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Quantum spin liquids have fascinated condensed matter physicists for decades because of their unusual properties such as spin fractionalization and long-range entanglement.
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Elliott H. Lieb · 1994
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A P Ramirez · 1994
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Measurement of the spin-excitation continuum in one-dimensional KCuF 3 {\mathrm{KCuF}}_{3} using neutron scattering
D. Alan Tennant, Roger A. Cowley, Stephen E. Nagler, and Alexei M. Tsvelik · 1995
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Z 2 {Z}_{2} gauge theory of electron fractionalization in strongly correlated systems
T. Senthil and Matthew P. A. Fisher · 2000
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Resonating Valence Bond Phase in the Triangular Lattice Quantum Dimer Model
R. Moessner and S. L. Sondhi · 2001
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Order from disorder: Quantum spin gap in magnon spectra of LaTiO 3 {\mathrm{LaTiO}}_{3}
G. Khaliullin · 2001
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Quantum orders and symmetric spin liquids
Xiao-Gang Wen · 2002
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Quantum Behavior of Orbitals in Ferromagnetic Titanates: Novel Orderings and Excitations
Giniyat Khaliullin and Satoshi Okamoto · 2002
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Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
L.-M. Duan, E. Demler, and M. D. Lukin · 2003
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Fault-tolerant quantum computation by anyons
A.Yu. Kitaev · 2003
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Quantum Field Theory of Many-Body Systems
Xiao-Gang Wen · 2004
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What kinds of three-dimensional nets are possible with tris-chelated metal complexes as building blocks?
Lars Ohrstrom and Krister Larsson · 2004
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Orbital Order and Fluctuations in Mott Insulators
Giniyat Khaliullin · 2005
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String and membrane condensation on three-dimensional lattices
Alioscia Hamma, Paolo Zanardi, and Xiao-Gang Wen · 2005
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Anyons in an exactly solved model and beyond
Alexei Kitaev · 2006
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Spin-Liquid State in the S = 1 / 2 S=1/2 Hyperkagome Antiferromagnet Na 4 Ir 3 O 8 {\mathrm{Na}}_{4}{\mathrm{Ir}}_{3}{\mathrm{O}}_{8}
Yoshihiko Okamoto, Minoru Nohara, Hiroko Aruga-Katori, and Hidenori Takagi · 2007
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Exact Chiral Spin Liquid with Non-Abelian Anyons
Hong Yao and Steven A. Kivelson · 2007
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Mosaic spin models with topological order
S. Yang, D. L. Zhou, and C. P. Sun · 2007
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The wavefunction of an anyon
Jiannis K. Pachos · 2007
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Topological Characterization of Quantum Phase Transitions in a Spin- 1 / 2 1/2 Model
Xiao-Yong Feng, Guang-Ming Zhang, and Tao Xiang · 2007
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Exact Results for Spin Dynamics and Fractionalization in the Kitaev Model
G. Baskaran, Saptarshi Mandal, and R. Shankar · 2007
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An End to the Drought of Quantum Spin Liquids
Patrick A. Lee · 2008
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Anyonic loops in three-dimensional spin liquid and chiral spin liquid
Tieyan Si and Yue Yu · 2008
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Classification of topological insulators and superconductors in three spatial dimensions
Andreas P. Schnyder, Shinsei Ryu, Akira Furusaki, and Andreas W. W. Ludwig · 2008
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Exact results of the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations, journal=Journal of Physics A: Mathematical and Theoretical
Han-Dong Chen and Zohar Nussinov · 2008
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Fidelity susceptibility and long-range correlation in the Kitaev honeycomb model
Shuo Yang, Shi-Jian Gu, Chang-Pu Sun, and Hai-Qing Lin · 2008
