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We develop a nonperturbative approach to the bulk polarization of crystalline electric insulators in $d\geq1$ dimensions.
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Richard M. Martin and Gerardo Ortiz, “Recent developments in the theory of electric polarization in solids,” Solid State Communications 102
1997
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2014
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Meng Cheng, Michael Zaletel, Maissam Barkeshli, Ashvin Vishwanath, and Parsa Bonderson, “Translational symmetry and microscopic constraints on symmetry-enriched topological phases: A view from the surface,” Phys. Rev. X 6
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Gil Young Cho, Chang-Tse Hsieh, and Shinsei Ryu, “Anomaly manifestation of lieb-schultz-mattis theorem and topological phases,” Phys. Rev. B 96
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Raffaele Resta and David Vanderbilt, “Theory of polarization: A modern approach,” in Physics of Ferroelectrics: A Modern Perspective (Springer Berlin Heidelberg, Berlin, Heidelberg, 2007) pp. 31–68
2007
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Jason Alicea, “Monopole quantum numbers in the staggered flux spin liquid,” Phys. Rev. B 78
2008
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2008
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Michael Hermele, Ying Ran, Patrick A. Lee, and Xiao-Gang Wen, “Properties of an algebraic spin liquid on the kagome lattice,” Phys. Rev. B 77
2008
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Jeffrey C. Y. Teo, Liang Fu, and C. L. Kane, “Surface states and topological invariants in three-dimensional topological insulators: Application to bi 1 − x sb x {\text{bi}}_{1-x}{\text{sb}}_{x} ,” Phys. Rev. B 78
2008
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2008
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2008
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2017
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2017
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David Vanderbilt, “Berry phases in electronic structure theory: Electric polarization, orbital magnetization and topological insulators,” Cambridge University Press (2018), 10.1017/9781316662205
2018
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2018
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Ryan Thorngren and Dominic V. Else, “Gauging spatial symmetries and the classification of topological crystalline phases,” Phys. Rev. X 8
2018
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J. Nissinen and G. E. Volovik, “Tetrads in solids: from elasticity theory to topological quantum hall systems and weyl fermions,” Journal of Experimental and Theoretical Physics 127
2018
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2018
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2018
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2018
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J. Nissinen and G. E. Volovik, “Elasticity tetrads, mixed axial-gravitational anomalies, and ( 3 + 1 3+1 )-d quantum hall effect,” Phys. Rev. Research 1
2019
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Ze-Min Huang, Longyue Li, Jianhui Zhou, and Hong-Hao Zhang, “Torsional response and liouville anomaly in weyl semimetals with dislocations,” Phys. Rev. B 99
2019
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Xue-Yang Song, Chong Wang, Ashvin Vishwanath, and Yin-Chen He, “Unifying description of competing orders in two-dimensional quantum magnets,” Nature Communications 10
2019
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