Fetching the paper…
Reading the bibliography…
Topological phases of matter arise in distinct fermionic and bosonic flavors.
Anri A Rukhadze and Viktor P Silin, “Electrodynamics of media with spatial dispersion,” Soviet Physics Uspekhi 4
1961
Earlier work this paper cites.
K. v. Klitzing, G. Dorda, and M. Pepper, “New method for high-accuracy determination of the fine-structure constant based on quantized hall resistance,” Phys. Rev. Lett. 45
1980
Earlier work this paper cites.
R. B. Laughlin, “Quantized hall conductivity in two dimensions,” Phys. Rev. B 23
1981
Earlier work this paper cites.
D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, “Quantized hall conductance in a two-dimensional periodic potential,” Phys. Rev. Lett. 49
1982
Earlier work this paper cites.
P Halevi and R Fuchs, “Generalised additional boundary condition for non-local dielectrics. i. reflectivity,” Journal of Physics C: Solid State Physics 17
1984
Earlier work this paper cites.
John Frederick Nye, Physical properties of crystals: their representation by tensors and matrices (Oxford university press, 1985)
1985
Earlier work this paper cites.
D. Boyanovsky, R. Blankenbecler, and R. Yahalom, “Physical origin of topological mass in 2 + 1 dimensions,” Nuclear Physics B 270
1986
Earlier work this paper cites.
Eduardo Fradkin, Elbio Dagotto, and Daniel Boyanovsky, “Physical realization of the parity anomaly in condensed matter physics,” Phys. Rev. Lett. 57
1986
Earlier work this paper cites.
Iwo Bialynicki-Birula and Zofia Bialynicka-Birula, “Berry’s phase in the relativistic theory of spinning particles,” Phys. Rev. D 35
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.
N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, “Laser beams with phase singularities,” Optical and Quantum Electronics 24
1992
Earlier work this paper cites.
Yasuhiro Hatsugai, “Chern number and edge states in the integer quantum hall effect,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
Stefan T Ivanov and Nikolay I Nikolaev, “Singular waves along the boundary of gyrotropic plasma,” Journal of Physics D: Applied Physics 29
1996
Earlier work this paper cites.
K. Ziegler, “Delocalization of 2d dirac fermions: The role of a broken supersymmetry,” Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
N. Read, “Lowest-landau-level theory of the quantum hall effect: The fermi-liquid-like state of bosons at filling factor one,” Phys. Rev. B 58
1998
Earlier work this paper cites.
G. V. Dunne, “Aspects of chern-simons theory,” in Aspects topologiques de la physique en basse dimension. Topological aspects of low dimensional systems , edited by A. Comtet, T. Jolicœur, S. Ouvry, and F. David (Springer Berlin Heidelberg, Berlin, Heidelberg, 1999) pp. 177–263
1999
Earlier work this paper cites.
J.R. Munkres, Topology , Featured Titles for Topology Series (Prentice Hall, Incorporated, 2000)
2000
Earlier work this paper cites.
I.M. Gelfand, S.V. Fomin, and R.A. Silverman, Calculus of Variations , Dover Books on Mathematics (Dover Publications, 2000)
2000
Earlier work this paper cites.
S. J. Gates Jr, M. T. Grisaru, M. Rocek, and W. Siegel, “Superspace, or One thousand and one lessons in supersymmetry,” arXiv:hep-th/0108200 (2001)
2001
Earlier work this paper cites.
David Hestenes, “Point groups and space groups in geometric algebra,” in Applications of Geometric Algebra in Computer Science and Engineering , edited by Leo Dorst, Chris Doran, and Joan Lasenby (Birkhäuser Boston, Boston, MA, 2002) pp. 3–34
2002
Earlier work this paper cites.
Yisong Zheng and Tsuneya Ando, “Hall conductivity of a two-dimensional graphite system,” Phys. Rev. B 65
2002
Earlier work this paper cites.
D Jaksch and P Zoller, “Creation of effective magnetic fields in optical lattices: the hofstadter butterfly for cold neutral atoms,” New Journal of Physics 5
2003
Earlier work this paper cites.