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Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
G. Jackeli and G. Khaliullin · 2009
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Exactly solvable Kitaev model in three dimensions
Saptarshi Mandal and Naveen Surendran · 2009
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Topological phases and quantum computation
Alexei Kitaev and Chris Laumann · 2009
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Periodic table for topological insulators and superconductors
Alexei Kitaev · 2009
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Non-Abelian statistics as a Berry phase in exactly solvable models
Ville Lahtinen and Jiannis K Pachos · 2009
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Spin liquids in frustrated magnets
Leon Balents · 2010
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Antiferromagnetic Mott insulating state in single crystals of the honeycomb lattice material Na 2 IrO 3 {\text{Na}}_{2}{\text{IrO}}_{3}
Yogesh Singh and P. Gegenwart · 2010
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Kitaev model and dimer coverings on the honeycomb lattice
Michael Kamfor, Sébastien Dusuel, Julien Vidal, and Kai Phillip Schmidt · 2010
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Kitaev-Heisenberg Model on a Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides A 2 IrO 3 {A}_{2}{\mathrm{IrO}}_{3}
Ji ří Chaloupka, George Jackeli, and Giniyat Khaliullin · 2010
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Entanglement Entropy and Entanglement Spectrum of the Kitaev Model
Hong Yao and Xiao-Liang Qi · 2010
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Disorder in a Quantum Spin Liquid: Flux Binding and Local Moment Formation
A. J. Willans, J. T. Chalker, and R. Moessner · 2010
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Magnetic Impurities in the Honeycomb Kitaev Model
Kusum Dhochak, R. Shankar, and V. Tripathi · 2010
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Classical Heisenberg spins on a hexagonal lattice with Kitaev couplings
Samarth Chandra, Kabir Ramola, and Deepak Dhar · 2010
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The“Coulomb Phase” in Frustrated Systems
Christopher L. Henley · 2010
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Introduction to Frustrated Magnetism: Materials, Experiments, Theory (Springer Series in Solid-State Sciences)
Claudine Lacroix, Philippe Mendels, and Frédéric Mila, editors · 2011
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Long-range magnetic ordering in Na 2
X. Liu, T. Berlijn, W.-G. Yin, W. Ku, A. Tsvelik, Young-June Kim, H. Gretarsson, Yogesh Singh, P. Gegenwart, and J. P. Hill · 2011
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SU(2)-invariant Majorana spin liquid with stable parton Fermi surfaces in an exactly solvable model
Hsin-Hua Lai and Olexei I. Motrunich · 2011
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Power-Law Spin Correlations in a Perturbed Spin Model on a Honeycomb Lattice
K. S. Tikhonov, M. V. Feigel’man, and A. Yu. Kitaev · 2011
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Confinement-deconfinement transition and spin correlations in a generalized Kitaev model
S. Mandal, Subhro Bhattacharjee, K. Sengupta, R. Shankar, and G. Baskaran · 2011
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Power-law behavior of bond energy correlators in a Kitaev-type model with a stable parton Fermi surface
Hsin-Hua Lai and Olexei I. Motrunich · 2011
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Possible proximity of the Mott insulating iridate Na 2
Hong-Chen Jiang, Zheng-Cheng Gu, Xiao-Liang Qi, and Simon Trebst · 2011
Cited alongside, same era.
Site dilution in the Kitaev honeycomb model
A. J. Willans, J. T. Chalker, and R. Moessner · 2011
Cited alongside, same era.
Finite-temperature phase diagram of the Heisenberg-Kitaev model
Johannes Reuther, Ronny Thomale, and Simon Trebst · 2011
Cited alongside, same era.
Kitaev-Heisenberg- J 2 {J}_{2} - J 3 {J}_{3} model for the iridates A 2 {A}_{2} IrO 3
Itamar Kimchi and Yi-Zhuang You · 2011
Cited alongside, same era.
Possible proximity of the Mott insulating iridate Na 2
Hong-Chen Jiang, Zheng-Cheng Gu, Xiao-Liang Qi, and Simon Trebst · 2011
Cited alongside, same era.
Physical solutions of the Kitaev honeycomb model
Fabio L. Pedrocchi, Stefano Chesi, and Daniel Loss · 2011
Cited alongside, same era.
