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Symmetry plays a fundamental role in our understanding of both conventional symmetry breaking phases and the more exotic quantum and topological phases of matter.
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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. A. Fisher, and Leon Balents, “Pyrochlore photons: The U(1) spin liquid in a S=1/2 three-dimensional frustrated magnet,” Phys. Rev. B 69
2004
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Giniyat Khaliullin, “Orbital Order and Fluctuations in Mott Insulators,” Prog. Theor. Phys. Supplement (2005), 10.1143/PTPS.160.155
2005
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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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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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Gang Chen and Leon Balents, “Spin-orbit effects in Na 4 Ir 3 O 8 : A hyper-kagome lattice antiferromagnet,” Phys. Rev. B 78
2008
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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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Zheng-Cheng Gu and Xiao-Gang Wen, “Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order,” Phys. Rev. B 80
2009
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G. Jackeli and G. Khaliullin, “Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models,” Phys. Rev. Lett. 102
2009
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M Zahid Hasan and Charles L Kane, “Colloquium: topological insulators,” Reviews of Modern Physics 82
2010
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Gang Chen, Rodrigo Pereira, and Leon Balents, “Exotic Phases Induced by Strong Spin-Orbit Coupling in Ordered Double Perovskites,” Phys. Rev. B 82
2010
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J. Lago, I. Živković, B. Z. Malkin, J. Rodriguez Fernandez, P. Ghigna, P. Dalmas de Réotier, A. Yaouanc, and T. Rojo, “CdEr 2
2010
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Xiao-Liang Qi and Shou-Cheng Zhang, “Topological insulators and superconductors,” Reviews of Modern Physics 83
2011
Cited alongside, same era.
Gang Chen and Leon Balents, “Spin-orbit coupling in d 2 {d}^{2} ordered double perovskites,” Phys. Rev. B 84
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
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Frank Pollmann, Erez Berg, Ari M. Turner, and Masaki Oshikawa, “Symmetry protection of topological phases in one-dimensional quantum spin systems,” Phys. Rev. B 85
2012
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Lucile Savary and Leon Balents, Phys. Rev. Lett. 108
2012
Cited alongside, same era.
M J P Gingras and P A McClarty, “Quantum spin ice: a search for gapless quantum spin liquids in pyrochlore magnets,” Reports on Progress in Physics 77
2014
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T. Senthil, “Symmetry-protected topological phases of quantum matter,” Annual Review of Condensed Matter Physics 6
2015
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Romain Sibille, Elsa Lhotel, Vladimir Pomjakushin, Chris Baines, Tom Fennell, and Michel Kenzelmann, “Candidate quantum spin liquid in the Ce 3 + {\mathrm{Ce}}^{3+} pyrochlore stannate Ce 2 Sn 2 O 7 {\mathrm{Ce}}_{2}{\mathrm{Sn}}_{2}{\mathrm{O}}_{7} ,” Phys. Rev. Lett. 115
2015
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Olga Petrova, Roderich Moessner, and S. L. Sondhi, “Hydrogenic states of monopoles in diluted quantum spin ice,” Phys. Rev. B 92
2015
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SungBin Lee, Shigeki Onoda, and Leon Balents, “Generic quantum spin ice,” Phys. Rev. B 86
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.
Andrej Mesaros and Ying Ran, “Classification of symmetry enriched topological phases with exactly solvable models,” Phys. Rev. B 87
2013
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.
Yi-Ping Huang, Gang Chen, and Michael Hermele, “Quantum Spin Ices and Topological Phases from Dipolar-Octupolar Doublets on the Pyrochlore Lattice,” Phys. Rev. Lett. 112
2014
Cited alongside, same era.
W. Witczak-Krempa, G. Chen, Y. B. Kim, and L. Balents, “Correlated Quantum Phenomena in the Strong Spin-Orbit Regime,” Annual Review of Condensed Matter Physics 5
2014
Cited alongside, same era.
2015
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E. Lhotel, S. Petit, S. Guitteny, O. Florea, M. Ciomaga Hatnean, C. Colin, E. Ressouche, M. R. Lees, and G. Balakrishnan, “Fluctuations and all-in all-out ordering in dipole-octupole Nd 2 Zr 2 O 7 ,” Phys. Rev. Lett. 115
2015
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A. Bertin, P. Dalmas de Réotier, B. Fåk, C. Marin, A. Yaouanc, A. Forget, D. Sheptyakov, B. Frick, C. Ritter, A. Amato, C. Baines, and P. J. C. King, “Nd 2 Sn 2 O 7 : An all-in all-out pyrochlore magnet with no divergence-free field and anomalously slow paramagnetic spin dynamics,” Phys. Rev. B 92
2015
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J. Xu, V. K. Anand, A. K. Bera, M. Frontzek, D. L. Abernathy, N. Casati, K. Siemensmeyer, and B. Lake, “Magnetic structure and crystal-field states of the pyrochlore antiferromagnet Nd 2 Zr 2 O 7 ,” Phys. Rev. B 92
2015
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M. Ciomaga Hatnean, M. R. Lees, O. A. Petrenko, D. S. Keeble, G. Balakrishnan, M. J. Gutmann, V. V. Klekovkina, and B. Z. Malkin, “Structural and magnetic investigations of single-crystalline neodymium zirconate pyrochlore Nd 2 Zr 2 O 7 ,” Phys. Rev. B 91
2015
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Yuan-Ming Lu and Ashvin Vishwanath, “Classification and properties of symmetry-enriched topological phases: Chern-simons approach with applications to Z 2 {Z}_{2} spin liquids,” Phys. Rev. B 93
2016
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Lucile Savary, Xiaoqun Wang, Hae-Young Kee, Yongbaek Kim, Yue Yu, and Gang Chen, “Quantum Spin Ice on the Breathing Pyrochlore Lattice,” Phys. Rev. B 94
2016
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S. Petit, E. Lhotel, B. Canals, M. Ciomaga Hatnean, J. Ollivier, H. Mutka, E. Ressouche, A.R. Wildes, M.R. Lees, and G. Balakrishnan, “Observation of magnetic fragmentation in spin ice,” Nature Physics advance online publication
2016
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