gapped Spin-1/2 Spinon Excitations in a New Kagome Quantum Spin Liquid Compound Cu ₃ Zn(OH) ₆ FBr Feng, Zili; Li, Zheng; Meng, Xin Chinese Physics Letters, Vol. 34, Issue 7 https://doi.org/10.1088/0256-307X/34/7/077502	journal	June 2017
Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials Rau, Jeffrey G.; Lee, Eric Kin-Ho; Kee, Hae-Young Annual Review of Condensed Matter Physics, Vol. 7, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031115-011319	journal	March 2016
Hidden order in a frustrated system: Properties of the Heisenberg Kagomé antiferromagnet Chalker, J. T.; Holdsworth, P. C. W.; Shender, E. F. Physical Review Letters, Vol. 68, Issue 6 https://doi.org/10.1103/PhysRevLett.68.855	journal	February 1992
Disorder-Induced Mimicry of a Spin Liquid in ${YbMgGaO}_{4}$ Zhu, Zhenyue; Maksimov, P. A.; White, Steven R. Physical Review Letters, Vol. 119, Issue 15 https://doi.org/10.1103/PhysRevLett.119.157201	journal	October 2017
Chiral spin states and superconductivity Wen, X. G.; Wilczek, Frank; Zee, A. Physical Review B, Vol. 39, Issue 16 https://doi.org/10.1103/PhysRevB.39.11413	journal	June 1989
Short-ranged resonating valence bond physics, quantum dimer models, and Ising gauge theories Moessner, R.; Sondhi, S. L.; Fradkin, Eduardo Physical Review B, Vol. 65, Issue 2 https://doi.org/10.1103/PhysRevB.65.024504	journal	December 2001
Spin-Orbital Short-Range Order on a Honeycomb-Based Lattice Nakatsuji, S.; Kuga, K.; Kimura, K. Science, Vol. 336, Issue 6081 https://doi.org/10.1126/science.1212154	journal	May 2012
Topological excitations and the dynamic structure factor of spin liquids on the kagome lattice Punk, Matthias; Chowdhury, Debanjan; Sachdev, Subir Nature Physics, Vol. 10, Issue 4 https://doi.org/10.1038/nphys2887	journal	March 2014
Mean-field theory of spin-liquid states with finite energy gap and topological orders Wen, X. G. Physical Review B, Vol. 44, Issue 6 https://doi.org/10.1103/PhysRevB.44.2664	journal	August 1991
Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors Powell, B. J.; McKenzie, Ross H. Reports on Progress in Physics, Vol. 74, Issue 5 https://doi.org/10.1088/0034-4885/74/5/056501	journal	April 2011
Highly Mobile Gapless Excitations in a Two-Dimensional Candidate Quantum Spin Liquid Yamashita, M.; Nakata, N.; Senshu, Y. Science, Vol. 328, Issue 5983 https://doi.org/10.1126/science.1188200	journal	June 2010
Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4 Paddison, Joseph A. M.; Daum, Marcus; Dun, Zhiling Nature Physics, Vol. 13, Issue 2 https://doi.org/10.1038/nphys3971	journal	December 2016
Random Antiferromagnetic Chain Ma, Shang-keng; Dasgupta, Chandan; Hu, Chin-kun Physical Review Letters, Vol. 43, Issue 19 https://doi.org/10.1103/PhysRevLett.43.1434	journal	November 1979
$Z_{2}$ gauge theory for valence bond solids on the kagome lattice Hwang, Kyusung; Huh, Yejin; Kim, Yong Baek Physical Review B, Vol. 92, Issue 20 https://doi.org/10.1103/PhysRevB.92.205131	journal	November 2015
Phenomenology of the normal state of Cu-O high-temperature superconductors Varma, C. M.; Littlewood, P. B.; Schmitt-Rink, S. Physical Review Letters, Vol. 63, Issue 18 https://doi.org/10.1103/PhysRevLett.63.1996	journal	October 1989
A Field Guide to Spin Liquids Knolle, J.; Moessner, R. Annual Review of Condensed Matter Physics, Vol. 10, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031218-013401	journal	March 2019
Non-Kitaev spin liquids in Kitaev materials Li, Yao-Dong; Yang, Xu; Zhou, Yi Physical Review B, Vol. 99, Issue 20 https://doi.org/10.1103/PhysRevB.99.205119	journal	May 2019