Dynamics of fractionalization in quantum spin liquids
J. Knolle, D. L. Kovrizhin, J. T. Chalker, and R. Moessner · 2015
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Neutron scattering signatures of the 3D hyperhoneycomb Kitaev quantum spin liquid
A. Smith, J. Knolle, D. L. Kovrizhin, J. T. Chalker, and R. Moessner · 2015
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Theory of Raman response in three-dimensional Kitaev spin liquids: Application to β \beta - and γ − Li 2 IrO 3 \gamma-{\mathrm{Li}}_{2}{\mathrm{IrO}}_{3} compounds
Brent Perreault, Johannes Knolle, Natalia B. Perkins, and F. J. Burnell · 2015
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Density-matrix renormalization group study of the extended Kitaev-Heisenberg model
Kazuya Shinjo, Shigetoshi Sota, and Takami Tohyama · 2015
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Scattering Continuum and Possible Fractionalized Excitations in α − RuCl 3 \alpha\text{$-$}{\mathrm{RuCl}}_{3}
Luke J. Sandilands, Yao Tian, Kemp W. Plumb, Young-June Kim, and Kenneth S. Burch · 2015
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Identifying topological order by entanglement entropy
Hong-Chen Jiang, Zhenghan Wang, and Leon Balents · 2012
Cited alongside, same era.
Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates A 2 IrO 3
Yogesh Singh, S. Manni, J. Reuther, T. Berlijn, R. Thomale, W. Ku, S. Trebst, and P. Gegenwart · 2012
Cited alongside, same era.
Direct evidence of a zigzag spin-chain structure in the honeycomb lattice: A neutron and x-ray diffraction investigation of single-crystal Na 2
Feng Ye, Songxue Chi, Huibo Cao, Bryan C. Chakoumakos, Jaime A. Fernandez-Baca, Radu Custelcean, T. F. Qi, O. B. Korneta, and G. Cao · 2012
Cited alongside, same era.
Spin Waves and Revised Crystal Structure of Honeycomb Iridate Na 2 IrO 3 {\mathrm{Na}}_{2}{\mathrm{IrO}}_{3}
S. K. Choi, R. Coldea, A. N. Kolmogorov, T. Lancaster, I. I. Mazin, S. J. Blundell, P. G. Radaelli, Yogesh Singh, P. Gegenwart, K. R. Choi, S.-W. Cheong, P. J. Baker, C. Stock, and J. Taylor · 2012
Cited alongside, same era.
Doping a spin-orbit Mott insulator: Topological superconductivity from the Kitaev-Heisenberg model and possible application to (Na 2
Yi-Zhuang You, Itamar Kimchi, and Ashvin Vishwanath · 2012
Cited alongside, same era.
Competition between d d -wave and topological p p -wave superconducting phases in the doped Kitaev-Heisenberg model
Timo Hyart, Anthony R. Wright, Giniyat Khaliullin, and Bernd Rosenow · 2012
Cited alongside, same era.
Successive magnetic phase transitions in α − RuCl 3 \alpha-{\mathrm{RuCl}}_{3} : XY-like frustrated magnet on the honeycomb lattice
Yumi Kubota, Hidekazu Tanaka, Toshio Ono, Yasuo Narumi, and Koichi Kindo · 2015
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Monoclinic crystal structure of α − RuCl 3 \alpha-{\mathrm{RuCl}}_{3} and the zigzag antiferromagnetic ground state
R. D. Johnson, S. C. Williams, A. A. Haghighirad, J. Singleton, V. Zapf, P. Manuel, I. I. Mazin, Y. Li, H. O. Jeschke, R. Valentí, and R. Coldea · 2015
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Anisotropic Ru 3 + 4 d 5 {\mathrm{Ru}}^{3+}4{d}^{5} magnetism in the α − RuCl 3 \alpha-{\mathrm{RuCl}}_{3} honeycomb system: Susceptibility, specific heat, and zero-field NMR
M. Majumder, M. Schmidt, H. Rosner, A. A. Tsirlin, H. Yasuoka, and M. Baenitz · 2015
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Phase Diagram and Quantum Order by Disorder in the Kitaev K 1 − K 2 {K}_{1}-{K}_{2} Honeycomb Magnet
Ioannis Rousochatzakis, Johannes Reuther, Ronny Thomale, Stephan Rachel, and N. B. Perkins · 2015
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Physical states and finite-size effects in Kitaev’s honeycomb model: Bond disorder, spin excitations, and NMR line shape
Fabian Zschocke and Matthias Vojta · 2015
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Designing Kitaev spin liquids in metal-organic frameworks
Masahiko G. Yamada, Hiroyuki Fujita, and Masaki Oshikawa · 2016
