Fetching the paper…
Reading the bibliography…
In 2+1D, topological electromagnetic phases are defined as atomic-scale media which host photonic monopoles in the bulk band structure and respect bosonic symmetries.
Max Born and Kun Huang, Dynamical theory of crystal lattices (Clarendon Press, Oxford, 1954)
1954
Earlier work this paper cites.
J Hubbard, “The dielectric theory of electronic interactions in solids,” Proceedings of the Physical Society. Section A 68
1955
Earlier work this paper cites.
David S. Falk, “Effect of the lattice on dielectric properties of an electron gas,” Phys. Rev. 118
1960
Earlier work this paper cites.
David R. Penn, “Wave-number-dependent dielectric function of semiconductors,” Phys. Rev. 128
1962
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.
John Frederick Nye, Physical properties of crystals: their representation by tensors and matrices (Oxford University Press, New York, 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.
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.
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.
Yisong Zheng and Tsuneya Ando, “Hall conductivity of a two-dimensional graphite system,” Phys. Rev. B 65
2002
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.
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.
I. V. Lindell and A. H. Sihvola, “Realization of the pemc boundary,” IEEE Transactions on Antennas and Propagation 53
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.
F. D. M. Haldane and S. Raghu, “Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry,” Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
Zheng Wang, Yidong Chong, J. D. Joannopoulos, and Marin Soljacic, “Observation of unidirectional backscattering-immune topological electromagnetic states,” Nature 461
2009
Earlier work this paper cites.
M. Z. Hasan and C. L. Kane, “Colloquium: Topological insulators,” Rev. Mod. Phys. 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 Journal of Physics 12
2010
Earlier work this paper cites.
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
Earlier work this paper cites.
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
Earlier work this paper cites.
Nikitas Papasimakis, Zhiqiang Luo, Ze Xiang Shen, Francesco De Angelis, Enzo Di Fabrizio, Andrey E. Nikolaenko, and Nikolay I. Zheludev, “Graphene in a photonic metamaterial,” Opt. Express 18
2010
Earlier work this paper cites.
Joseph Maciejko, Taylor L. Hughes, and Shou-Cheng Zhang, “The quantum spin hall effect,” Annual Review of Condensed Matter Physics 2
2011
Earlier work this paper cites.
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
Earlier work this paper cites.
Netanel H. Lindner, Gil Refael, and Victor Galitski, “Floquet topological insulator in semiconductor quantum wells,” Nature Physics 7
2011
Earlier work this paper cites.
Liang Fu, “Topological crystalline insulators,” Phys. Rev. Lett. 106
2011
Earlier work this paper cites.
Taylor L. Hughes, Emil Prodan, and B. Andrei Bernevig, “Inversion-symmetric topological insulators,” Phys. Rev. B 83
2011
Cited alongside, same era.
Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu, and Xiao-Gang Wen, “Symmetry-protected topological orders in interacting bosonic systems,” Science 338
2012
Cited alongside, same era.
Yuan-Ming Lu and Ashvin Vishwanath, “Theory and classification of interacting integer topological phases in two dimensions: A chern-simons approach,” Phys. Rev. B 86
2012
Cited alongside, same era.
Rasoul Alaee, Mohamed Farhat, Carsten Rockstuhl, and Falk Lederer, “A perfect absorber made of a graphene micro-ribbon metamaterial,” Opt. Express 20
2012
Cited alongside, same era.
Robert-Jan Slager, Andrej Mesaros, Vladimir Juricic, and Jan Zaanen, “The space group classification of topological band-insulators,” Nature Physics 9
2012
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.
Barry Bradlyn, Jennifer Cano, Zhijun Wang, M. G. Vergniory, C. Felser, R. J. Cava, and B. Andrei Bernevig, “Beyond dirac and weyl fermions: Unconventional quasiparticles in conventional crystals,” Science 353
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.
Yakir Hadad, Vincenzo Vitelli, and Andrea Alu, “Solitons and propagating domain walls in topological resonator arrays,” ACS Photonics 4
2017
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
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.
Ashvin Vishwanath and T. Senthil, “Physics of three-dimensional bosonic topological insulators: Surface-deconfined criticality and quantized magnetoelectric effect,” Phys. Rev. X 3
2013
Cited alongside, same era.
Max A. Metlitski, C. L. Kane, and Matthew P. A. Fisher, “Bosonic topological insulator in three dimensions and the statistical witten effect,” Phys. Rev. B 88
2013
Cited alongside, same era.
T. Senthil and Michael Levin, “Integer quantum hall effect for bosons,” Phys. Rev. Lett. 110
2013
Cited alongside, same era.
