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Asymmetric coupling amplitudes effectively create an imaginary gauge field, which induces a non-Hermitian Aharonov-Bohm (AB) effect.
W. P. Su, J. R. Schrieffer, and A. J. Heeger, Solitons in polyacetylene, Phys. Rev. Lett. 42
1979
Earlier work this paper cites.
N. Hatano and D. R. Nelson, Localization Transitions in Non-Hermitian Quantum Mechanics, Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
C. M. Bender and S. Boettcher, Real Spectra in Non-Hermitian Hamiltonians Having 𝒫 𝒯 \mathcal{PT} Symmetry, Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
M. Creutz, End States, Ladder Compounds, and Domain-Wall Fermions, Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
A. Y. Kitaev, Unpaired Majorana fermions in quantum wires, Phys. Usp. 44
2001
Earlier work this paper cites.
W. D. Heiss and H. L. Harney, The chirality of exceptional points, Eur. Phys. J. D 17
2001
Earlier work this paper cites.
C. Dembowski, H.-D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, H. Rehfeld, and A. Richter, Experimental Observation of the Topological Structure of Exceptional Points, Phys. Rev. Lett. 86
2001
Earlier work this paper cites.
S. Ryu and Y. Hatsugai, Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems, Phys. Rev. Lett. 89
2002
Earlier work this paper cites.
M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms. Nature 415
2002
Earlier work this paper cites.
A. Mostafazadeh, Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian, J. Math. Phys. 43
2002
Earlier work this paper cites.
S. Murakami, N. Nagaosa, and S.-C. Zhang, Spin-Hall Insulator, Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
M. V. Berry, Czech. J. Phys. 54
2004
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.
A. A. Mailybaev, O. N. Kirillov, and A. P. Seyranian, Geometric phase around exceptional points, Phys. Rev. A 72
2005
Earlier work this paper cites.
B. A. Bernevig, T. L. Hughes, and S. C. Zhang, Quantum spin Hall effect and topological phase transition in HgTe quantum wells, Science 314
2006
Earlier work this paper cites.
L. Fu and C. L. Kane, Topological insulators with inversion symmetry, Phys. Rev. B 76
2007
Earlier work this paper cites.
L. Fu, C. Kane, and E. Mele, Topological Insulators in Three Dimensions, Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
C. M. Bender, Making sense of non-Hermitian Hamiltonians, Rep. Prog. Phys. 70
2007
Earlier work this paper cites.
A. P. Schnyder, S. Ryu, A. Furusaki, and A. W. W. Ludwig, Classification of topological insulators and superconductors in three spatial dimensions, Phys. Rev. B 78
2008
Earlier work this paper cites.
K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, Beam Dynamics in PT Symmetric Optical Lattices, Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
S. Klaiman, U. Günther, and N. Moiseyev, Visualization of Branch Points in PT-Symmetric Waveguides, Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Optical Solitons in 𝒫 𝒯 \mathcal{PT} Periodic Potentials, Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
M. Müller and I. Rotter, Exceptional points in open quantum systems, J. Phys. A: Math. Theor. 41
2008
Earlier work this paper cites.
H. Zhang, C.-X. Liu, X.-L. Qi, X. Dai, Z. Fang, S.-C. Zhang, Topological Insulators in the Bi 2
2009
Earlier work this paper cites.
I. Rotter, A non-Hermitian Hamilton operator and the physics of open quantum systems, J. Phys. A 42
2009
Earlier work this paper cites.
A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, PT-Symmetry Breaking and Laser-Absorber Modes in Optical Scattering Systems, Phys. Rev. Lett. 103
2009
Earlier work this paper cites.
M. S. Rudner and L. S. Levitov, Topological Transition in a Non-Hermitian Quantum Walk, Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
S. Ryu, A. P. Schnyder, A. Furusaki, and A. W. W. Ludwig, Topological insulators and superconductors: tenfold way and dimensional hierarchy, New J. Phys. 12 065010 (2010)
2010
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.