C. L. Kane and E. J. Mele, “Quantum spin hall effect in graphene,” Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
Zheng Wang and Shanhui Fan, “Optical circulators in two-dimensional magneto-optical photonic crystals,” Opt. Lett. 30
2005
Earlier work this paper cites.
B. Andrei Bernevig, Taylor L. Hughes, and Shou-Cheng Zhang, “Quantum spin hall effect and topological phase transition in hgte quantum wells,” Science 314
2006
Earlier work this paper cites.
S. Raghu and F. D. M. Haldane, “Analogs of quantum-hall-effect edge states in photonic crystals,” Phys. Rev. A 78
2008
Earlier work this paper cites.
Osamu Takayama, Lucian-Cornel Crasovan, Steffen Kjær Johansen, Dumitru Mihalache, David Artigas, and Lluis Torner, “Dyakonov surface waves: A review,” Electromagnetics 28
2008
Cited alongside, same era.
Zheng Wang, Yidong Chong, J. D. Joannopoulos, and Marin Soljacic, “Observation of unidirectional backscattering-immune topological electromagnetic states,” Nature 461
2009
Cited alongside, same era.
Y. Ikebe, T. Morimoto, R. Masutomi, T. Okamoto, H. Aoki, and R. Shimano, “Optical hall effect in the integer quantum hall regime,” Phys. Rev. Lett. 104
2010
Cited alongside, same era.
Jens Koch, Andrew A. Houck, Karyn Le Hur, and S. M. Girvin, “Time-reversal-symmetry breaking in circuit-qed-based photon lattices,” Phys. Rev. A 82
2010
Cited alongside, same era.
M. Z. Hasan and C. L. Kane, “Colloquium: Topological insulators,” Rev. Mod. Phys. 82
2010
Vladimir M Agranovich and Vitaly Ginzburg, Crystal optics with spatial dispersion, and excitons , Vol. 42 (Springer Science & Business Media, 2013)
2013
Later among the works it cites.
Julio Cesar Avila, Hermann Schulz-Baldes, and Carlos Villegas-Blas, “Topological Invariants of Edge States for Periodic Two-Dimensional Models,” Mathematical Physics, Analysis and Geometry 16
2013
Later among the works it cites.
S A R Horsley and T G Philbin, “Canonical quantization of electromagnetism in spatially dispersive media,” New Journal of Physics 16
2014
Later among the works it cites.
Gregor Jotzu, Michael Messer, Rémi Desbuquois, Martin Lebrat, Thomas Uehlinger, Daniel Greif, and Tilman Esslinger, “Experimental realization of the topological haldane model with ultracold fermions,” Nature 515
2014
Later among the works it cites.
Torsten Karzig, Charles-Edouard Bardyn, Netanel H. Lindner, and Gil Refael, “Topological polaritons,” Phys. Rev. X 5
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Abdullah Eroglu, Wave propagation and radiation in gyrotropic and anisotropic media (Springer Science & Business Media, 2010)
2010
Cited alongside, same era.
Wen-Yu Shan, Hai-Zhou Lu, and Shun-Qing Shen, “Effective continuous model for surface states and thin films of three-dimensional topological insulators,” New Journal of Physics 12
2010
Cited alongside, same era.
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
Cited alongside, same era.
Naoto Nagaosa, Jairo Sinova, Shigeki Onoda, A. H. MacDonald, and N. P. Ong, “Anomalous hall effect,” Rev. Mod. Phys. 82
2010
Cited alongside, same era.
M. Saffman, T. G. Walker, and K. Mølmer, “Quantum information with rydberg atoms,” Rev. Mod. Phys. 82
2010
Cited alongside, same era.
Xie Chen, Zheng-Xin Liu, and Xiao-Gang Wen, “Two-dimensional symmetry-protected topological orders and their protected gapless edge excitations,” Phys. Rev. B 84
2011
Cited alongside, same era.
Shun-Qing Shen, Wen-Yu Shan, and Hai-Zhou Lu, “Topological insulator and the dirac equation,” SPIN 01
2011
Cited alongside, same era.
2015
Later among the works it cites.
