Fetching the paper…
Reading the bibliography…
Topological phases, such as Chern insulators, are defined in terms of additive indices that are stable against the addition of trivial degrees of freedom.
J. Zak, “Band representations of space groups,” Phys. Rev. B 26
1982
Earlier work this paper cites.
H. Bacry, L. Michel, and J. Zak, “Symmetry and classification of energy bands in crystals,” in Group Theoretical Methods in Physics: Proceedings of the XVI International Colloquium Held at Varna, Bullgaria, June 15–20, 1987 , edited by Heinz-D. Doebner, Jörg-D. Hennig, and Tchavdar D. Palev (Springer Berlin Heidelberg, Berlin, Heidelberg, 1988) pp. 289–308
1988
Earlier work this paper cites.
L. Michel and J. Zak, “Elementary energy bands in crystalline solids,” Euro Phys. Lett. 50
2000
Earlier work this paper cites.
L Michel and J Zak, “Elementary energy bands in crystals are connected,” Phys. Rep. 341
2001
Earlier work this paper cites.
Christian Brouder, Gianluca Panati, Matteo Calandra, Christophe Mourougane, and Nicola Marzari, “Exponential localization of wannier functions in insulators,” Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
Liang Fu and C. L. Kane, “Topological insulators with inversion symmetry,” Phys. Rev. B 76
2007
Earlier work this paper cites.
Andreas P. Schnyder, Shinsei Ryu, Akira Furusaki, and Andreas W. W. Ludwig, “Classification of topological insulators and superconductors in three spatial dimensions,” Phys. Rev. B 78
2008
Earlier work this paper cites.
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
Earlier work this paper cites.
Joel E. Moore, Ying Ran, and Xiao-Gang Wen, “Topological surface states in three-dimensional magnetic insulators,” Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
Alexei Kitaev, “Periodic table for topological insulators and superconductors,” AIP Conference Proceedings 1134
2009
Earlier work this paper cites.
Shinsei Ryu, Andreas P Schnyder, Akira Furusaki, and Andreas W W Ludwig, “Topological insulators and superconductors: tenfold way and dimensional hierarchy,” New Journal of Physics 12
2010
Earlier work this paper cites.
Ari M. Turner, Yi Zhang, and Ashvin Vishwanath, “Entanglement and inversion symmetry in topological insulators,” Phys. Rev. B 82
2010
Earlier work this paper cites.
Lukasz Fidkowski, T. S. Jackson, and Israel Klich, “Model characterization of gapless edge modes of topological insulators using intermediate brillouin-zone functions,” Phys. Rev. Lett. 107
2011
Earlier work this paper cites.
Liang Fu, “Topological crystalline insulators,” Phys. Rev. Lett. 106
2011
Earlier work this paper cites.
Alexey A. Soluyanov and David Vanderbilt, “Wannier representation of 𝕫 2 {\mathbb{z}}_{2} topological insulators,” Phys. Rev. B 83
2011
Earlier work this paper cites.
Rui Yu, Xiao Liang Qi, Andrei Bernevig, Zhong Fang, and Xi Dai, “Equivalent expression of 𝕫 2 {\mathbb{z}}_{2} topological invariant for band insulators using the non-abelian berry connection,” Phys. Rev. B 84
2011
Cited alongside, same era.
Taylor L. Hughes, Emil Prodan, and B. Andrei Bernevig, “Inversion-symmetric topological insulators,” Phys. Rev. B 83
2011
Cited alongside, same era.
Nicola Marzari, Arash A. Mostofi, Jonathan R. Yates, Ivo Souza, and David Vanderbilt, “Maximally localized wannier functions: Theory and applications,” Rev. Mod. Phys. 84
2012
Cited alongside, same era.
Ari M. Turner, Yi Zhang, Roger S. K. Mong, and Ashvin Vishwanath, “Quantized response and topology of magnetic insulators with inversion symmetry,” Phys. Rev. B 85
2012
Cited alongside, same era.
Chen Fang, Matthew J. Gilbert, and B. Andrei Bernevig, “Bulk topological invariants in noninteracting point group symmetric insulators,” Phys. Rev. B 86
2017
Closest in time.
N. Read, “Compactly supported wannier functions and algebraic k k -theory,” Phys. Rev. B 95
2017
Closest in time.
K. Gomi, “Twists on the Torus Equivariant under the 2-Dimensional Crystallographic Point Groups,” SIGMA 13
2017
Closest in time.
2017
Closest in time.
Hoi Chun Po, Ashvin Vishwanath, and Haruki Watanabe, “Symmetry-based indicators of band topology in the 230 space groups,” Nature Communications 8
2017
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2012
Cited alongside, same era.
Marcel Franz and Laurens Molenkamp, eds., Topological Insulators , Contemporary Concepts of Condensed Matter Science, Vol. 6 (Elsevier, 2013)
2013
Cited alongside, same era.
Daniel S. Freed and Gregory W. Moore, “Twisted equivariant matter,” Annales Henri Poincaré 14
2013
Cited alongside, same era.
R. Sakuma, “Symmetry-adapted wannier functions in the maximal localization procedure,” Phys. Rev. B 87
2013
Cited alongside, same era.
D.-L. Deng, S.-T. Wang, C. Shen, and L.-M. Duan, “Hopf insulators and their topologically protected surface states,” Phys. Rev. B 88
2013
Cited alongside, same era.
Maryam Taherinejad, Kevin F. Garrity, and David Vanderbilt, “Wannier center sheets in topological insulators,” Phys. Rev. B 89
2014
Cited alongside, same era.
A. Alexandradinata, Xi Dai, and B. Andrei Bernevig, “Wilson-loop characterization of inversion-symmetric topological insulators,” Phys. Rev. B 89
2014
Cited alongside, same era.
Yohei Fuji, Frank Pollmann, and Masaki Oshikawa, “Distinct trivial phases protected by a point-group symmetry in quantum spin chains,” Phys. Rev. Lett. 114
2015
Cited alongside, same era.
Barry Bradlyn, L. Elcoro, Jennifer Cano, M. G. Vergniory, Zhijun Wang, C. Felser, M. I. Aroyo, and B. Andrei Bernevig, “Topological quantum chemistry,” Nature 547
2017
Closest in time.
Kyounghwan Kim, Ashley DaSilva, Shengqiang Huang, Babak Fallahazad, Stefano Larentis, Takashi Taniguchi, Kenji Watanabe, Brian J. LeRoy, Allan H. MacDonald, and Emanuel Tutuc, “Tunable moiré bands and strong correlations in small-twist-angle bilayer graphene,” Proceedings of the National Academy of Sciences 114
2017
Closest in time.
M. G. Vergniory, L. Elcoro, Zhijun Wang, Jennifer Cano, C. Felser, M. I. Aroyo, B. Andrei Bernevig, and Barry Bradlyn, “Graph theory data for topological quantum chemistry,” Phys. Rev. E 96
2017
Closest in time.
2017
Closest in time.
2017
Closest in time.
Chunxiao Liu, Farzan Vafa, and Cenke Xu, “Symmetry-protected topological hopf insulator and its generalizations,” Phys. Rev. B 95
2017
Closest in time.
2017
Closest in time.
2018
Closest in time.