C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Observation of parity–time symmetry in optics, Nat. Phys. 6
2010
Earlier work this paper cites.
Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, Coherent Perfect Absorbers: Time-Reversed Lasers, Phys. Rev. Lett. 105, 053901 (2010)
2010
Earlier work this paper cites.
G. Xu, H. Weng, Z. Wang, X. Dai, and Z. Fang, Chern Semimetal and the Quantized Anomalous Hall Effect in HgCr 2
2011
Earlier work this paper cites.
A. A. Burkov and L. Balents, Weyl semimetal in a topological insulator multilayer, Phys. Rev. Lett. 107
2011
Earlier work this paper cites.
X.-L. Qi and S.-C. Zhang, Topological insulators and superconductors, Rev. Mod. Phys. 83
2011
Earlier work this paper cites.
M. Hafezi, E. A. Demler, M. D. Lukin, and J. M. Taylor, Robust optical delay lines with topological protection, Nat. Phys. 7
2011
Earlier work this paper cites.
N. Moiseyev, Non-Hermitian Quantum Mechanics
2011
Earlier work this paper cites.
S. Diehl, E. Rico, M. A. Baranov, and P. Zoller, Topology by dissipation in atomic quantum wires, Nat. Phys. 7
2011
Earlier work this paper cites.
Y. C. Hu and T. L. Hughes, Absence of topological insulator phases in non-Hermitian PT-symmetric Hamiltonians, Phys. Rev. B 84
2011
Earlier work this paper cites.
K. Esaki, M. Sato, K. Hasebe, and M. Kohmoto, Edge states and topological phases in non-Hermitian systems, Phys. Rev. B 84
2011
Earlier work this paper cites.
R. Uzdin, A. Mailybaev, and N. Moiseyev, On the observability and asymmetry of adiabatic state flips generated by exceptional points, J. Phys. A 44
2011
Earlier work this paper cites.
S. M. Young, S. Zaheer, J. C. Y. Teo, C. L. Kane, E. J. Mele, and A. M. Rappe, Dirac Semimetal in Three Dimensions, Phys. Rev. Lett. 108
2012
Earlier work this paper cites.
Z. Wang, Y. Sun, X.-Q. Chen, C. Franchini, G. Xu, H. Weng, X. Dai, and Z. Fang, Dirac semimetal and topological phase transitions in A 3
2012
Earlier work this paper cites.
C.-E. Bardyn, M. A. Baranov, E. Rico, A. İmamoğlu, P. Zoller, and S. Diehl, Majorana modes in driven-dissipative atomic superfluids with a zero Chern number, Phys. Rev. Lett. 109
2012
Earlier work this paper cites.
L. Tarruell, D. Greif, T. Uehlinger, G. Jotzu, and T. Esslinger, Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice, Nature 483
2012
Earlier work this paper cites.
M. Liertzer, L. Ge, A. Cerjan, A. D. Stone, H. E. Türeci, and S. Rotter, Pump-Induced Exceptional Points in Lasers, Phys. Rev. Lett. 108
2012
Earlier work this paper cites.
K. Fang, Z. Yu, and S. Fan, Photonic Aharonov-Bohm Effect Based on Dynamic Modulation, Phys. Rev. Lett. 108
2012
Earlier work this paper cites.
K. Fang, Z. Yu, and S. Fan, Realizing effective magnetic field for photons by controlling the phase of dynamic modulation, Nat. Photon. 6
2012
Earlier work this paper cites.
W. D. Heiss, The physics of exceptional points, J. Phys. A 45
2012
Earlier work this paper cites.
K. Sun, W. V. Liu, A. Hemmerich, and S. Das Sarma, Topological semimetal in a fermionic optical lattice, Nat. Phys. 8
2012
Earlier work this paper cites.
Z. Liu, D. L. Kovrizhin, and E. J. Bergholtz, Bulk-edge correspondence in fractional Chern insulators, Phys. Rev. B 88
2013
Earlier work this paper cites.
