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We point out the experimental relevance and the detection scheme of symmetry enriched U(1) quantum spin liquids (QSLs) outside the perturbative spin-ice regime.
1901
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1912
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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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2001
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Xiao-Gang Wen, “Quantum orders and symmetric spin liquids,” Phys. Rev. B 65
2002
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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
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David A. Huse, Werner Krauth, R. Moessner, and S. L. Sondhi, “Coulomb and Liquid Dimer Models in Three Dimensions,” Phys. Rev. Lett. 91
2003
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Michael Hermele, Matthew P. Fisher, and Leon Balents, “Pyrochlore photons: The U(1) spin liquid in a S=1/2 three-dimensional frustrated magnet,” Physical Review B 69
2004
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Michael A. Levin and Xiao-Gang Wen, “String-net condensation: A physical mechanism for topological phases,” Phys. Rev. B 71
2005
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S. V. Isakov, R. Moessner, and S. L. Sondhi, “Why spin ice obeys the ice rules,” Phys. Rev. Lett. 95
2005
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O. I. Motrunich and T. Senthil, “Origin of artificial electrodynamics in three-dimensional bosonic models,” Physical Review B 71
2005
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Xiao-Gang Wen, Quantum Field Theory of Many-body Systems: From the Origin of Sound to an Origin of Light and Electrons (Oxford Graduate Texts) , reissue ed. (Oxford University Press, USA, 2007)
2007
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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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S. H. Curnoe, “Structural distortion and the spin liquid state in Tb 2 Ti 2 O 7 {\text{Tb}}_{2}{\text{Ti}}_{2}{\text{O}}_{7} ,” Phys. Rev. B 78
2008
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C. Castelnovo1, R. Moessner, and S. L. Sondhi, “Magnetic monopoles in spin ice,” Nature 451
2008
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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
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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
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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
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Shigeki Onoda, “Effective quantum pseudospin-1/2 model for yb pyrochlore oxides,” Journal of Physics: Conference Series 320
2011
Cited alongside, same era.
2011
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.
Yuan Wan and Oleg Tchernyshyov, “Quantum Strings in Quantum Spin Ice,” Phys. Rev. Lett. 108
2015
Later among the works it cites.
Xie Chen and Michael Hermele, “Symmetry fractionalization and anomaly detection in three-dimensional topological phases,” Phys. Rev. B 94
2016
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Owen Benton, “Quantum origins of moment fragmentation in Nd 2 Zr 2 O 7 {\mathrm{Nd}}_{2}{\mathrm{Zr}}_{2}{\mathrm{O}}_{7} ,” Phys. Rev. B 94
2016
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2016
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2012
Cited alongside, same era.
V. Khemani, R. Moessner, S. A. Parameswaran, and S. L. Sondhi, “Bionic coulomb phase on the pyrochlore lattice,” Phys. Rev. B 86
2012
Cited alongside, same era.
2012
Cited alongside, same era.
SungBin Lee, Shigeki Onoda, and Leon Balents, “Generic quantum spin ice,” Physical Review B 86
2012
Cited alongside, same era.
Andrew M. Essin and Michael Hermele, “Classifying fractionalization: Symmetry classification of gapped Z 2 {Z}_{2} spin liquids in two dimensions,” Phys. Rev. B 87
2013
Cited alongside, same era.
Andrej Mesaros and Ying Ran, “Classification of symmetry enriched topological phases with exactly solvable models,” Phys. Rev. B 87
2013
Cited alongside, same era.
K. Fritsch, E. Kermarrec, K. A. Ross, Y. Qiu, J. R. D. Copley, D. Pomaranski, J. B. Kycia, H. A. Dabkowska, and B. D. Gaulin, “Temperature and magnetic field dependence of spin-ice correlations in the pyrochlore magnet Tb 2 Ti 2 O 7 {\mathrm{Tb}}_{2}{\mathrm{Ti}}_{2}{\mathrm{O}}_{7} ,” Phys. Rev. B 90
2014
Cited alongside, same era.
E. Lhotel, S. R. Giblin, M. R. Lees, G. Balakrishnan, L. J. Chang, and Y. Yasui, “First-order magnetic transition in Yb 2 Ti 2 O 7 {\mathrm{Yb}}_{2}{\mathrm{Ti}}_{2}{\mathrm{O}}_{7} ,” Phys. Rev. B 89
2014
Cited alongside, same era.
2016
Later among the works it cites.
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
Later among the works it cites.
Étienne Lantagne-Hurtubise, Subhro Bhattacharjee, and R. Moessner, “Electric field control of emergent electrodynamics in quantum spin ice,” Phys. Rev. B 96
2017
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Mathieu Taillefumier, Owen Benton, Han Yan, L. D. C. Jaubert, and Nic Shannon, “Competing Spin Liquids and Hidden Spin-Nematic Order in Spin Ice with Frustrated Transverse Exchange,” Phys. Rev. X 7
2017
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Yao-Dong Li and Gang Chen, “Symmetry enriched U(1) topological orders for dipole-octupole doublets on a pyrochlore lattice,” Physical Review B 95
2017
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2017
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Owen Benton, “Instabilities of a u(1) quantum spin liquid in disordered non-kramers pyrochlores,” Phys. Rev. Lett. 121
2018
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Romain Sibille, Nicolas Gauthier, Han Yan, Monica Ciomaga Hatnean, Jacques Ollivier, Barry Winn, Uwe Filges, Geetha Balakrishnan, Michel Kenzelmann, Nic Shannon, and Tom Fennell, “Experimental signatures of emergent quantum electrodynamics in a quantum spin ice,” Nature Physics 14
2018
Later among the works it cites.
2018
Later among the works it cites.
Owen Benton, L. D. C. Jaubert, Rajiv R. P. Singh, Jaan Oitmaa, and Nic Shannon, “Quantum Spin Ice with Frustrated Transverse Exchange: From a π \pi -Flux Phase to a Nematic Quantum Spin Liquid,” Phys. Rev. Lett. 121
2018
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2018
Later among the works it cites.
Zheng Zhu, Itamar Kimchi, D. N. Sheng, and Liang Fu, “Robust non-Abelian spin liquid and a possible intermediate phase in the antiferromagnetic Kitaev model with magnetic field,” Phys. Rev. B 97
2018
Later among the works it cites.
Yang Qi, Chao-Ming Jian, and Chenjie Wang, “Folding approach to topological order enriched by mirror symmetry,” Phys. Rev. B 99
2019
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