Zheng-Cheng Gu, Zhenghan Wang, and Xiao-Gang Wen, “Classification of two-dimensional fermionic and bosonic topological orders,” Phys. Rev. B 91
2015
Later among the works it cites.
Mário G. Silveirinha, “Chern invariants for continuous media,” Phys. Rev. B 92
2015
Later among the works it cites.
Konstantin Y. Bliokh and Franco Nori, “Transverse and longitudinal angular momenta of light,” Physics Reports 592
2015
Later among the works it cites.
Brian C. Hall, Lie Groups, Lie Algebras, and Representations , Graduate Texts in Mathematics, Vol. 222 (Springer International Publishing, Cham, 2015)
2015
Later among the works it cites.
A. Goban, C.-L. Hung, J. D. Hood, S.-P. Yu, J. A. Muniz, O. Painter, and H. J. Kimble, “Superradiance for atoms trapped along a photonic crystal waveguide,” Phys. Rev. Lett. 115
2015
Later among the works it cites.
Tian Lan, Liang Kong, and Xiao-Gang Wen, “Theory of (2+1)-dimensional fermionic topological orders and fermionic/bosonic topological orders with symmetries,” Phys. Rev. B 94
2016
Later among the works it cites.
Cheng He, Xiao-Chen Sun, Xiao-Ping Liu, Ming-Hui Lu, Yulin Chen, Liang Feng, and Yan-Feng Chen, “Photonic topological insulator with broken time-reversal symmetry,” Proceedings of the National Academy of Sciences 113
2016
Later among the works it cites.
Dafei Jin, Ling Lu, Zhong Wang, Chen Fang, John D. Joannopoulos, Marin Soljacic, Liang Fu, and Nicholas X. Fang, “Topological magnetoplasmon,” Nature Communications 7
2016
Later among the works it cites.
Michael Stone, “Berry phase and anomalous velocity of weyl fermions and maxwell photons,” International Journal of Modern Physics B 30
2016
Later among the works it cites.
Stephen M. Barnett, L. Allen, Robert P. Cameron, Claire R. Gilson, Miles J. Padgett, Fiona C. Speirits, and Alison M. Yao, “On the natures of the spin and orbital parts of optical angular momentum,” Journal of Optics 18
2016
Later among the works it cites.
Todd Van Mechelen and Zubin Jacob, “Universal spin-momentum locking of evanescent waves,” Optica 3
2016
Later among the works it cites.
Farid Kalhor, Thomas Thundat, and Zubin Jacob, “Universal spin-momentum locked optical forces,” Applied Physics Letters 108
2016
Later among the works it cites.
Tian-Sheng Zeng, W. Zhu, and D. N. Sheng, “Bosonic integer quantum hall states in topological bands with chern number two,” Phys. Rev. B 93
2016
Later among the works it cites.
2017
Later among the works it cites.
Yakir Hadad, Vincenzo Vitelli, and Andrea Alu, “Solitons and propagating domain walls in topological resonator arrays,” ACS Photonics 4
2017
Later among the works it cites.
2017
Later among the works it cites.
Alexey Slobozhanyuk, S. Hossein Mousavi, Xiang Ni, Daria Smirnova, Yuri S. Kivshar, and Alexander B. Khanikaev, “Three-dimensional all-dielectric photonic topological insulator,” Nat Photon 11
2017
Later among the works it cites.
Mário G. Silveirinha, “ 𝒫 ⋅ 𝒯 ⋅ 𝒟 \mathcal{P}\cdot{}\mathcal{T}\cdot{}\mathcal{D} symmetry-protected scattering anomaly in optics,” Phys. Rev. B 95
2017
Later among the works it cites.
Prashant Shekhar, Marek Malac, Vaibhav Gaind, Neda Dalili, Al Meldrum, and Zubin Jacob, “Momentum-resolved electron energy loss spectroscopy for mapping the photonic density of states,” ACS Photonics 4
2017
Later among the works it cites.
Li-kun Shi and Justin C. W. Song, “Plasmon geometric phase and plasmon hall shift,” Phys. Rev. X 8
2018
Closest in time.