Z. Wang, H. Weng, Q. Wu, X. Dai, and Z. Fang, Three-dimensional Dirac semimetal and quantum transport in Cd 3
2013
Earlier work this paper cites.
X.-J. Liu, K. T. Law, T. K. Ng, and P. A. Lee, Detecting Topological Phases in Cold Atoms, Phys. Rev. Lett. 111
2013
Earlier work this paper cites.
M. Atala, M. Aidelsburger, J. T. Barreiro, D. Abanin, Takuya Kitagawa, E. Demler, and I. Bloch, Direct measurement of the Zak phase in topological Bloch bands, Nat. Phys. 9
2013
Cited alongside, same era.
M. Aidelsburger, M. Atala, M. Lohse, J. T. Barreiro, B. Paredes, and I. Bloch, Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices, Phys. Rev. Lett. 111
2013
Cited alongside, same era.
A. Regensburger, M.-A. Miri, C. Bersch, J. Näger, G. Onishchukov, D. N. Christodoulides, and Ulf Peschel,Observation of Defect States in PT-Symmetric Optical Lattices, Phys. Rev. Lett. 110
2013
Cited alongside, same era.
G. Q. Liang and Y. D. Chong, Optical Resonator Analog of a Two-Dimensional Topological Insulator, Phys. Rev. Lett. 110
2013
Cited alongside, same era.
H. Schomerus, Topologically protected midgap states in complex photonic lattices, Opt. Lett. 38
L. Feng, R. El-Ganainy, and L. Ge, Non-Hermitian photonics based on parity–time symmetry, Nat. Photon. 11
2017
Later among the works it cites.
S. Weimann, M. Kremer, Y. Plotnik, Y. Lumer, S. Nolte, K. G. Makris, M. Segev, M. C. Rechtsman, and A. Szameit, Topologically protected bound states in photonic parity–time-symmetric crystals, Nat. Mater. 16
2017
Later among the works it cites.
C. A. Downing and G. Weick, Topological collective plasmons in bipartite chains of metallic nanoparticles, Phys. Rev. B 95
2017
Later among the works it cites.
L. Jin, P. Wang, and Z. Song, Su-Schrieffer-Heeger chain with one pair of PT-symmetric defects, Sci. Rep. 7
2017
Later among the works it cites.
M. Klett, H. Cartarius, D. Dast, J. Main, and G. Wunner, Relation between PT-symmetry breaking and topologically nontrivial phases in the Su-Schrieffer-Heeger and Kitaev models, Phys. Rev. A 95
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Cited alongside, same era.
X. Z. Zhang, Z. Song, Momentum-independent reflectionless transmission in the non-Hermitian time-reversal symmetric system, Ann. Phys. (N.Y.) 339
2013
Cited alongside, same era.
S.-D. Liang and G.-Y. Huang, Topological invariance and global Berry phase in non-Hermitian systems, Phys. Rev. A 87
2013
Cited alongside, same era.
J. M. Hou, Hidden-Symmetry-Protected Topological Semimetals on a Square Lattice, Phys. Rev. Lett. 111
2013
Cited alongside, same era.
D.-L. Deng, S.-T. Wang, and L.-M. Duan, Direct probe of topological order for cold atoms, Phys. Rev. A 90
2014
Cited alongside, same era.
Z. K. Liu, B. Zhou, Y. Zhang, Z. J. Wang, H. M. Weng, D. Prabhakaran, S.-K. Mo, Z. X. Shen, Z. Fang, X. Dai, Z. Hussain, and Y. L. Chen, Discovery of a Three-Dimensional Topological Dirac Semimetal, Na 3
2014
Cited alongside, same era.
L. Lu, J. D. Joannopoulos, and M. Soljačić, Topological photonics, Nat. Photon. 8
2014
Cited alongside, same era.
