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Band insulators appear in a crystalline system only when the filling -- the number of electrons per unit cell and spin projection -- is an integer.
Effect of time-reversal symmetry on energy bands of crystals
Herring, C · 1937
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Character tables for two space groups
Herring, C · 1942
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Two soluble models of an antiferromagnetic chain
Lieb, E., Schultz, T. & Mattis, D · 1961
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Theory of the insulating state
Kohn, W · 1964
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Exact Ground State of a Quantum-Mechanical Antiferromagnet
Shastry, B.S. & Sutherland, B · 1981
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Inhibited spontaneous emission in solid-state physics and electronics
Yablonovitch, E · 1987
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Strong localization of photons in certain disordered dielectric superlattices
John, S · 1987
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The space groups of axial crystals and quasicrystals
Rabson, D. A., Mermin, N. D., Rokhsar, D. S. & Wright, D. C · 1991
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The space groups of icosahedral quasicrystals and cubic, orthorhombic, monoclinic, and triclinic crystals
Mermin, N. D · 1992
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Theory of polarization of crystalline solids
King-Smith, R. D. & Vanderbilt, D · 1993
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Macroscopic polarization in crystalline dielectrics: the geometric phase approach
Resta, R · 1994
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Magnetization Plateaus in Spin Chains: “Haldane Gap” for Half-Integer Spins
Oshikawa, M., Yamanaka, M. & Affleck, I, · 1997
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Electronic level degeneracy in nonsymmorphic periodic or aperiodic crystals
König, A. & Mermin, N. D · 1997
Cited alongside, same era.
Electronic level degeneracy in nonsymmorphic periodic or aperiodic crystals
König, A. & Mermin, N. D · 1997
Cited alongside, same era.
Haldane Gap and Fractional Oscillations in Gated Josephson Arrays
Altman, E. & Auerbach, A · 1998
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Quantum-mechanical position operator in extended systems
Resta, R · 1998
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Connectivity of energy bands in crystals
Michel, L. & Zak, J · 1999
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Screw rotations and glide mirrors: Crystallography in Fourier space
König, A. & Mermin, N. D · 1999
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Why are insulators insulating and metals conducting?
Resta, R · 2002
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Insulator, conductor, and commensurability: A topological approach
Oshikawa, M · 2003
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Lieb-Schultz-Mattis in higher dimensions
Hastings, M. B · 2004
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Extending Luttinger’s theorem to Z 2 {Z}_{2} fractionalized phases of matter
Paramekanti, A. & Vishwanath, A · 2004
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Sufficient conditions for topological order in insulators
Hastings, M. B · 2005
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Fractalization drives crystalline states in a frustrated spin system
Sebastian, S. E. et al · 2008
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Screw rotations and glide mirrors: Crystallography in Fourier space
König, A. & Mermin, N. D · 1999
Cited alongside, same era.
Commensurability, excitation gap, and topology in quantum many-particle systems on a periodic lattice
Oshikawa, M · 2000
Cited alongside, same era.
1/3 Magnetization Plateau in SrCu 2 (BO ) 3 {}_{3}) ) 2
Onizuka, K. et al · 2000
Cited alongside, same era.
Magnetization plateaus of the Shastry-Sutherland model for SrCu 2 (BO ) 3 {}_{3}) ) 2
Momoi, T. & Totsuka, K · 2000
Cited alongside, same era.
Fourier-space crystallography as group cohomology
Rabson, D. A. & Fisher, B · 2001
Cited alongside, same era.
Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu 2 (BO ) 3 {}_{3}) ) 2
Kodama, K. et al · 2002
Cited alongside, same era.
Effective theory of magnetization plateaux in the shastry-sutherland lattice
Abendschein, A. & Capponi, S · 2008
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Theory of Magnetization Plateaux in the Shastry-Sutherland Model
Dorier, J., Schmidt, K. P. & Mila, F · 2008
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Fragile Mott Insulators
Yao, H. & Kivelson, S. A · 2010
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Symmetry protected topological orders and the group cohomology of their symmetry group (2011)
Chen, X., Gu, Z.-C., Liu, Z.-X. & Wen, X.-G · 2011
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Featureless and Non-Fractionalized Bose Insulator on the Honeycomb Lattice at 1/2 site-filling (2012)
Kimchi, I., Parameswaran, S. A., Turner, A. M. & Vishwanath, A · 2012
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Magnetostriction and magnetic texture to 100.75 Tesla in frustrated SrCu 2 (BO ) 3 {}_{3}) ) 2
Jaime, M. et al · 2012
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