Fetching the paper…
Reading the bibliography…
We study a two-dimensional (2D) tight-binding model of a topological crystalline insulator (TCI) protected by rotation symmetry.
R. B. Laughlin, “Quantized Hall conductivity in two dimensions,” Phys. Rev. B 23
1981
Earlier work this paper cites.
D. J. Thouless, “Quantization of particle transport,” Phys. Rev. B 27
1983
Earlier work this paper cites.
David J. Gross, Jeffrey A. Harvey, Emil Martinec, and Ryan Rohm, “Heterotic string theory (i). the free heterotic string,” Nuclear Physics B 256
1985
Earlier work this paper cites.
Michael V. Berry and R. J. Mondragon, “Neutrino billiards: time-reversal symmetry-breaking without magnetic fields,” Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences 412
1987
Earlier work this paper cites.
F. D. M. Haldane, “Model for a quantum Hall effect without Landau levels: Condensed-matter realization of the ”parity anomaly”,” Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
X. G. Wen and A. Zee, “Shift and spin vector: New topological quantum numbers for the Hall fluids,” Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
F. D. M. Haldane, “Stability of chiral Luttinger liquids and abelian quantum Hall states,” Phys. Rev. Lett. 74
1995
Earlier work this paper cites.
Nicola Marzari and David Vanderbilt, “Maximally localized generalized Wannier functions for composite energy bands,” Phys. Rev. B 56
1997
Earlier work this paper cites.
Paul E. Lammert and Vincent H. Crespi, “Topological phases in graphitic cones,” Phys. Rev. Lett. 85
2000
Earlier work this paper cites.
Xiao-Gang Wen, Quantum field theory of many-body systems: from the origin of sound to an origin of light and electrons (Oxford University Press, Oxford, 2004)
2004
Earlier work this paper cites.
Theo Hahn, International tables for crystallography, Vol. A. space-group symmetry (Springer, 2005)
2005
Earlier work this paper cites.
T. Thonhauser and David Vanderbilt, “Insulator/Chern-insulator transition in the Haldane model,” Phys. Rev. B 74
2006
Earlier work this paper cites.
Liang 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.
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.
Ying Ran, Ashvin Vishwanath, and Dung-Hai Lee, “Spin-charge separated solitons in a topological band insulator,” Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
Xiao-Liang Qi, Taylor L. Hughes, and Shou-Cheng Zhang, “Topological field theory of time-reversal invariant insulators,” Phys. Rev. B 78
2008
Earlier work this paper cites.
A. R. Akhmerov and C. W. J. Beenakker, “Boundary conditions for Dirac fermions on a terminated honeycomb lattice,” Phys. Rev. B 77
2008
Earlier work this paper cites.
Joel Moore, “Topological insulators: The next generation,” Nat. Phys. 5
2009
Earlier work this paper cites.
Alexei Kitaev, “Periodic table for topological insulators and superconductors,” in AIP Conference Proceedings , Vol. 1134 (AIP, 2009) pp. 22–30
2009
Earlier work this paper cites.
Andreas P. Schnyder, Shinsei Ryu, Akira Furusaki, and Andreas W. W. Ludwig, “Classification of topological insulators and superconductors,” in AIP Conference Proceedings , Vol. 1134 (AIP, 2009) pp. 10–21
2009
Earlier work this paper cites.
M Zahid Hasan and Charles L Kane, “Colloquium: topological insulators,” Rev. Mod. Phys. 82
2010
Earlier work this paper cites.
G. E. Volovik, “Topological superfluid 3 He-B in magnetic field and ising variable,” JETP Letters 91
2010
Earlier work this paper cites.
Jeffrey C. Y. Teo and C. L. Kane, “Topological defects and gapless modes in insulators and superconductors,” Phys. Rev. B 82
2010
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 J. Phys. 12
2010
Earlier work this paper cites.
Abhishek Roy and Michael Stone, “Fullerenes, zero-modes and self-adjoint extensions,” Journal of Physics A: Mathematical and Theoretical 43
2010
Cited alongside, same era.
Xiao-Liang Qi and Shou-Cheng Zhang, “Topological insulators and superconductors,” Rev. Mod. Phys. 83
2011
Cited alongside, same era.
Alexey A. Soluyanov and David Vanderbilt, “Wannier representation of 𝕫 2 {\mathbb{z}}_{2} topological insulators,” Phys. Rev. B 83
2011
Cited alongside, same era.
Liang Fu, “Topological crystalline insulators,” Phys. Rev. Lett. 106
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.
Motohiko Ezawa, “Hourglass fermion surface states in stacked topological insulators with nonsymmorphic symmetry,” Phys. Rev. B 94
2016
Later among the works it cites.