B. Peng, S. K. Ozdemir, F. Lei, F. Monifi, M. Gianfreda, G. L. Long, S. Fan, F. Nori, C. M. Bender, and L. Yang, Parity–time-symmetric whispering-gallery microcavities, Nat. Phys. 10
2014
Cited alongside, same era.
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Later among the works it cites.
H. Menke and M. M. Hirschmann, Topological quantum wires with balanced gain and loss, Phys. Rev. B 95
2017
Later among the works it cites.
L. Jin, Topological phases and edge states in a non-Hermitian trimerized optical lattice, Phys. Rev. A 96
2017
Later among the works it cites.
W. Hu, H. Wang, P. P. Shum, and Y. D. Chong, Exceptional points in a non-Hermitian topological pump, Phys. Rev. B 95
2017
Later among the works it cites.
J. González and R. A. Molina, Topological protection from exceptional points in Weyl and nodal-line semimetals, Phys. Rev. B 96
2017
Later among the works it cites.
L. Xiao, X. Zhan, Z. H. Bian, K. K. Wang, X. Zhang, X. P. Wang, J. Li, K. Mochizuki, D. Kim, N. Kawakami, W. Yi, H. Obuse, B. C. Sanders, and P. Xue, Observation of topological edge states in parity-time-symmetric quantum walks, Nat. Phys. 13
2017
Later among the works it cites.
D. Leykam, K. Y. Bliokh, C. Huang, Y. D. Chong, and F. Nori, Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems, Phys. Rev. Lett. 118
2017
Later among the works it cites.
Y. Xu, S.-T. Wang, and L.-M. Duan, Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas, Phys. Rev. Lett. 118
2017
Later among the works it cites.
L. Jin, P. Wang, and Z. Song, One-way light transport controlled by synthetic magnetic fluxes and PT-symmetric resonators, New J. Phys. 19
2017
Later among the works it cites.
A. U. Hassan, B. Zhen, M. Soljačić, M. Khajavikhan, and D. N. Christodoulides, Phys. Rev. Lett. 118
2017
Later among the works it cites.
L. Ge, Anomalous Minimum and Scaling Behavior of Localization Length Near an Isolated Flat Band, Ann. Phys. (Berlin) 529
2017
Later among the works it cites.
F. K. Kunst, G. van Miert, and E. J. Bergholtz, Lattice models with exactly solvable topological hinge and corner states, Phys. Rev. B 97
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2018
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M. A. Bandres, S. Wittek, G. Harari, M. Parto, J. Ren, M. Segev, D. Christodoulides, and M. Khajavikhan, Topological insulator laser: Experiments, Sciecne 359
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R. El-Ganainy, K. G. Makris, M. Khajavikhan, Z. H. Musslimani, S. Rotter, and D. N. Christodoulides, Nat. Phys. 14
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H. Zhao, P. Miao, M. H. Teimourpour, S. Malzard, R. El-Ganainy, H. Schomerus, and L. Feng, Topological hybrid silicon microlasers, Nat. Commun. 9
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M. Pan, H. Zhao, P. Miao, S. Longhi, and L. Feng, Photonic zero mode in a non-Hermitian photonic lattice, Nat. Commun. 9
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M. Parto, S. Wittek, H. Hodaei, G. Harari, M. A. Bandres, J. Ren, M. C. Rechtsman, M. Segev, D. N. Christodoulides, and M. Khajavikhan, Edge-Mode Lasing in 1D Topological Active Arrays, Phys. Rev. Lett. 120
2018
Closest in time.
S. Lieu, Topological phases in the non-Hermitian Su-Schrieffer-Heeger model, Phys. Rev. B 97
2018
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R. Wang, X. Z. Zhang, and Z. Song, Dynamical topological invariant for non-Hermitian Rice-Mele model, Phys. Rev. A 98
2018
Closest in time.
K. Kawabata, Y. Ashida, H. Katsura, and M. Ueda, Parity-time-symmetric topological superconductor, Phys. Rev. B 98
2018
Closest in time.