Superconductivity and the Quantum Hard-Core Dimer Gas Rokhsar, Daniel S.; Kivelson, Steven A. Physical Review Letters, Vol. 61, Issue 20 https://doi.org/10.1103/PhysRevLett.61.2376	journal	November 1988
A Structurally Perfect S = ¹ / ₂ Kagomé Antiferromagnet Shores, Matthew P.; Nytko, Emily A.; Bartlett, Bart M. Journal of the American Chemical Society, Vol. 127, Issue 39 https://doi.org/10.1021/ja053891p	journal	October 2005
Fractionalized excitations in the spin-liquid state of a kagome-lattice antiferromagnet Han, Tian-Heng; Helton, Joel S.; Chu, Shaoyan Nature, Vol. 492, Issue 7429 https://doi.org/10.1038/nature11659	journal	December 2012
Ultralow-temperature heat transport in the quantum spin liquid candidate Ca 10 Cr 7 O 28 with a bilayer kagome lattice Ni, J. M.; Liu, Q. Y.; Yu, Y. J. Physical Review B, Vol. 97, Issue 10 https://doi.org/10.1103/PhysRevB.97.104413	journal	March 2018
Spin-liquid phase of the multiple-spin exchange Hamiltonian on the triangular lattice Misguich, G.; Lhuillier, C.; Bernu, B. Physical Review B, Vol. 60, Issue 2 https://doi.org/10.1103/PhysRevB.60.1064	journal	July 1999
Doping a Mott insulator: Physics of high-temperature superconductivity Lee, Patrick A.; Nagaosa, Naoto; Wen, Xiao-Gang Reviews of Modern Physics, Vol. 78, Issue 1 https://doi.org/10.1103/RevModPhys.78.17	journal	January 2006
Site Specific X-ray Anomalous Dispersion of the Geometrically Frustrated Kagomé Magnet, Herbertsmithite, ZnCu ₃ (OH) ₆ Cl ₂ Freedman, Danna E.; Han, Tianheng H.; Prodi, Andrea Journal of the American Chemical Society, Vol. 132, Issue 45 https://doi.org/10.1021/ja1070398	journal	November 2010
Tuning of a Kagome Magnet: Insulating Ground State in Ga‐Substituted Cu 4 (OH) 6 Cl 2 Puphal, Pascal; Ranjith, Kizhake Malayil; Pustogow, Andrej physica status solidi (b), Vol. 256, Issue 9 https://doi.org/10.1002/pssb.201800663	journal	February 2019
Signatures of Dirac Cones in a DMRG Study of the Kagome Heisenberg Model He, Yin-Chen; Zaletel, Michael P.; Oshikawa, Masaki Physical Review X, Vol. 7, Issue 3 https://doi.org/10.1103/PhysRevX.7.031020	journal	July 2017
Colloquium : Zoo of quantum-topological phases of matter Wen, Xiao-Gang Reviews of Modern Physics, Vol. 89, Issue 4 https://doi.org/10.1103/RevModPhys.89.041004	journal	December 2017
Exotic Order in Simple Models of Bosonic Systems Motrunich, O. I.; Senthil, T. Physical Review Letters, Vol. 89, Issue 27 https://doi.org/10.1103/PhysRevLett.89.277004	journal	December 2002
Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models Jackeli, G.; Khaliullin, G. Physical Review Letters, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevLett.102.017205	journal	January 2009
Direct evidence for dominant bond-directional interactions in a honeycomb lattice iridate Na2IrO3 Hwan Chun, Sae; Kim, Jong-Woo; Kim, Jungho Nature Physics, Vol. 11, Issue 6 https://doi.org/10.1038/nphys3322	journal	May 2015
Rigorous results on valence-bond ground states in antiferromagnets Affleck, Ian; Kennedy, Tom; Lieb, Elliott H. Physical Review Letters, Vol. 59, Issue 7 https://doi.org/10.1103/PhysRevLett.59.799	journal	August 1987
Stability of $U (1)$ spin liquids in two dimensions Hermele, Michael; Senthil, T.; Fisher, Matthew P. A. Physical Review B, Vol. 70, Issue 21 https://doi.org/10.1103/PhysRevB.70.214437	journal	December 2004
Thermodynamic properties of a spin-1/2 spin-liquid state in a κ-type organic salt Yamashita, Satoshi; Nakazawa, Yasuhiro; Oguni, Masaharu Nature Physics, Vol. 4, Issue 6 https://doi.org/10.1038/nphys942	journal	April 2008
Quantum spin liquids: a review Savary, Lucile; Balents, Leon Reports on Progress in Physics, Vol. 80, Issue 1 https://doi.org/10.1088/0034-4885/80/1/016502	journal	November 2016
