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We study the homotopy classification of symmetry representations to describe the bulk topological invariants protected by the combined operation of a two-fold rotation $C_{2z}$ and time-reversal $T$ symmetries.
A. Hatcher, Algebraic Topology (Cambridge University Press, 2002)
2002
Earlier work this paper cites.
M. Nakahara, Geometry, Topology and Physics (CRC Press, 2003)
2003
Earlier work this paper cites.
L. Fu and C. L. Kane, “Time reversal polarization and a Z 2 Z_{2} adiabatic spin pump,” Phys. Rev. B 74
2006
Earlier work this paper cites.
C. Brouder, G. Panati, M. Calandra, C. Mourougane, and N. Marzari, “Exponential localization of wannier functions in insulators,” Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
L. Fu, C. L. Kane, and E. J. Mele, “Topological insulators in three dimensions,” Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
S. Murakami, S. Iso, Y. Avishai, M. Onoda, and N. Nagaosa, “Tuning phase transition between quantum spin hall and ordinary insulating phases,” Phys. Rev. B 76
2007
Earlier work this paper cites.
X.-L. Qi, T. L. Hughes, and S.-C. Zhang, “Topological field theory of time-reversal invariant insulators,” Phys. Rev. B 78
2008
Earlier work this paper cites.
A. M. Essin, J. E. Moore, and D. Vanderbilt, “Magnetoelectric polarizability and axion electrodynamics in crystalline insulators,” Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
M. Z. Hasan and C. L. Kane, “Colloquium: topological insulators,” Reviews of Modern Physics 82
2010
Earlier work this paper cites.
Z. Wang, X.-L. Qi, and S.-C. Zhang, “Equivalent topological invariants of topological insulators,” New. J. Phys. 12
2010
Earlier work this paper cites.
X.-L. Qi and S.-C. Zhang, “Topological insulators and superconductors,” Reviews of Modern Physics 83
2011
Earlier work this paper cites.
T. L. Hughes, E. Prodan, and B. A. Bernevig, “Inversion-symmetric topological insulators,” Phys. Rev. B 83
2011
Earlier work this paper cites.
R. Yu, X.-L. Qi, A. Bernevig, Z. Fang, and X. Dai, “Equivalent expression of Z 2 Z_{2} topological invariant for band insulators using the non-abelian berry connection,” Phys. Rev. B 84
2011
Earlier work this paper cites.
A. M. Turner, Y. Zhang, R. S. K. Mong, and A. Vishwanath, “Quantized response and topology of magnetic insulators with inversion symmetry,” Phys. Rev. B 85
2012
Earlier work this paper cites.
F. Zhang, C. L. Kane, and E. J. Mele, “Surface state magnetization and chiral edge states on topological insulators,” Phys. Rev. Lett. 110
2013
Earlier work this paper cites.
T. Morimoto and A. Furusaki, “Weyl and dirac semimetals with Z 2 Z_{2} topological charge,” Phys. Rev. B 89
2014
Earlier work this paper cites.
Y. Ando and L. Fu, “Topological crystalline insulators and topological superconductors: from concepts to materials,” Annu. Rev. Condens. Matter Phys. 6
2015
Earlier work this paper cites.
C. Fang and L. Fu, “New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic,” Phys. Rev. B 91
2015
Earlier work this paper cites.
C. Fang, Y. Chen, H.-Y. Kee, and L. Fu, “Topological nodal line semimetals with and without spin-orbital coupling,” Phys. Rev. B 92
2015
Cited alongside, same era.
D. Varjas, F. de Juan, and Y.-M. Lu, “Bulk invariants and topological response in insulators and superconductors with nonsymmorphic symmetries,” Phys. Rev. B 92
2015
Cited alongside, same era.
C.-K. Chiu, J. C. Y. Teo, A. P. Schnyder, and S. Ryu, “Classification of topological quantum matter with symmetries,” Reviews of Modern Physics 88
2016
Cited alongside, same era.
K. Shiozaki, M. Sato, and K. Gomi, “Topological crystalline materials: General formulation, module structure, and wallpaper groups,” Phys. Rev. B 95
2017
Cited alongside, same era.
YX Zhao and Y Lu, “ P T PT -symmetric real dirac fermions and semimetals,” Phys. Rev. Lett. 118
2017
Cited alongside, same era.
M. Geier, L. Trifunovic, M. Hoskam, and P. W. Brouwer, “Second-order topological insulators and superconductors with an order-two crystalline symmetry,” Phys. Rev. B 97
2018
Closest in time.
M. Serra-Garcia, V. Peri, R. Süsstrunk, O. R. Bilal, T. Larsen, L. G. Villanueva, and S. D. Huber, “Observation of a phononic quadrupole topological insulator,” Nature 555
2018
Closest in time.
S. Imhof, C. Berger, F. Bayer, J. Brehm, L. W Molenkamp, T. Kiessling, F. Schindler, C. H. Lee, M. Greiter, T. Neupert, et al. , “Topolectrical-circuit realization of topological corner modes,” Nat. Phys. 14
2018
Closest in time.
2018
Closest in time.
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B. Bradlyn, L Elcoro, J. Cano, MG Vergniory, Z. Wang, C Felser, MI Aroyo, and B. A. Bernevig, “Topological quantum chemistry,” Nature 547
2017
Cited alongside, same era.
J. Langbehn, Y. Peng, L. Trifunovic, F. von Oppen, and P. W. Brouwer, “Reflection-symmetric second-order topological insulators and superconductors,” Phys. Rev. Lett. 119
2017
Cited alongside, same era.
Z. Song, Z. Fang, and C. Fang, “( d − 2 d-2 )-dimensional edge states of rotation symmetry protected topological states,” Phys. Rev. Lett. 119
2017
Cited alongside, same era.
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L. Trifunovic and P. Brouwer, “Bott periodicity for the topological classification of gapped states of matter with reflection symmetry,” Phys. Rev. B 96
2017
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Tomáš Bzdušek and Manfred Sigrist, “Robust doubly charged nodal lines and nodal surfaces in centrosymmetric systems,” Phys. Rev. B 96
2017
Cited alongside, same era.
N. Read, “Compactly supported wannier functions and algebraic k-theory,” Phys. Rev. B 95
2017
Cited alongside, same era.
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E. Khalaf, “Higher-order topological insulators and superconductors protected by inversion symmetry,” Phys. Rev. B 97
2018
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N. Varnava and D. Vanderbilt, “Surfaces of axion insulators,” arXiv:1809.02853 (2018)
2018
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Guido vanMiert and Carmine Ortix, “Higher-order topological insulators protected by inversion and rotoinversion symmetries,” Phys. Rev. B 98
2018
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X.-Q. Sun, S.-C. Zhang, and T. Bzdušek, “Conversion rules for weyl points and nodal lines in topological media,” Phys. Rev. Lett. 121
2018
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J. Ahn, S. Park, and B.-J. Yang, “Failure of Nielsen-Ninomiya theorem and fragile topology in two-dimensional systems with space-time inversion symmetry: Application to twisted bilayer graphene at magic angle,” Phys. Rev. X 9
2019
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L. Trifunovic and P. W. Brouwer, “Higher-order bulk-boundary correspondence for topological crystalline phases,” Phys. Rev. X 9
2019
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C. Yue, Y. Xu, Z. Song, H. Weng, Y.-M. Lu, C. Fang, and X. Dai, “Symmetry-enforced chiral hinge states and surface quantum anomalous hall effect in the magnetic axion insulator Bi 2-x
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