L. J. Lang, Y. Wang, H. Wang, and Y. D. Chong, Effects of Non-Hermiticity on Su-Schrieer-Heeger Defect States, Phys. Rev. B 98
2018
Closest in time.
W. Zhu, X. Fang, D. Li, Y. Sun, Y. Li, Y. Jing, and H. Chen, Simultaneous Observation of a Topological Edge State and Exceptional Point in an Open and Non-Hermitian Acoustic System, Phys. Rev. Lett. 121
2018
Closest in time.
H. Shen, B. Zhen, and L. Fu, Topological Band Theory for Non-Hermitian Hamiltonians, Phys. Rev. Lett. 120
2018
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A. Y. Song, P. B. Catrysse, and S. Fan, Broadband Control of Topological Nodes in Electromagnetic Fields, Phys. Rev. Lett. 120
2018
Closest in time.
C. Yuce, Edge states at the interface of non-Hermitian systems, Phys. Rev. A 97
2018
Closest in time.
C. Yin, H. Jiang, L. Li, R. Lü, and S. Chen, Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems, Phys. Rev. A 97
2018
Closest in time.
H. Shen and L. Fu, Quantum Oscillation from In-Gap States and a Non-Hermitian Landau Level Problem, Phys. Rev. Lett. 121
2018
Closest in time.
S. Lieu, Topological symmetry classes for non-Hermitian models and connections to the bosonic Bogoliubov-de Gennes equation, Phys. Rev. B 98
2018
Closest in time.
H. Jiang, C. Yang, and S. Chen, Topological invariants, phase diagrams and discrepancy for non-Hermitian systems without chiral symmetry, Phys. Rev. A 98
2018
Closest in time.
V. M. Martinez Alvarez, J. E. Barrios Vargas, and L. E. F. Foa Torres, Non-Hermitian robust edge states in one dimension: Anomalous localization and eigenspace condensation at exceptional points, Phys. Rev. B 97
2018
Closest in time.
Y. Xiong, Why does bulk boundary correspondence fail in some non-hermitian topological models, J. Phys. Commun. 2
2018
Closest in time.
F. K. Kunst, E. Edvardsson, J. C. Budich, and E. J. Bergholtz, Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems, Phys. Rev. Lett. 121
2018
Closest in time.
S. Yao and Z. Wang, Edge States and Topological Invariants of Non-Hermitian Systems, Phys. Rev. Lett. 121
2018
Closest in time.
Z. Gong, Y. Ashida, K. Kawabata, K. Takasan, S. Higashikawa, and M. Ueda, Topological phases of non-Hermitian systems, Phys. Rev. X 8
2018
Closest in time.
V. M. Martinez Alvarez, J. E. Barrios Vargas, M. Berdakin, and L. E. F. Foa Torres, Topological states of non-Hermitian systems, Eur. Phys. J. Special Topics, 1 (2018)
2018
Closest in time.
S. Yao, F. Song, and Z. Wang, Non-Hermitian Chern bands, Phys. Rev. Lett. 121
2018
Closest in time.
K. Kawabata, K. Shiozaki, and M. Ueda, Anomalous helical edge states in a non-Hermitian Chern insulator, Phys. Rev. B 98
2018
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2018
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L. Jin, Parity-time-symmetric coupled asymmetric dimers, Phys. Rev. A 97
2018
Closest in time.
T. Goldzak, A. A. Mailybaev, and Nimrod Moiseyev,Light Stops at Exceptional Points, Phys. Rev. Lett. 120
2018
Closest in time.
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Closest in time.
K. Ding, G. Ma, Z. Q. Zhang, and C. T. Chan, Experimental Demonstration of an Anisotropic Exceptional Point, Phys. Rev. Lett. 121
2018
Closest in time.
L. Jin and Z. Song, Incident Direction Independent Wave Propagation and Unidirectional Lasing, Phys. Rev. Lett. 121
2018
Closest in time.
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2018
Closest in time.