Ling Lu, Liang Fu, John D. Joannopoulos, and Marin Soljacic, “Weyl points and line nodes in gyroid photonic crystals,” Nat Photon 7
2013
Cited alongside, same era.
M. Hafezi, S. Mittal, J. Fan, A. Migdall, and J. M. Taylor, “Imaging topological edge states in silicon photonics,” Nat Photon 7
2013
Cited alongside, same era.
Jerome Cayssol, Balazs Dora, Ferenc Simon, and Roderich Moessner, “Floquet topological insulators,” physica status solidi (RRL) – Rapid Research Letters 7
2013
Cited alongside, same era.
Later among the works it cites.
2017
Later among the works it cites.
Alexander B. Khanikaev and Gennady Shvets, “Two-dimensional topological photonics,” Nature Photonics 11
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.
Yu Guo, Meng Xiao, and Shanhui Fan, “Topologically protected complete polarization conversion,” Phys. Rev. Lett. 119
2017
Later among the works it cites.
S. A. Hassani Gangaraj, M. G. Silveirinha, and G. W. Hanson, “Berry phase, berry connection, and chern number for a continuum bianisotropic material from a classical electromagnetics perspective,” IEEE Journal on Multiscale and Multiphysics Computational Techniques 2
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.
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.
Hao Song, Sheng-Jie Huang, Liang Fu, and Michael Hermele, “Topological phases protected by point group symmetry,” Phys. Rev. X 7
2017
Later among the works it cites.
Tigran A. Sedrakyan, Victor M. Galitski, and Alex Kamenev, “Topological spin ordering via chern-simons superconductivity,” Phys. Rev. B 95
2017
Later among the works it cites.
Hoi Chun Po, Ashvin Vishwanath, and Haruki Watanabe, “Symmetry-based indicators of band topology in the 230 space groups,” Nature Communications 8
2017
Later among the works it cites.
Yan-Qing Zhu, Dan-Wei Zhang, Hui Yan, Ding-Yu Xing, and Shi-Liang Zhu, “Emergent pseudospin-1 maxwell fermions with a threefold degeneracy in optical lattices,” Phys. Rev. A 96
2017
Later among the works it cites.
2017
Later among the works it cites.
Tiantian Zhang, Zhida Song, A. Alexandradinata, Hongming Weng, Chen Fang, Ling Lu, and Zhong Fang, “Double-weyl phonons in transition-metal monosilicides,” Phys. Rev. Lett. 120
2018
Closest in time.
S. A. R. Horsley, “Topology and the optical dirac equation,” Phys. Rev. A 98
2018
Closest in time.
Junfei Li, Chen Shen, Ana Díaz-Rubio, Sergei A. Tretyakov, and Steven A. Cummer, “Systematic design and experimental demonstration of bianisotropic metasurfaces for scattering-free manipulation of acoustic wavefronts,” Nature Communications 9
2018
Closest in time.
Li-kun Shi and Justin C. W. Song, “Plasmon geometric phase and plasmon hall shift,” Phys. Rev. X 8
2018
Closest in time.
O. El Gawhary, T. Van Mechelen, and H. P. Urbach, “Role of radial charges on the angular momentum of electromagnetic fields: Spin- 3 / 2 3/2 light,” Phys. Rev. Lett. 121
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.
Akishi Matsugatani, Yuri Ishiguro, Ken Shiozaki, and Haruki Watanabe, “Universal relation among the many-body chern number, rotation symmetry, and filling,” Phys. Rev. Lett. 120
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.
Haiping Hu and Chuanwei Zhang, “Spin-1 topological monopoles in the parameter space of ultracold atoms,” Phys. Rev. A 98
2018
Closest in time.
Haiping Hu, Junpeng Hou, Fan Zhang, and Chuanwei Zhang, “Topological triply degenerate points induced by spin-tensor-momentum couplings,” Phys. Rev. Lett. 120
2018
Closest in time.
I. C. Fulga, L. Fallani, and M. Burrello, “Geometrically protected triple-point crossings in an optical lattice,” Phys. Rev. B 97
2018
Closest in time.
Xinsheng Tan, Dan-Wei Zhang, Qiang Liu, Guangming Xue, Hai-Feng Yu, Yan-Qing Zhu, Hui Yan, Shi-Liang Zhu, and Yang Yu, “Topological maxwell metal bands in a superconducting qutrit,” Phys. Rev. Lett. 120
2018
Closest in time.
Sarang Pendharker, Farid Kalhor, Todd Van Mechelen, Saman Jahani, Neda Nazemifard, Thomas Thundat, and Zubin Jacob, “Spin photonic forces in non-reciprocal waveguides,” Opt. Express 26
2018
Closest in time.