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Spin liquids are collective phases of quantum matter which have eluded discovery in correlated magnetic materials for over half a century.
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Daniel S. Rokhsar and Steven A. Kivelson · 1988
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Magnetic frustration and lattice dimensionality in srcr8ga4o19
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P. Chandra, P. Coleman, and A. I. Larkin · 1990
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Ground-state degeneracy of the fractional quantum hall states in the presence of a random potential and on high-genus riemann surfaces
X. G. Wen and Q. Niu · 1990
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Antiferromagnetic fluctuations and short-range order in a kagomé lattice
C. Broholm, G. Aeppli, G. P. Espinosa, and A. S. Cooper · 1990
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Observation of s=1/2 degrees of freedom in an s=1 linear-chain heisenberg antiferromagnet
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Mean-field theory of spin-liquid states with finite energy gap and topological orders
X. G. Wen · 1991
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Nonabelions in the fractional quantum hall effect
Gregory Moore and Nicholas Read · 1991
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Order from disorder in a kagomé antiferromagnet
Andrey Chubukov · 1992
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Skyrmions and the crossover from the integer to fractional quantum hall effect at small zeeman energies
S. L. Sondhi, A. Karlhede, S. A. Kivelson, and E. H. Rezayi · 1993
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A P Ramirez · 1994
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Two-population model for anomalous low-temperature magnetism in geometrically frustrated magnets
P. Schiffer and I. Daruka · 1997
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Properties of a classical spin liquid: The heisenberg pyrochlore antiferromagnet
R. Moessner and J. T. Chalker · 1998
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Beyond paired quantum hall states: Parafermions and incompressible states in the first excited landau level
N. Read and E. Rezayi · 1999
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Quantum spin liquids
Frédéric Mila · 2000
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Commensurability, excitation gap, and topology in quantum many-particle systems on a periodic lattice
Masaki Oshikawa · 2000
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Local spin resonance and spin-peierls-like phase transition in a geometrically frustrated antiferromagnet
S.-H. Lee, C. Broholm, T. H. Kim, W. Ratcliff, and S-W. Cheong · 2000
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Dynamics and transport in random antiferromagnetic spin chains
Kedar Damle, Olexei Motrunich, and David A. Huse · 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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Spin ice state in frustrated magnetic pyrochlore materials
Steven T. Bramwell and Michel J. P. Gingras · 2001
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Conventional and unconventional orderings in the jarosites
A S Wills · 2001
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Spin-1/2 kagomé-like lattice in volborthite cu3v2o7(oh)2·2h2o
Zenji Hiroi, Masafumi Hanawa, Naoya Kobayashi, Minoru Nohara, Hidenori Takagi, Yoshitomo Kato, and Masashi Takigawa · 2001
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Non-abelian statistics of half-quantum vortices in p \mathit{p} -wave superconductors
D. A. Ivanov · 2001
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Susceptibility and dilution effects of the kagomé bilayer geometrically frustrated network: A ga nmr study of srcr 9 p ga 12 − 9 p o 19 {\mathrm{srcr}}_{9p}{\mathrm{ga}}_{12-9p}{\mathrm{o}}_{19}
L. Limot, P. Mendels, G. Collin, C. Mondelli, B. Ouladdiaf, H. Mutka, N. Blanchard, and M. Mekata · 2002
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Quantum orders and symmetric spin liquids
Xiao-Gang Wen · 2002
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Fault-tolerant quantum computation by anyons
A Yu Kitaev · 2003
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Spin liquid state in an organic mott insulator with a triangular lattice
Y. Shimizu, K. Miyagawa, K. Kanoda, M. Maesato, and G. Saito · 2003
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Theory of the [111] magnetization plateau in spin ice
R. Moessner and S. L. Sondhi · 2003
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Coulomb and liquid dimer models in three dimensions
David A. Huse, Werner Krauth, R. Moessner, and S. L. Sondhi · 2003
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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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Quantum Field Theory of Many-Body Systems
Xiao-Gang Wen · 2004
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Lieb-schultz-mattis in higher dimensions
M. B. Hastings · 2004
