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We propose and prove a family of generalized Lieb-Schultz-Mattis (LSM) theorems for symmetry protected topological (SPT) phases on boson/spin models in any dimensions.
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Physics of three-dimensional bosonic topological insulators: Surface-deconfined criticality and quantized magnetoelectric effect ,
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Lattice homotopy constraints on phases of quantum magnets ,
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Lieb-schultz-mattis theorems for symmetry protected topological phases (2017), 1705.04691
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Topological phases protected by point group symmetry ,
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Anyon condensation and a generic tensor-network construction for symmetry-protected topological phases ,
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Reflection-symmetric second-order topological insulators and superconductors ,
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Quantized electric multipole insulators ,
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N. Regnault and T. Senthil, · 2013
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Integer quantum hall state in two-component bose gases in a synthetic magnetic field ,
S. Furukawa and M. Ueda, · 2013
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Quantum hall effect of two-component bosons at fractional and integral fillings ,
Y.-H. Wu and J. K. Jain, · 2013
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Bosonic topological insulator in three dimensions and the statistical witten effect ,
M. A. Metlitski, C. L. Kane and M. P. A. Fisher, · 2013
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Symmetry-protected topological phases with charge and spin symmetries: Response theory and dynamical gauge theory in two and three dimensions ,
P. Ye and J. Wang, · 2013
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Symmetry-protected topological phases from decorated domain walls ,
X. Chen, Y.-M. Lu and A. Vishwanath, · 2014
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Exact models for symmetry-protected topological phases in one dimension (2014), 1410.1580
S. D. Geraedts and O. I. Motrunich, · 2014
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(d- 2)-dimensional edge states of rotation symmetry protected topological states ,
Z. Song, Z. Fang and C. Fang, · 2017
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Symmetry-enforced quantum spin hall insulators in π \pi -flux models (2017), 1703.04776
J. Wu, T.-L. Ho and Y.-M. Lu, · 2017
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Lieb-schultz-mattis-type filling constraints in the 1651 magnetic space groups ,
H. Watanabe, · 2018
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Dyonic lieb-schultz-mattis theorem and symmetry protected topological phases in decorated dimer models ,
X. Yang, S. Jiang, A. Vishwanath and Y. Ran, · 2018
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Generalized homology and atiyah-hirzebruch spectral sequence in crystalline symmetry protected topological phenomena (2018), 1810.00801
K. Shiozaki, C. Z. Xiong and K. Gomi, · 2018
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Gauging spatial symmetries and the classification of topological crystalline phases ,
R. Thorngren and D. V. Else, · 2018
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Higher-order topological insulators ,
F. Schindler, A. M. Cook, M. G. Vergniory, Z. Wang, S. S. Parkin, B. A. Bernevig and T. Neupert, · 2018
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Symmetry indicators and anomalous surface states of topological crystalline insulators ,
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Minimalist approach to the classification of symmetry protected topological phases ,
C. Z. Xiong, · 2018
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Rotation symmetry-protected topological phases of fermions (2018), 1810.12308
M. Cheng and C. Wang, · 2018
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Symmetry enriched u(1) quantum spin liquids ,
L. Zou, C. Wang and T. Senthil, · 2018
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Bulk characterization of topological crystalline insulators: Stability under interactions and relations to symmetry enriched u u (1) quantum spin liquids ,
L. Zou, · 2018
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Fermionic lieb-schultz-mattis theorems and weak symmetry-protected phases ,
M. Cheng, · 2019
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Filling-enforced constraint on the quantized hall conductivity on a periodic lattice ,
Y.-M. Lu, Y. Ran and M. Oshikawa, · 2019
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Crystalline topological phases as defect networks ,
D. V. Else and R. Thorngren, · 2019
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Topological states from topological crystals ,
Z. Song, S.-J. Huang, Y. Qi, C. Fang and M. Hermele, · 2019
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New classes of topological crystalline insulators having surface rotation anomaly ,
C. Fang and L. Fu, · 2019
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Symmetry protected topological phases and generalized cohomology ,
D. Gaiotto and T. Johnson-Freyd, · 2019
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Spontaneous symmetry breaking from anyon condensation ,
M. Bischoff, C. Jones, Y.-M. Lu and D. Penneys, · 2019
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Real-space recipes for general topological crystalline states ,
Z. Song, C. Fang and Y. Qi, · 2020
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Classification and construction of higher-order symmetry-protected topological phases of interacting bosons ,
A. Rasmussen and Y.-M. Lu, · 2020
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Bosonic crystalline symmetry protected topological phases beyond the group cohomology proposal ,
H. Song, C. Z. Xiong and S.-J. Huang, · 2020
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