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We study the U(1) quantum spin liquid on the pyrochlore spin ice systems.
P.A.M. Dirac, “Quantised singularities in the electromagnetic field,” Proc. Roy. Soc. (London) A133
1931
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J. M. Baker and B. Bleaney, “Paramagnetic resonance in some lanthanon ethyl sulphates,” Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences 245
1958
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S. Elitzur, “Impossibility of spontaneously breaking local symmetries,” Phys. Rev. D 12
1975
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Douglas R. Hofstadter, “Energy levels and wave functions of bloch electrons in rational and irrational magnetic fields,” Phys. Rev. B 14
1976
Earlier work this paper cites.
Roger G. Melko, Byron C. den Hertog, and Michel J. P. Gingras, “Long-range order at low temperatures in dipolar spin ice,” Phys. Rev. Lett. 87
2001
Earlier work this paper cites.
S. T. Bramwell, M. J. Harris, B. C. den Hertog, M. J. P. Gingras, J. S. Gardner, D. F. McMorrow, A. R. Wildes, A. L. Cornelius, J. D. M. Champion, R. G. Melko, and T. Fennell, “Spin Correlations in Ho 2 Ti 2 O 7 {\mathrm{Ho}}_{2}{\mathrm{Ti}}_{2}{O}_{7} : A Dipolar Spin Ice System,” Phys. Rev. Lett. 87
2001
Earlier work this paper cites.
J. S. Gardner, B. D. Gaulin, A. J. Berlinsky, P. Waldron, S. R. Dunsiger, N. P. Raju, and J. E. Greedan, “Neutron scattering studies of the cooperative paramagnet pyrochlore Tb 2 Ti 2 O 7 {\mathrm{Tb}}_{2}{\mathrm{Ti}}_{2}{\mathrm{O}}_{7} ,” Phys. Rev. B 64
2001
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Steven T. Bramwell and Michel J. P. Gingras, “Spin Ice State in Frustrated Magnetic Pyrochlore Materials,” Science 294
2001
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H. Fukazawa, R. G. Melko, R. Higashinaka, Y. Maeno, and M. J. P. Gingras, “Magnetic anisotropy of the spin-ice compound Dy 2 Ti 2 O 7 {\mathrm{Dy}}_{2}{\mathrm{Ti}}_{2}{\mathrm{O}}_{7} ,” Phys. Rev. B 65
2002
Earlier work this paper cites.
Yukio Yasui, Masaki Kanada, Masafumi Ito, Hiroshi Harashina, Masatoshi Sato, Hajime Okumura, Kazuhisa Kakurai, and Hiroaki Kadowaki, “Static Correlation and Dynamical Properties of Tb 3+
2002
Earlier work this paper cites.
Yukio Yasui, Minoru Soda, Satoshi Iikubo, Masafumi Ito, Masatoshi Sato, Nobuko Hamaguchi, Taku Matsushita, Nobuo Wada, Tetsuya Takeuchi, Naofumi Aso, and Kazuhisa Kakurai, “Ferromagnetic Transition of Pyrochlore Compound Yb 2 Ti 2 O 7 ,” Journal of the Physical Society of Japan 72
2003
Earlier work this paper cites.
Michael Hermele, Matthew P. A. Fisher, and Leon Balents, “Pyrochlore photons: The U ( 1 ) U(1) spin liquid in a S = 1 2 S=\frac{1}{2} three-dimensional frustrated magnet,” Phys. Rev. B 69
2004
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O. I. Motrunich and T. Senthil, “Origin of artificial electrodynamics in three-dimensional bosonic models,” Phys. Rev. B 71
2005
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Doron L. Bergman, Gregory A. Fiete, and Leon Balents, “Ordering in a frustrated pyrochlore antiferromagnet proximate to a spin liquid,” Phys. Rev. B 73
2006
Earlier work this paper cites.
Hamid R. Molavian, Michel J. P. Gingras, and Benjamin Canals, “Dynamically Induced Frustration as a Route to a Quantum Spin Ice State in Tb 2 Ti 2 O 7 {\mathrm{Tb}}_{2}{\mathrm{Ti}}_{2}{\mathrm{O}}_{7} via Virtual Crystal Field Excitations and Quantum Many-Body Effects,” Phys. Rev. Lett. 98
2007
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C. Castelnovo1, R. Moessner, and S. L. Sondhi, “Magnetic monopoles in spin ice,” Nature 451
2008
Earlier work this paper cites.