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Stability of u ( 1 ) u(1) spin liquids in two dimensions
Michael Hermele, T. Senthil, Matthew P. A. Fisher, Patrick A. Lee, Naoto Nagaosa, and Xiao-Gang Wen · 2004
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Deconfined quantum critical points
T Senthil, Ashvin Vishwanath, Leon Balents, Subir Sachdev, and Matthew PA Fisher · 2004
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Bipartite entanglement and entropic boundary law in lattice spin systems
Alioscia Hamma, Radu Ionicioiu, and Paolo Zanardi · 2005
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Quantum criticality and universal scaling of a quantum antiferromagnet
Bella Lake, D Alan Tennant, Chris D Frost, and Stephen E Nagler · 2005
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Anyons in an exactly solved model and beyond
Alexei Kitaev · 2006
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Geometrical frustration
Roderich Moessner and Arthur P Ramirez · 2006
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Nematic order in square lattice frustrated ferromagnets
Nic Shannon, Tsutomu Momoi, and Philippe Sindzingre · 2006
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Topological entanglement entropy
Alexei Kitaev and John Preskill · 2006
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Detecting topological order in a ground state wave function
Michael Levin and Xiao-Gang Wen · 2006
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Series expansion methods for strongly interacting lattice models
Jaan Oitmaa, Chris Hamer, and Weihong Zheng · 2006
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Metallic spin-liquid behavior of the geometrically frustrated kondo lattice pr 2 ir 2 o 7 {\mathrm{pr}}_{2}{\mathrm{ir}}_{2}{\mathrm{o}}_{7}
S. Nakatsuji, Y. Machida, Y. Maeno, T. Tayama, T. Sakakibara, J. van Duijn, L. Balicas, J. N. Millican, R. T. Macaluso, and Julia Y. Chan · 2006
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Spin hamiltonian for which the chiral spin liquid is the exact ground state
Darrell F. Schroeter, Eliot Kapit, Ronny Thomale, and Martin Greiter · 2007
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Heisenberg antiferromagnet with anisotropic exchange on the kagomé lattice: Description of the magnetic properties of volborthite
T. Yavors’kii, W. Apel, and H.-U. Everts · 2007
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Quantum magnetism in the paratacamite family: Towards an ideal kagomé lattice
P. Mendels, F. Bert, M. A. de Vries, A. Olariu, A. Harrison, F. Duc, J. C. Trombe, J. S. Lord, A. Amato, and C. Baines · 2007
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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}
Topological phases in ultracold polar-molecule quantum magnets
Salvatore R. Manmana, E. M. Stoudenmire, Kaden R. A. Hazzard, Ana Maria Rey, and Alexey V. Gorshkov · 2013
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Magnetic-moment fragmentation and monopole crystallization
M. E. Brooks-Bartlett, S. T. Banks, L. D. C. Jaubert, A. Harman-Clarke, and P. C. W. Holdsworth · 2014
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Topological excitations and the dynamic structure factor of spin liquids on the kagome lattice
Matthias Punk, Debanjan Chowdhury, and Subir Sachdev · 2014
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α − RuCl 3 \alpha-{\mathrm{RuCl}}_{3} : A spin-orbit assisted Mott insulator on a honeycomb lattice
K. W. Plumb, J. P. Clancy, L. J. Sandilands, V. Vijay Shankar, Y. F. Hu, K. S. Burch, Hae-Young Kee, and Young-June Kim · 2014
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Tenth-order high-temperature expansion for the susceptibility and the specific heat of spin- s s heisenberg models with arbitrary exchange patterns: Application to pyrochlore and kagome magnets
Andre Lohmann, Heinz-Jürgen Schmidt, and Johannes Richter · 2014
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Yoshihiko Okamoto, Minoru Nohara, Hiroko Aruga-Katori, and Hidenori Takagi · 2007
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Entanglement and topological entropy of the toric code at finite temperature
Claudio Castelnovo and Claudio Chamon · 2007
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Pinch points and kasteleyn transitions in kagome ice
T Fennell, ST Bramwell, DF McMorrow, P Manuel, and AR Wildes · 2007
Cited alongside, same era.
Evidence for deconfined quantum criticality in a two-dimensional heisenberg model with four-spin interactions
Anders W. Sandvik · 2007
Cited alongside, same era.
Power-law conductivity inside the mott gap: Application to κ − ( BEDT − TTF ) 2 cu 2 ( CN ) 3 \kappa\mathrm{\text{$-$}}(\mathrm{BEDT}\mathrm{\text{$-$}}\mathrm{TTF}{)}_{2}{\mathrm{cu}}_{2}(\mathrm{CN}{)}_{3}
Tai-Kai Ng and Patrick A. Lee · 2007
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Inelastic light scattering from correlated electrons
Thomas P. Devereaux and Rudi Hackl · 2007
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An end to the drought of quantum spin liquids
Patrick A. Lee · 2008
Cited alongside, same era.