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Incommensurate counterrotating magnetic order stabilized by Kitaev interactions in the layered honeycomb α − Li 2 IrO 3 \alpha\text{$-$}{\mathrm{Li}}_{2}{\mathrm{IrO}}_{3}
S. C. Williams, R. D. Johnson, F. Freund, Sungkyun Choi, A. Jesche, I. Kimchi, S. Manni, A. Bombardi, P. Manuel, P. Gegenwart, and R. Coldea · 2016
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Proximate Kitaev quantum spin liquid behaviour in a honeycomb magnet
A. Banerjee, C. A. Bridges, J.-Q. Yan, A. A. Aczel, L. Li, M. B. Stone, G. E. Granroth, M. D. Lumsden, Y. Yiu, J. Knolle, S. Bhattacharjee, D. L. Kovrizhin, R. Moessner, D. A. Tennant, D. G. Mandrus, and S. E. Nagler · 2016
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Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
Arnab Banerjee, Jiaqiang Yan, Johannes Knolle, Craig A. Bridges, Matthew B. Stone, Mark D. Lumsden, David G. Mandrus, Roderich Tennant, David A. Moessner, and Stephen E. Nagler · 2016
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Spin-orbit excitations and electronic structure of the putative Kitaev magnet α − RuCl 3 \alpha-{\mathrm{RuCl}}_{3}
Luke J. Sandilands, Yao Tian, Anjan A. Reijnders, Heung-Sik Kim, K. W. Plumb, Young-June Kim, Hae-Young Kee, and Kenneth S. Burch · 2016
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Fermionic response from fractionalization in an insulating two-dimensional magnet
Joji Nasu, Johannes Knolle, Dima L. Kovrizhin, Yukitoshi Motome, and Roderich Moessner · 2016
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Classification of gapless Z 2 Z_{2} spin liquids in three-dimensional Kitaev models
Kevin O’Brien, Maria Hermanns, and Simon Trebst · 2016
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Landau Levels of Majorana Fermions in a Spin Liquid
Stephan Rachel, Lars Fritz, and Matthias Vojta · 2016
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Classification of topological quantum matter with symmetries
Ching-Kai Chiu, Jeffrey C. Y. Teo, Andreas P. Schnyder, and Shinsei Ryu · 2016
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Clues and criteria for designing a Kitaev spin liquid revealed by thermal and spin excitations of the honeycomb iridate Na 2 IrO 3 {\mathrm{Na}}_{2}{\mathrm{IrO}}_{3}
Youhei Yamaji, Takafumi Suzuki, Takuto Yamada, Sei-ichiro Suga, Naoki Kawashima, and Masatoshi Imada · 2016
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Challenges in design of Kitaev materials: Magnetic interactions from competing energy scales
Stephen M. Winter, Ying Li, Harald O. Jeschke, and Roser Valentí · 2016
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Kitaev anisotropy induces mesoscopic Z 2 Z_{2} vortex crystals in frustrated hexagonal antiferromagnets
Ioannis Rousochatzakis, Ulrich K. Rössler, Jeroen van den Brink, and Maria Daghofer · 2016
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Dynamics of a Quantum Spin Liquid (Springer Theses)
Johannes Knolle · 2016
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Majorana spectroscopy of three-dimensional Kitaev spin liquids
A. Smith, J. Knolle, D. L. Kovrizhin, J. T. Chalker, and R. Moessner · 2016
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Resonant Raman scattering theory for Kitaev models and their Majorana fermion boundary modes
Brent Perreault, Johannes Knolle, Natalia B. Perkins, and F. J. Burnell · 2016
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Raman scattering in correlated thin films as a probe of chargeless surface states
Brent Perreault, Johannes Knolle, Natalia B. Perkins, and F. J. Burnell · 2016
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Majorana Landau Level Raman Spectroscopy
Brent Perreault, Stephan Rachel, F. J. Burnell, and Johannes Knolle · 2016
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Resonant Inelastic X-Ray Scattering Response of the Kitaev Honeycomb Model
Gábor B. Halász, Natalia B. Perkins, and Jeroen van den Brink · 2016
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Low-Energy Spin Dynamics of the Honeycomb Spin Liquid Beyond the Kitaev Limit
Xue-Yang Song, Yi-Zhuang You, and Leon Balents · 2016