Ching-Kai Chiu, Jeffrey C. Y. Teo, Andreas P. Schnyder, and Shinsei Ryu, “Classification of topological quantum matter with symmetries,” Rev. Mod. Phys. 88
2016
Later among the works it cites.
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
Later among the works it cites.
Jorrit Kruthoff, Jan de Boer, Jasper van Wezel, Charles L. Kane, and Robert-Jan Slager, “Topological classification of crystalline insulators through band structure combinatorics,” Phys. Rev. X 7
2017
Later among the works it cites.
Josias Langbehn, Yang Peng, Luka Trifunovic, Felix von Oppen, and Piet W. Brouwer, “Reflection-symmetric second-order topological insulators and superconductors,” Phys. Rev. Lett. 119
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Timothy H. Hsieh, Hsin Lin, Junwei Liu, Wenhui Duan, Arun Bansil, and Liang Fu, “Topological crystalline insulators in the SnTe material class,” Nature Communications 3
2012
Cited alongside, same era.
Y Tanaka, Zhi Ren, T Sato, K Nakayama, S Souma, T Takahashi, Kouji Segawa, and Yoichi Ando, “Experimental realization of a topological crystalline insulator in SnTe,” Nature Physics 8
2012
Cited alongside, same era.
M. Sitte, A. Rosch, E. Altman, and L. Fritz, “Topological insulators in magnetic fields: Quantum Hall effect and edge channels with a nonquantized θ \theta term,” Phys. Rev. Lett. 108
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
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.
Michael Levin and Ady Stern, “Classification and analysis of two-dimensional abelian fractional topological insulators,” Phys. Rev. B 86
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.
2017
Later among the works it cites.
2017
Later among the works it cites.
Sheng-Jie Huang, Hao Song, Yi-Ping Huang, and Michael Hermele, “Building crystalline topological phases from lower-dimensional states,” Phys. Rev. B 96
2017
Later among the works it cites.
Jun-Won Rhim, Jan Behrends, and Jens H. Bardarson, “Bulk-boundary correspondence from the intercellular zak phase,” Phys. Rev. B 95
2017
Later among the works it cites.
Hoi Chun Po, Haruki Watanabe, and Ashvin Vishwanath, “Fragile topology and Wannier obstructions,” Phys. Rev. Lett. 121
2018
Closest in time.
2018
Closest in time.
Frank Schindler, Ashley M. Cook, Maia G. Vergniory, Zhijun Wang, Stuart S. P. Parkin, B. Andrei Bernevig, and Titus Neupert, “Higher-order topological insulators,” Science Advances 4
2018
Closest in time.
Eslam Khalaf, Hoi Chun Po, Ashvin Vishwanath, and Haruki Watanabe, “Symmetry indicators and anomalous surface states of topological crystalline insulators,” Phys. Rev. X 8
2018
Closest in time.
Eslam Khalaf, “Higher-order topological insulators and superconductors protected by inversion symmetry,” Phys. Rev. B 97
2018
Closest in time.
Max Geier, Luka Trifunovic, Max Hoskam, and Piet W. Brouwer, “Second-order topological insulators and superconductors with an order-two crystalline symmetry,” Phys. Rev. B 97
2018
Closest in time.
Guido van Miert and Carmine Ortix, “Higher-order topological insulators protected by inversion and rotoinversion symmetries,” Phys. Rev. B 98
2018
Closest in time.
Haruki Watanabe, Hoi Chun Po, and Ashvin Vishwanath, “Structure and topology of band structures in the 1651 magnetic space groups,” Science advances 4
2018
Closest in time.
Jennifer Cano, Barry Bradlyn, Zhijun Wang, L. Elcoro, M. G. Vergniory, C. Felser, M. I. Aroyo, and B. Andrei Bernevig, “Topology of disconnected elementary band representations,” Phys. Rev. Lett. 120
2018
Closest in time.
2018
Closest in time.
A. Alexandradinata and J. Höller, “No-go theorem for topological insulators and high-throughput identification of Chern insulators,” Phys. Rev. B 98
2018
Closest in time.
Ryan Thorngren and Dominic V. Else, “Gauging spatial symmetries and the classification of topological crystalline phases,” Phys. Rev. X 8
2018
Closest in time.
2018
Closest in time.
Luka Trifunovic and Piet W. Brouwer, “Higher-order bulk-boundary correspondence for topological crystalline phases,” Phys. Rev. X 9
2019
Closest in time.
Dominic V. Else, Hoi Chun Po, and Haruki Watanabe, “Fragile topological phases in interacting systems,” Phys. Rev. B 99
2019
Closest in time.