Non-abelian anyons and topological quantum computation
Chetan Nayak, Steven H. Simon, Ady Stern, Michael Freedman, and Sankar Das Sarma · 2008
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Realization of a three-dimensional spin-anisotropic harmonic honeycomb iridate
K. A. Modic, Tess E. Smidt, Itamar Kimchi, Nicholas P. Breznay, Alun Biffin, Sungkyun Choi, Roger D. Johnson, Radu Coldea, Pilanda Watkins-Curry, Gregory T. McCandless, Julia Y. Chan, Felipe Gandara, Z. Islam, Ashvin Vishwanath, Arkady Shekhter, Ross D. McDonald, and James G. Analytis · 2014
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Vaporization of kitaev spin liquids
Joji Nasu, Masafumi Udagawa, and Yukitoshi Motome · 2014
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Dynamics of a two-dimensional quantum spin liquid: Signatures of emergent majorana fermions and fluxes
J. Knolle, D. L. Kovrizhin, J. T. Chalker, and R. Moessner · 2014
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Raman scattering signatures of kitaev spin liquids in A 2 iro 3 {A}_{2}{\mathrm{iro}}_{3} iridates with a = Na a=\mathrm{Na} or li
J. Knolle, Gia-Wei Chern, D. L. Kovrizhin, R. Moessner, and N. B. Perkins · 2014
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Thermal fractionalization of quantum spins in a kitaev model: Temperature-linear specific heat and coherent transport of majorana fermions
Joji Nasu, Masafumi Udagawa, and Yukitoshi Motome · 2015
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Probing excitations in insulators via injection of spin currents
Shubhayu Chatterjee and Subir Sachdev · 2015
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Thermal hall effect of spins in a paramagnet
Hyunyong Lee, Jung Hoon Han, and Patrick A. Lee · 2015
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Large thermal hall conductivity of neutral spin excitations in a frustrated quantum magnet
Max Hirschberger, Jason W. Krizan, R. J. Cava, and N. P. Ong · 2015
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Dynamics of fractionalization in quantum spin liquids
J. Knolle, D. L. Kovrizhin, J. T. Chalker, and R. Moessner · 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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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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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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Topological spin glass in diluted spin ice
Arnab Sen and R. Moessner · 2015
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Confinement-deconfinement transition as an indication of spin-liquid-type behavior in na 2 iro 3
Zhanybek Alpichshev, Fahad Mahmood, Gang Cao, and Nuh Gedik · 2015
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Herbertsmithite and the search for the quantum spin liquid
M. R. Norman · 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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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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Physical realization of a quantum spin liquid based on a complex frustration mechanism
Christian Balz, Bella Lake, Johannes Reuther, Hubertus Luetkens, Rico Schönemann, Thomas Herrmannsdörfer, Yogesh Singh, ATM Nazmul Islam, Elisa M Wheeler, Jose A Rodriguez-Rivera, et al · 2016
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Emergence of nontrivial magnetic excitations in a spin-liquid state of kagomé volborthite
Daiki Watanabe, Kaori Sugii, Masaaki Shimozawa, Yoshitaka Suzuki, Takeshi Yajima, Hajime Ishikawa, Zenji Hiroi, Takasada Shibauchi, Yuji Matsuda, and Minoru Yamashita · 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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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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Dynamics of a Quantum Spin Liquid (Springer Theses)
Johannes Knolle · 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 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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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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Majorana landau level raman spectroscopy
Brent Perreault, Stephan Rachel, F. J. Burnell, and 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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Ultrafast energy-and momentum-resolved dynamics of magnetic correlations in the photo-doped mott insulator sr 2 iro 4
MPM Dean, Yue Cao, X Liu, S Wall, D Zhu, Roman Mankowsky, V Thampy, XM Chen, JG Vale, D Casa, et al · 2016
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Quantum spin liquid states
Yi Zhou, Kazushi Kanoda, and Tai-Kai Ng · 2017
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Models and materials for generalized kitaev magnetism
Stephen M Winter, Alexander A Tsirlin, Maria Daghofer, Jeroen van den Brink, Yogesh Singh, Philipp Gegenwart, and Roser Valenti · 2017
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Topological triplon modes and bound states in a shastry–sutherland magnet
PA McClarty, F Krüger, Tatiana Guidi, SF Parker, Keith Refson, AW Parker, Dharmalingam Prabhakaran, and Radu Coldea · 2017
