Fetching the paper…
Reading the bibliography…
We present a general approach to obtain effective field theories for topological crystalline insulators whose low-energy theories are described by massive Dirac fermions.
1901
Earlier work this paper cites.
1907
Earlier work this paper cites.
F. D. M. Haldane, “Effective harmonic-fluid approach to low-energy properties of one-dimensional quantum fluids,” Phys. Rev. Lett. 47
1981
Earlier work this paper cites.
Raoul Bott and Loring W. Tu, Differential forms in algebraic topology , Graduate Texts in mathematics No. 82 (Springer, New York, 1982)
1982
Earlier work this paper cites.
D. J. Thouless, “Quantization of particle transport,” Phys. Rev. B 27
1983
Earlier work this paper cites.
2003
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.
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.
James Simons and Dennis Sullivan, “Axiomatic characterization of ordinary differential cohomology,” Journal of Topology 1
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.
Zheng-Cheng Gu and Xiao-Gang Wen, “Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order,” Phys. Rev. B 80
2009
Earlier work this paper cites.
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.
Frank Pollmann, Ari M. Turner, Erez Berg, and Masaki Oshikawa, “Entanglement spectrum of a topological phase in one dimension,” Phys. Rev. B 81
2010
Earlier work this paper cites.
Lukasz Fidkowski and Alexei Kitaev, “Topological phases of fermions in one dimension,” Phys. Rev. B 83
2011
Earlier work this paper cites.
Ari M. Turner, Frank Pollmann, and Erez Berg, “Topological phases of one-dimensional fermions: An entanglement point of view,” Phys. Rev. B 83
2011
Earlier work this paper cites.
Norbert Schuch, David Pérez-García, and Ignacio Cirac, “Classifying quantum phases using matrix product states and projected entangled pair states,” Phys. Rev. B 84
2011
Earlier work this paper cites.
Liang Fu, “Topological crystalline insulators,” Phys. Rev. Lett. 106
2011
Earlier work this paper cites.
Michael Levin and Zheng-Cheng Gu, “Braiding statistics approach to symmetry-protected topological phases,” Phys. Rev. B 86
2012
Earlier work this paper cites.
2012
Earlier work this paper cites.
Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu, and Xiao-Gang Wen, “Symmetry protected topological orders and the group cohomology of their symmetry group,” Phys. Rev. B 87
2013
Earlier work this paper cites.
Jeffrey C. Y. Teo and Taylor L. Hughes, “Existence of majorana-fermion bound states on disclinations and the classification of topological crystalline superconductors in two dimensions,” Phys. Rev. Lett. 111
2013
Earlier work this paper cites.
2014
Earlier work this paper cites.
Dominic V. Else and Chetan Nayak, “Classifying symmetry-protected topological phases through the anomalous action of the symmetry on the edge,” Phys. Rev. B 90
2014
Earlier work this paper cites.
2014
Earlier work this paper cites.
Ken Shiozaki and Masatoshi Sato, “Topology of crystalline insulators and superconductors,” Phys. Rev. B 90
2014
Cited alongside, same era.
Hiroki Isobe and Liang Fu, “Theory of interacting topological crystalline insulators,” Phys. Rev. B 92
2015
Cited alongside, same era.
Yoichi Ando and Liang Fu, “Topological crystalline insulators and topological superconductors: From concepts to materials,” Annual Review of Condensed Matter Physics , Annual Review of Condensed Matter Physics 6
2015
Cited alongside, same era.
Srinidhi T. Ramamurthy and Taylor L. Hughes, “Patterns of electromagnetic response in topological semimetals,” Phys. Rev. B 92
2015
Cited alongside, same era.
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
Nicodemos Varnava and David Vanderbilt, “Surfaces of axion insulators,” Phys. Rev. B 98
2018
Later among the works it cites.
Xiao-Gang Wen, “Choreographed entanglement dances: Topological states of quantum matter,” Science 363
2019
Later among the works it cites.
Davide Gaiotto and Theo Johnson-Freyd, “Symmetry protected topological phases and generalized cohomology,” Journal of High Energy Physics 2019
2019
Later among the works it cites.
Zhida Song, Sheng-Jie Huang, Yang Qi, Chen Fang, and Michael Hermele, “Topological states from topological crystals,” Science Advances 5
2019
Later among the works it cites.
Nobuyuki Okuma, Masatoshi Sato, and Ken Shiozaki, “Topological classification under nonmagnetic and magnetic point group symmetry: Application of real-space atiyah-hirzebruch spectral sequence to higher-order topology,” Phys. Rev. B 99
2019
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Ken Shiozaki, Masatoshi Sato, and Kiyonori Gomi, “Topological crystalline materials: General formulation, module structure, and wallpaper groups,” Phys. Rev. B 95
2017
Cited alongside, same era.