Evidence for a spinon Fermi surface in a triangular-lattice quantum-spin-liquid candidate Shen, Yao; Li, Yao-Dong; Wo, Hongliang Nature, Vol. 540, Issue 7634 https://doi.org/10.1038/nature20614	journal	December 2016
Weak-field induced nonmagnetic state in a Co-based honeycomb Zhong, Ruidan; Gao, Tong; Ong, Nai Phuan Science Advances, Vol. 6, Issue 4 https://doi.org/10.1126/sciadv.aay6953	journal	January 2020
Correlated impurities and intrinsic spin-liquid physics in the kagome material herbertsmithite Han, Tian-Heng; Norman, M. R.; Wen, J. -J. Physical Review B, Vol. 94, Issue 6 https://doi.org/10.1103/PhysRevB.94.060409	journal	August 2016
Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet Yan, S.; Huse, D. A.; White, S. R. Science, Vol. 332, Issue 6034 https://doi.org/10.1126/science.1201080	journal	April 2011
Absence of Magnetic Thermal Conductivity in the Quantum Spin Liquid Candidate EtMe 3 Sb [ Pd ( dmit ) 2 ] 2 Ni, J. M.; Pan, B. L.; Song, B. Q. Physical Review Letters, Vol. 123, Issue 24 https://doi.org/10.1103/PhysRevLett.123.247204	journal	December 2019
Hydrothermal growth of single crystals of the quantum magnets: Clinoatacamite, paratacamite, and herbertsmithite Chu, Shaoyan; Müller, Peter; Nocera, Daniel G. Applied Physics Letters, Vol. 98, Issue 9 https://doi.org/10.1063/1.3562010	journal	February 2011
Field-tunable quantum disordered ground state in the triangular-lattice antiferromagnet NaYbO2 Bordelon, Mitchell M.; Kenney, Eric; Liu, Chunxiao Nature Physics, Vol. 15, Issue 10 https://doi.org/10.1038/s41567-019-0594-5	journal	July 2019
Electron Doping of Proposed Kagome Quantum Spin Liquid Produces Localized States in the Band Gap Liu, Qihang; Yao, Qiushi; Kelly, Z. A. Physical Review Letters, Vol. 121, Issue 18 https://doi.org/10.1103/PhysRevLett.121.186402	journal	October 2018
Quantum Spin-Liquid Behavior in the Spin-1/2 Random Heisenberg Antiferromagnet on the Triangular Lattice Watanabe, Ken; Kawamura, Hikaru; Nakano, Hiroki Journal of the Physical Society of Japan, Vol. 83, Issue 3 https://doi.org/10.7566/JPSJ.83.034714	journal	March 2014
Magnetic structure and spin waves in the Kagomé jarosite compound $K {Fe}_{3} {(S O_{4})}_{2} {(O H)}_{6}$ Yildirim, T.; Harris, A. B. Physical Review B, Vol. 73, Issue 21 https://doi.org/10.1103/PhysRevB.73.214446	journal	June 2006
Static and dynamical spin correlations of the $S = \frac{1}{2}$ random-bond antiferromagnetic Heisenberg model on the triangular and kagome lattices Shimokawa, Tokuro; Watanabe, Ken; Kawamura, Hikaru Physical Review B, Vol. 92, Issue 13 https://doi.org/10.1103/PhysRevB.92.134407	journal	October 2015
A spin–orbital-entangled quantum liquid on a honeycomb lattice Kitagawa, K.; Takayama, T.; Matsumoto, Y. Nature, Vol. 554, Issue 7692 https://doi.org/10.1038/nature25482	journal	February 2018
Quantum Mechanics of Fractional-Spin Particles Wilczek, Frank Physical Review Letters, Vol. 49, Issue 14 https://doi.org/10.1103/PhysRevLett.49.957	journal	October 1982
Bogoliubov quasiparticles, spinons, and spin-charge decoupling in superconductors Kivelson, S. A.; Rokhsar, D. S. Physical Review B, Vol. 41, Issue 16 https://doi.org/10.1103/PhysRevB.41.11693	journal	June 1990
Colloquium : Herbertsmithite and the search for the quantum spin liquid Norman, M. R. Reviews of Modern Physics, Vol. 88, Issue 4 https://doi.org/10.1103/RevModPhys.88.041002	journal	December 2016
Evidence for a gapped spin-liquid ground state in a kagome Heisenberg antiferromagnet Fu, M.; Imai, T.; Han, T. -H. Science, Vol. 350, Issue 6261 https://doi.org/10.1126/science.aab2120	journal	November 2015