Argha Banerjee, Sergei V. Isakov, Kedar Damle, and Yong Baek Kim, “Unusual Liquid State of Hard-Core Bosons on the Pyrochlore Lattice,” Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
K. A. Ross, J. P. C. Ruff, C. P. Adams, J. S. Gardner, H. A. Dabkowska, Y. Qiu, J. R. D. Copley, and B. D. Gaulin, “Two-Dimensional Kagome Correlations and Field Induced Order in the Ferromagnetic X Y XY Pyrochlore Yb 2 Ti 2 O 7 {\mathrm{Yb}}_{2}{\mathrm{Ti}}_{2}{\mathrm{O}}_{7} ,” Phys. Rev. Lett. 103
2009
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Shigeki Onoda and Yoichi Tanaka, “Quantum Melting of Spin Ice: Emergent Cooperative Quadrupole and Chirality,” Phys. Rev. Lett. 105
2010
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Jason S. Gardner, Michel J. P. Gingras, and John E. Greedan, “Magnetic pyrochlore oxides,” Rev. Mod. Phys. 82
2010
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Kate Ross, Lucile Savary, Bruce Gaulin, and Leon Balents, “Quantum Excitations in Quantum Spin Ice,” Phys. Rev. X 1
2011
Earlier work this paper cites.
S. R. Dunsiger, A. A. Aczel, C. Arguello, H. Dabkowska, A. Dabkowski, M.-H. Du, T. Goko, B. Javanparast, T. Lin, F. L. Ning, H. M. L. Noad, D. J. Singh, T. J. Williams, Y. J. Uemura, M. J. P. Gingras, and G. M. Luke, “Spin ice: Magnetic excitations without monopole signatures using muon spin rotation,” Phys. Rev. Lett. 107
2011
Cited alongside, same era.
Shigeki Onoda and Yoichi Tanaka, “Quantum fluctuations in the effective pseudospin- 1 2 \frac{1}{2} model for magnetic pyrochlore oxides,” Phys. Rev. B 83
2011
Cited alongside, same era.
Lucile Savary and Leon Balents, “Coulombic Quantum Liquids in Spin- 1 / 2 1/2 Pyrochlores,” Phys. Rev. Lett. 108
2012
Cited alongside, same era.
SungBin Lee, Shigeki Onoda, and Leon Balents, “Generic quantum spin ice,” Phys. Rev. B 86
2012
Cited alongside, same era.
Yuan Wan and Oleg Tchernyshyov, “Quantum Strings in Quantum Spin Ice,” Phys. Rev. Lett. 108
Andrew M. Essin and Michael Hermele, “Spectroscopic signatures of crystal momentum fractionalization,” Phys. Rev. B 90
2014
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D. E. MacLaughlin, O. O. Bernal, Lei Shu, Jun Ishikawa, Yosuke Matsumoto, J.-J. Wen, M. Mourigal, C. Stock, G. Ehlers, C. L. Broholm, Yo Machida, Kenta Kimura, Satoru Nakatsuji, Yasuyuki Shimura, and Toshiro Sakakibara, “Unstable spin-ice order in the stuffed metallic pyrochlore Pr 2 + x Ir 2 − x O 7 − δ {\mathrm{Pr}}_{2+x}{\mathrm{Ir}}_{2-x}{\mathrm{O}}_{7-\delta} ,” Phys. Rev. B 92
2015
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L. D. C. Jaubert, Owen Benton, Jeffrey G. Rau, J. Oitmaa, R. R. P. Singh, Nic Shannon, and Michel J. P. Gingras, “Are Multiphase Competition and Order by Disorder the Keys to Understanding Yb 2 Ti 2 O 7 {\mathrm{Yb}}_{2}{\mathrm{Ti}}_{2}{\mathrm{O}}_{7} ?” Phys. Rev. Lett. 115
2015
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2012
Cited alongside, same era.