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Disordered route to the coulomb quantum spin liquid: Random transverse fields on spin ice in pr 2 zr 2 o 7 {\mathrm{pr}}_{2}{\mathrm{zr}}_{2}{\mathrm{o}}_{7}
J.-J. Wen, S. M. Koohpayeh, K. A. Ross, B. A. Trump, T. M. McQueen, K. Kimura, S. Nakatsuji, Y. Qiu, D. M. Pajerowski, J. R. D. Copley, and C. L. Broholm · 2017
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Continuous excitations of the triangular-lattice quantum spin liquid ybmggao4
Joseph AM Paddison, Marcus Daum, Zhiling Dun, Georg Ehlers, Yaohua Liu, Matthew B Stone, Haidong Zhou, and Martin Mourigal · 2017
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Cu2iro3: a new magnetically frustrated honeycomb iridate
Mykola Abramchuk, Cigdem Ozsoy-Keskinbora, Jason W Krizan, Kenneth R Metz, David C Bell, and Fazel Tafti · 2017
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Anomalous thermal conductivity and magnetic torque response in the honeycomb magnet α − rucl 3 \alpha\text{$-$}{\mathrm{rucl}}_{3}
Ian A. Leahy, Christopher A. Pocs, Peter E. Siegfried, David Graf, S.-H. Do, Kwang-Yong Choi, B. Normand, and Minhyea Lee · 2017
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Large field-induced gap of kitaev-heisenberg paramagnons in α \alpha -rucl 3
Richard Hentrich, Anja UB Wolter, Xenophon Zotos, Wolfram Brenig, Domenic Nowak, Anna Isaeva, Thomas Doert, Arnab Banerjee, Paula Lampen-Kelley, David G Mandrus, et al · 2017
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Thermal hall effect in a kitaev spin liquid: A possible signature of majorana chiral edge current
Y Kasahara, K Sugii, T Ohnishi, M Shimozawa, M Yamashita, N Kurita, H Tanaka, J Nasu, Y Motome, T Shibauchi, et al · 2017
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Neutron scattering in the proximate quantum spin liquid α \alpha -rucl3
Arnab Banerjee, Jiaqiang Yan, Johannes Knolle, Craig A Bridges, Matthew B Stone, Mark D Lumsden, David G Mandrus, David A Tennant, Roderich Moessner, and Stephen E Nagler · 2017
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Mechanism for sub-gap optical conductivity in honeycomb kitaev materials
Adrien Bolens, Hosho Katsura, Masao Ogata, and Seiji Miyashita · 2017
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Antiferromagnetic resonance and terahertz continuum in α − rucl 3 \alpha\text{$-$}{\mathrm{rucl}}_{3}
A. Little, Liang Wu, P. Lampen-Kelley, A. Banerjee, S. Patankar, D. Rees, C. A. Bridges, J.-Q. Yan, D. Mandrus, S. E. Nagler, and J. Orenstein · 2017
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Magnetic excitations and continuum of a possibly field-induced quantum spin liquid in α − rucl 3 \alpha\text{$-$}{\mathrm{rucl}}_{3}
Zhe Wang, S. Reschke, D. Hüvonen, S.-H. Do, K.-Y. Choi, M. Gensch, U. Nagel, T. Rõ om, and A. Loidl · 2017
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C Wellm, J Zeisner, A Alfonsov, AUB Wolter, M Roslova, A Isaeva, T Doert, M Vojta, B Büchner, and V Kataev · 2017
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Dynamics of a j = 3 2 j=\frac{3}{2} quantum spin liquid
W. M. H. Natori, M. Daghofer, and R. G. Pereira · 2017
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Statistics of fractionalized excitations through threshold spectroscopy
Siddhardh C. Morampudi, Ari M. Turner, Frank Pollmann, and Frank Wilczek · 2017
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Disorder-induced quantum spin liquid in spin ice pyrochlores
Lucile Savary and Leon Balents · 2017
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Valence bonds in random quantum magnets: Theory and application to ybmggao4
Itamar Kimchi, Adam Nahum, and T Senthil · 2017
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Designing kitaev spin liquids in metal-organic frameworks
Masahiko G. Yamada, Hiroyuki Fujita, and Masaki Oshikawa · 2017
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Physics of the kitaev model: Fractionalization, dynamic correlations, and material connections
M. Hermanns, I. Kimchi, and J. Knolle · 2018
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A spin–orbital-entangled quantum liquid on a honeycomb lattice
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Emergent electrochemistry in spin ice: Debye-h \ \backslash ” { \{ u } \} ckel theory and beyond
Vojtěch Kaiser, Jonathan Bloxsom, Laura Bovo, Steven T Bramwell, Peter CW Holdsworth, and Roderich Moessner · 2018
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Unusual phonon heat transport in α − rucl 3 \alpha\text{$-$}{\mathrm{rucl}}_{3} : Strong spin-phonon scattering and field-induced spin gap
Richard Hentrich, Anja U. B. Wolter, Xenophon Zotos, Wolfram Brenig, Domenic Nowak, Anna Isaeva, Thomas Doert, Arnab Banerjee, Paula Lampen-Kelley, David G. Mandrus, Stephen E. Nagler, Jennifer Sears, Young-June Kim, Bernd Büchner, and Christian Hess · 2018
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Excitations in the field-induced quantum spin liquid state of α \alpha -rucl 3
Arnab Banerjee, Paula Lampen-Kelley, Johannes Knolle, Christian Balz, Adam Anthony Aczel, Barry Winn, Yaohua Liu, Daniel Pajerowski, Jiaqiang Yan, Craig A Bridges, et al · 2018
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