Kagome´- and triangular-lattice Heisenberg antiferromagnets: Ordering from quantum fluctuations and quantum-disordered ground states with unconfined bosonic spinons Sachdev, Subir Physical Review B, Vol. 45, Issue 21 https://doi.org/10.1103/PhysRevB.45.12377	journal	June 1992
Fractionalization, topological order, and cuprate superconductivity Senthil, T.; Fisher, Matthew P. A. Physical Review B, Vol. 63, Issue 13 https://doi.org/10.1103/PhysRevB.63.134521	journal	March 2001
Holon Wigner Crystal in a Lightly Doped Kagome Quantum Spin Liquid Jiang, Hong-Chen; Devereaux, T.; Kivelson, S. A. Physical Review Letters, Vol. 119, Issue 6 https://doi.org/10.1103/PhysRevLett.119.067002	journal	August 2017
Coherent transmutation of electrons into fractionalized anyons Barkeshli, M.; Berg, E.; Kivelson, S. Science, Vol. 346, Issue 6210 https://doi.org/10.1126/science.1253251	journal	November 2014
S = 1 2 kagome Heisenberg antiferromagnet revisited Läuchli, Andreas M.; Sudan, Julien; Moessner, Roderich Physical Review B, Vol. 100, Issue 15 https://doi.org/10.1103/PhysRevB.100.155142	journal	October 2019
Statistics of holons in the quantum hard-core dimer gas Kivelson, Steven Physical Review B, Vol. 39, Issue 1 https://doi.org/10.1103/PhysRevB.39.259	journal	January 1989
Spin-Liquid State in the $S = 1 / 2$ Hyperkagome Antiferromagnet ${Na}_{4} {Ir}_{3} O_{8}$ Okamoto, Yoshihiko; Nohara, Minoru; Aruga-Katori, Hiroko Physical Review Letters, Vol. 99, Issue 13 https://doi.org/10.1103/PhysRevLett.99.137207	journal	September 2007
Chemical disorder and spin-liquid-like magnetism in the van der Waals layered $5 d$ transition metal halide ${Os}_{0.55} {Cl}_{2}$ McGuire, Michael A.; Zheng, Qiang; Yan, Jiaqiang Physical Review B, Vol. 99, Issue 21 https://doi.org/10.1103/PhysRevB.99.214402	journal	June 2019
Single-crystal growth of $C u_{4} {(OH)}_{6} BrF$ and universal behavior in quantum spin liquid candidates synthetic barlowite and herbertsmithite Pasco, C. M.; Trump, B. A.; Tran, Thao T. Physical Review Materials, Vol. 2, Issue 4 https://doi.org/10.1103/PhysRevMaterials.2.044406	journal	April 2018
Quantization of the Thermal Hall Conductivity at Small Hall Angles Ye, Mengxing; Halász, Gábor B.; Savary, Lucile Physical Review Letters, Vol. 121, Issue 14 https://doi.org/10.1103/PhysRevLett.121.147201	journal	October 2018
Mermin-Wagner physics, $(H, T)$ phase diagram, and candidate quantum spin-liquid phase in the spin- $\frac{1}{2}$ triangular-lattice antiferromagnet ${Ba}_{8} {CoNb}_{6} O_{24}$ Cui, Y.; Dai, J.; Zhou, P. Physical Review Materials, Vol. 2, Issue 4 https://doi.org/10.1103/PhysRevMaterials.2.044403	journal	April 2018
Orbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application to $κ − {(ET)}_{2} {Cu}_{2} {(C N)}_{3}$ Motrunich, Olexei I. Physical Review B, Vol. 73, Issue 15 https://doi.org/10.1103/PhysRevB.73.155115	journal	April 2006
Evidence for a quantum dipole liquid state in an organic quasi–two-dimensional material Hassan, Nora; Cunningham, Streit; Mourigal, Martin Science, Vol. 360, Issue 6393 https://doi.org/10.1126/science.aan6286	journal	June 2018
Averievite: A copper oxide kagome antiferromagnet Botana, A. S.; Zheng, H.; Lapidus, S. H. Physical Review B, Vol. 98, Issue 5 https://doi.org/10.1103/PhysRevB.98.054421	journal	August 2018
Spin Disorder on a Triangular Lattice Nakatsuji, S. Science, Vol. 309, Issue 5741 https://doi.org/10.1126/science.1114727	journal	September 2005
Zur Theorie des Ferromagnetismus Heisenberg, W. Zeitschrift f�r Physik, Vol. 49, Issue 9-10 https://doi.org/10.1007/BF01328601	journal	September 1928