Hoi Chun Po, Ashvin Vishwanath, and Haruki Watanabe, “Symmetry-based indicators of band topology in the 230 space groups,” Nature Communications 8
2017
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
Cited alongside, same era.
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
Cited alongside, same era.
Hao Song, Sheng-Jie Huang, Liang Fu, and Michael Hermele, “Topological phases protected by point group symmetry,” Phys. Rev. X 7
2017
Cited alongside, same era.
Sheng-Jie Huang, Hao Song, Yi-Ping Huang, and Michael Hermele, “Building crystalline topological phases from lower-dimensional states,” Phys. Rev. B 96
2017
Cited alongside, same era.
Shenghan Jiang and Ying Ran, “Anyon condensation and a generic tensor-network construction for symmetry-protected topological phases,” Phys. Rev. B 95
2017
Cited alongside, same era.
Later among the works it cites.
Dominic V. Else and Ryan Thorngren, “Crystalline topological phases as defect networks,” Phys. Rev. B 99
2019
Later among the works it cites.
J. Nissinen and G. E. Volovik, “Elasticity tetrads, mixed axial-gravitational anomalies, and ( 3 + 1 3+1 )-d quantum hall effect,” Phys. Rev. Research 1
2019
Later among the works it cites.
Junyeong Ahn and Bohm-Jung Yang, “Symmetry representation approach to topological invariants in C 2 z t {C}_{2z}t -symmetric systems,” Phys. Rev. B 99
2019
Later among the works it cites.
Zhaoxi Xiong, Classification and Construction of Topological Phases of Quantum Matter , Ph.D. thesis, Harvard University, Graduate School of Arts & Sciences (2019)
2019
Later among the works it cites.
Alex Rasmussen and Yuan-Ming Lu, “Classification and construction of higher-order symmetry-protected topological phases of interacting bosons,” Phys. Rev. B 101
2020
Later among the works it cites.
Sheng-Jie Huang, “4d beyond-cohomology topological phase protected by C 2 {C}_{2} symmetry and its boundary theories,” Phys. Rev. Research 2
2020
Later among the works it cites.
Po-Shen Hsin, Anton Kapustin, and Ryan Thorngren, “Berry phase in quantum field theory: Diabolical points and boundary phenomena,” Phys. Rev. B 102
2020
Later among the works it cites.
Itamar Hason, Zohar Komargodski, and Ryan Thorngren, “Anomaly Matching in the Symmetry Broken Phase: Domain Walls, CPT, and the Smith Isomorphism,” SciPost Phys. 8
2020
Later among the works it cites.
Roni Ilan, Adolfo G. Grushin, and Dmitry I. Pikulin, “Pseudo-electromagnetic fields in 3d topological semimetals,” Nature Reviews Physics 2
2020
Later among the works it cites.
Meng Guo, Kantaro Ohmori, Pavel Putrov, Zheyan Wan, and Juven Wang, “Fermionic finite-group gauge theories and interacting symmetric/crystalline orders via cobordisms,” Communications in Mathematical Physics 376
2020
Later among the works it cites.
Sheng-Jie Huang and Yi-Ting Hsu, “Faithful derivation of symmetry indicators: A case study for topological superconductors with time-reversal and inversion symmetries,” Phys. Rev. Research 3
2021
Closest in time.
Max Geier, Ion Cosma Fulga, and Alexander Lau, “Bulk-boundary-defect correspondence at disclinations in rotation-symmetric topological insulators and superconductors,” SciPost Phys. 10
2021
Closest in time.
2021
Closest in time.
Xue-Yang Song, Yin-Chen He, Ashvin Vishwanath, and Chong Wang, “Electric polarization as a nonquantized topological response and boundary luttinger theorem,” Phys. Rev. Research 3
2021
Closest in time.
2021
Closest in time.
Naren Manjunath and Maissam Barkeshli, “Crystalline gauge fields and quantized discrete geometric response for abelian topological phases with lattice symmetry,” Phys. Rev. Research 3
2021
Closest in time.
J. Nissinen, T. T. Heikkilä, and G. E. Volovik, “Topological polarization, dual invariants, and surface flat bands in crystalline insulators,” Phys. Rev. B 103
2021
Closest in time.
Dominic V. Else, Sheng-Jie Huang, Abhinav Prem, and Andrey Gromov, “Quantum many-body topology of quasicrystals,” Phys. Rev. X 11
2021
Closest in time.
2021
Closest in time.
Jiabin Yu and Chao-Xing Liu, “Chapter five - pseudo-gauge fields in dirac and weyl materials,” in Topological Insulator and Related Topics , Semiconductors and Semimetals, Vol. 108, edited by Lu Li and Kai Sun (Elsevier, 2021) pp. 195–224
2021
Closest in time.