T. Fennell, M. Kenzelmann, B. Roessli, M. K. Haas, and R. J. Cava, “Power-Law Spin Correlations in the Pyrochlore Antiferromagnet Tb 2 Ti 2 O 7 {\mathrm{Tb}}_{2}{\mathrm{Ti}}_{2}{\mathrm{O}}_{7} ,” Phys. Rev. Lett. 109
2012
Cited alongside, same era.
Lieh-Jeng Chang, Shigeki Onoda, Yixi Su, Ying-Jer Kao, Ku-Ding Tsuei, Yukio Yasui, Kazuhisa Kakurai, and Martin Richard Lees, “Higgs transition from a magnetic Coulomb liquid to a ferromagnet in Yb 2 Ti 2 O 7 ,” Nature Communications 3
2012
Cited alongside, same era.
Nic Shannon, Olga Sikora, Frank Pollmann, Karlo Penc, and Peter Fulde, “Quantum Ice: A Quantum Monte Carlo Study,” Phys. Rev. Lett. 108
2012
Cited alongside, same era.
Owen Benton, Olga Sikora, and Nic Shannon, “Seeing the light: Experimental signatures of emergent electromagnetism in a quantum spin ice,” Phys. Rev. B 86
2012
Cited alongside, same era.
R. Applegate, N. R. Hayre, R. R. P. Singh, T. Lin, A. G. R. Day, and M. J. P. Gingras, “Vindication of Yb 2 Ti 2 O 7 {\mathrm{Yb}}_{2}{\mathrm{Ti}}_{2}{\mathrm{O}}_{7} as a Model Exchange Quantum Spin Ice,” Phys. Rev. Lett. 109
2012
Cited alongside, same era.
Hiroshi Takatsu, Hiroaki Kadowaki, Taku J Sato, Jeffrey W Lynn, Yoshikazu Tabata, Teruo Yamazaki, and Kazuyuki Matsuhira, “Quantum spin fluctuations in the spin-liquid state of Tb 2 Ti 2 O 7 ,” Journal of Physics: Condensed Matter 24
2012
Cited alongside, same era.
Lucile Savary and Leon Balents, “Spin liquid regimes at nonzero temperature in quantum spin ice,” Phys. Rev. B 87
2013
Cited alongside, same era.
2015
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Yasuyuki Kato and Shigeki Onoda, “Numerical Evidence of Quantum Melting of Spin Ice: Quantum-to-Classical Crossover,” Phys. Rev. Lett. 115
2015
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Jian-Ping Lv, Gang Chen, Youjin Deng, and Zi Yang Meng, “Coulomb Liquid Phases of Bosonic Cluster Mott Insulators on a Pyrochlore Lattice,” Phys. Rev. Lett. 115
2015
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Lucile Savary and Leon Balents, “Quantum spin liquids: a review,” Reports on Progress in Physics 80
2016
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Lucile Savary, Xiaoqun Wang, Hae-Young Kee, Yong Baek Kim, Yue Yu, and Gang Chen, “Quantum spin ice on the breathing pyrochlore lattice,” Phys. Rev. B 94
2016
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2016
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Chong Wang and T. Senthil, “Time-Reversal Symmetric U ( 1 ) U(1) Quantum Spin Liquids,” Phys. Rev. X 6
2016
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Yuji Matsuda, Unpublished (2016)
2016
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Yao-Dong Li and Gang Chen, “Symmetry enriched U ( 1 ) U(1) topological orders for dipole-octupole doublets on a pyrochlore lattice,” Phys. Rev. B 95
2017
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K. E. Arpino, B. A. Trump, A. O. Scheie, T. M. McQueen, and S. M. Koohpayeh, “Impact of stoichiometry of Yb 2 Ti 2 O 7 {\mathrm{Yb}}_{2}{\mathrm{Ti}}_{2}{\mathrm{O}}_{7} on its physical properties,” Phys. Rev. B 95
2017
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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, “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} ,” Phys. Rev. Lett. 118
2017
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2017
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2017
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Gang Chen, “Spectral periodicity of the spinon continuum in quantum spin ice,” Phys. Rev. B 96
2017
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Lucile Savary and Leon Balents, “Disorder-induced quantum spin liquid in spin ice pyrochlores,” Phys. Rev. Lett. 118
2017
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M. P. Kwasigroch, B. Douçot, and C. Castelnovo, “Semiclassical approach to quantum spin ice,” Phys. Rev. B 95
2017
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2017
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