Fermionic response from fractionalization in an insulating two-dimensional magnet Nasu, J.; Knolle, J.; Kovrizhin, D. L. Nature Physics, Vol. 12, Issue 10 https://doi.org/10.1038/nphys3809	journal	July 2016
Simple Variational Wave Functions for Two-Dimensional Heisenberg Spin-½ Antiferromagnets Huse, David A.; Elser, Veit Physical Review Letters, Vol. 60, Issue 24 https://doi.org/10.1103/PhysRevLett.60.2531	journal	June 1988
Pyrochlore photons: The $U (1)$ spin liquid in a $S = \frac{1}{2}$ three-dimensional frustrated magnet Hermele, Michael; Fisher, Matthew P. A.; Balents, Leon Physical Review B, Vol. 69, Issue 6 https://doi.org/10.1103/PhysRevB.69.064404	journal	February 2004
Critical spin liquid versus valence-bond glass in a triangular-lattice organic antiferromagnet Riedl, Kira; Valentí, Roser; Winter, Stephen M. Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-10604-3	journal	June 2019
Probing excitations in insulators via injection of spin currents Chatterjee, Shubhayu; Sachdev, Subir Physical Review B, Vol. 92, Issue 16 https://doi.org/10.1103/PhysRevB.92.165113	journal	October 2015
Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid Kasahara, Y.; Ohnishi, T.; Mizukami, Y. Nature, Vol. 559, Issue 7713 https://doi.org/10.1038/s41586-018-0274-0	journal	July 2018
Novel Pauli-paramagnetic quantum phase in a Mott insulator Watanabe, D.; Yamashita, M.; Tonegawa, S. Nature Communications, Vol. 3, Issue 1 https://doi.org/10.1038/ncomms2082	journal	January 2012
Order versus disorder in the quantum Heisenberg antiferromagnet on the *kagomé* lattice using exact spectra analysis Lecheminant, P.; Bernu, B.; Lhuillier, C. Physical Review B, Vol. 56, Issue 5 https://doi.org/10.1103/PhysRevB.56.2521	journal	August 1997
Non-Abelian anyons and topological quantum computation Nayak, Chetan; Simon, Steven H.; Stern, Ady Reviews of Modern Physics, Vol. 80, Issue 3 https://doi.org/10.1103/RevModPhys.80.1083	journal	September 2008
Fault-tolerant quantum computation by anyons Kitaev, A. Yu. Annals of Physics, Vol. 303, Issue 1 https://doi.org/10.1016/S0003-4916(02)00018-0	journal	January 2003
Trimer-based spin liquid candidate B a 4 NbI r 3 O 12 Nguyen, Loi T.; Cava, R. J. Physical Review Materials, Vol. 3, Issue 1 https://doi.org/10.1103/PhysRevMaterials.3.014412	journal	January 2019
Electron Doping a Kagome Spin Liquid Kelly, Z. A.; Gallagher, M. J.; McQueen, T. M. Physical Review X, Vol. 6, Issue 4 https://doi.org/10.1103/PhysRevX.6.041007	journal	October 2016
A limit on spin–charge separation in high-Tc superconductors from the absence of a vortex-memory effect Bonn, D. A.; Wynn, Janice C.; Gardner, Brian W. Nature, Vol. 414, Issue 6866 https://doi.org/10.1038/414887a	journal	December 2001
Fractionalization in the Cuprates: Detecting the Topological Order Senthil, T.; Fisher, Matthew P. A. Physical Review Letters, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevLett.86.292	journal	January 2001
Frustrated Quantum Rare-Earth Pyrochlores Rau, Jeffrey G.; Gingras, Michel J. P. Annual Review of Condensed Matter Physics, Vol. 10, Issue 1 https://doi.org/10.1146/annurev-conmatphys-022317-110520	journal	March 2019
Frustrated Magnetism in Mott Insulating $(V_{1 - x} {Cr}_{x})_{2} O_{3}$ Leiner, J. C.; Jeschke, H. O.; Valentí, R. Physical Review X, Vol. 9, Issue 1 https://doi.org/10.1103/PhysRevX.9.011035	journal	February 2019
Crystalline Electric-Field Randomness in the Triangular Lattice Spin-Liquid ${YbMgGaO}_{4}$ Li, Yuesheng; Adroja, Devashibhai; Bewley, Robert I. Physical Review Letters, Vol. 118, Issue 10 https://doi.org/10.1103/PhysRevLett.118.107202	journal	March 2017

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