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Fractional Spin Fluctuations as a Precursor of Quantum Spin Liquids: Majorana Dynamical Mean-Field Study for the Kitaev Model
Junki Yoshitake, Joji Nasu, and Yukitoshi Motome · 2016
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Kondo Impurities in the Kitaev Spin Liquid: Numerical Renormalization Group Solution and Gauge-Flux-Driven Screening
Matthias Vojta, Andrew K. Mitchell, and Fabian Zschocke · 2016
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Vacancies in Kitaev quantum spin liquids on the three-dimensional hyperhoneycomb lattice
G. J. Sreejith, Subhro Bhattacharjee, and R. Moessner · 2016
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Coherent hole propagation in an exactly solvable gapless spin liquid
Gábor B. Halász and J. T. Chalker · 2016
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Spin dynamics of counterrotating Kitaev spirals via duality
Itamar Kimchi and Radu Coldea · 2016
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Raman spectroscopic signature of fractionalized excitations in the harmonic-honeycomb iridates β \beta - and γ \gamma -Li 2 IrO 3
A. Glamazda, P. Lemmens, S. H. Do, Y. S. Choi, and K. Y. Choi · 2016
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Daichi Hirobe, Masahiro Sato, Yuki Shiomi, Hidekazu Tanaka, and Eiji Saitoh · 2016
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Ian A. Leahy, Christopher A. Pocs, Peter E. Siegfried, David Graf, S.-H. Do, Kwang-Yong Choi, B. Normand, and Minhyea Lee · 2016
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Kitaev exchange and field-induced quantum spin-liquid states in honeycomb α \alpha -RuCl 3
Ravi Yadav, Nikolay A. Bogdanov, Vamshi M. Katukuri, Satoshi Nishimoto, Jeroen van den Brink, and Liviu Hozoi · 2016
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Kitaev Spin Liquid Physics in Honeycomb and Related Materials
T. Takayama and H. Takagi · 2016
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Robust spin correlations at high magnetic fields in the honeycomb iridates
K. A. Modic, B. J. Ramshaw, N. P. Breznay, J. G. Analytis, R. D. McDonald, and A. Shekhter · 2016
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Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
Jeffrey G. Rau, Eric Kin-Ho Lee, and Hae-Young Kee · 2016
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Quantum Spin Liquid States
Y. Zhou, K. Kanoda, and T.-K. Ng · 2016
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N. P. Breznay, A. Ruiz, A. Frano, W. Bi, R. J. Birgeneau, D. Haskel, and J. G. Analytis · 2017
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Dirac cones and touching nodal lines in three-dimensional Kitaev spin liquids
M. G. Yamada, V. Dwivedi, and M. Hermanns · 2017
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Dynamics of the Kitaev-Heisenberg Model
Matthias Gohlke, Ruben Verresen, Roderich Moessner, and Frank Pollmann · 2017
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Breakdown of Magnons in a Strongly Spin-Orbital Coupled Magnet
S. M. Winter, K. Riedl, A. Honecker, and R. Valenti · 2017
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Incarnation of Majorana Fermions in Kitaev Quantum Spin Lattice
Seung-Hwan Do, Sang-Youn Park, Junki Yoshitake, Joji Nasu, Yukitoshi Motome, Yong Seung Kwon, D. T. Adroja, D. J. Voneshen, Kyoo Kim, T.-H. Jang, J.-H. Park, Kwang-Yong Choi, and Sungdae Ji · 2017
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Observation of a Field-induced Quantum Spin Liquid in α \alpha -RuCl 3
S.-H. Baek, S.-H. Do, K.-Y. Choi, Y. S. Kwon, A.U.B. Wolter, S. Nishimoto, Jeroen van den Brink, and B. Büchner · 2017
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Field-induced intertwined orders in 3D Mott-Kitaev honeycomb β \beta -Li 2 IrO 3
A. Ruiz, A. Frano, N. P. Breznay, I. Kimchi, T. Helm, I. Oswald, J. Y. Chan, R. J. Birgeneau, Z. Islam, and J. G. Analytis · 2017
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Quantum spin liquids: a review
L. Savary and L. Balents · 2017
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S. Trebst · 2017
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