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The non-Hermitian skin effect is a unique feature of non-Hermitian systems, in which an extensive number of boundary modes appear under the open boundary conditions.
1901
Earlier work this paper cites.
1907
Earlier work this paper cites.
1911
Earlier work this paper cites.
1912
Earlier work this paper cites.
J. Wess and B. Zumino, “Consequences of anomalous ward identities,” Phys. Lett. B 37
1971
Earlier work this paper cites.
W. P. Su, J. R. Schrieffer, and A. J. Heeger, “Solitons in Polyacetylene,” Phys. Rev. Lett. 42
1979
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. Hatano and D. R. Nelson, “Localization Transitions in Non-Hermitian Quantum Mechanics,” Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
N. Hatano and D. R. Nelson, “Vortex pinning and non-Hermitian quantum mechanics,” Phys. Rev. B 56
1997
Earlier work this paper cites.
2003
Earlier work this paper cites.
J. C. Budich and E. J. Bergholtz, “Non-Hermitian Topological Sensors,” arXiv:2003.13699
2003
Earlier work this paper cites.
2004
Earlier work this paper cites.
2004
Earlier work this paper cites.
2005
Earlier work this paper cites.
2008
Earlier work this paper cites.
2008
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.
M. Z. Hasan and C. L. Kane, “Colloquium: Topological insulators,” Rev. Mod. Phys. 82
2010
Earlier work this paper cites.
J. 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.
X.-L. Qi and S.-C. Zhang, “Topological insulators and superconductors,” Rev. Mod. Phys. 83
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.
Y. C. Hu and T. L. Hughes, “Absence of topological insulator phases in non-Hermitian PT
2011
Earlier work this paper cites.
M. Sato, K. Hasebe, K. Esaki, and M. Kohmoto, “Time-Reversal Symmetry in Non-Hermitian Systems,” Prog. Theor. Phys. 127
2012
Earlier work this paper cites.
H. Schomerus, “Topologically protected midgap states in complex photonic lattices,” Opt. Lett. 38
2013
Earlier work this paper cites.
S. Malzard, C. Poli, and H. Schomerus, “Topologically Protected Defect States in Open Photonic Systems with Non-Hermitian Charge-Conjugation and Parity-Time Symmetry,” Phys. Rev. Lett. 115
2015
Earlier work this paper cites.
C. Poli, M. Bellec, U. Kuhl, F. Mortessagne, and H. Schomerus, “Selective enhancement of topologically induced interface states in a dielectric resonator chain,” Nat. Commun. 6
2015
Earlier work this paper cites.
J. M. Zeuner, M. C. Rechtsman, Y. Plotnik, Y. Lumer, S. Nolte, M. S. Rudner, M. Segev, and A. Szameit, “Observation of a Topological Transition in the Bulk of a Non-Hermitian System,” Phys. Rev. Lett. 115
2015
Earlier work this paper cites.
B. Zhen, C. W. Hsu, Y. Igarashi, L. Lu, I. Kaminer, A. Pick, S.-L. Chua, J. D. Joannopoulos, and M. Soljac̆ić, “Spawning rings of exceptional points out of Dirac cones,” Nature 525
2015
Earlier work this paper cites.
C.-K. Chiu, J. C. Y. Teo, A. P. Schnyder, and S. Ryu, “Classification of topological quantum matter with symmetries,” Rev. Mod. Phys. 88
2016
Earlier work this paper cites.
V. V. Konotop, J. Yang, and D. A. Zezyulin, “Nonlinear waves in 𝒫 𝒯 \mathcal{PT} -symmetric systems,” Rev. Mod. Phys. 88
2016
Earlier work this paper cites.
T. E. Lee, “Anomalous Edge State in a Non-Hermitian Lattice,” Phys. Rev. Lett. 116
2016
Earlier work this paper cites.
J. Langbehn, Y. Peng, L. Trifunovic, F. von Oppen, and P. W. Brouwer, “Reflection-Symmetric Second-Order Topological Insulators and Superconductors,” Phys. Rev. Lett. 119
2017
Earlier work this paper cites.
Z. Song, Z. Fang, and C. Fang, “ ( d − 2 ) \left(d-2\right) -Dimensional Edge States of Rotation Symmetry Protected Topological States,” Phys. Rev. Lett. 119
2017
Earlier work this paper 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
Earlier work this paper 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
Earlier work this paper 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
Earlier work this paper 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
Earlier work this paper cites.
P. St-Jean, V. Goblot, E. Galopin, A. Lemaître, T. Ozawa, L. Le Gratiet, I. Sagnes, J. Bloch, and A. Amo, “Lasing in topological edge states of a one-dimensional lattice,” Nat. Photon. 11
2017
Cited alongside, same era.
B. Bahari, A. Ndao, F. Vallini, A. El Amili, Y. Fainman, and B. Kanté, “Nonreciprocal lasing in topological cavities of arbitrary geometries,” Science 358
2017
Cited alongside, same era.
E. Khalaf, “Higher-order topological insulators and superconductors protected by inversion symmetry,” Phys. Rev. B 97
2018
Cited alongside, same era.
E. Khalaf, H. C. Po, A. Vishwanath, and H. Watanabe, “Symmetry Indicators and Anomalous Surface States of Topological Crystalline Insulators,” Phys. Rev. X 8
2018
Cited alongside, same era.
Z. Yan, F. Song, and Z. Wang, “Majorana Corner Modes in a High-Temperature Platform,” Phys. Rev. Lett. 121
2018
K. Kimura, T. Yoshida, and N. Kawakami, “Chiral-symmetry protected exceptional torus in correlated nodal-line semimetals,” Phys. Rev. B 100
2019
Later among the works it cites.
H. Zhou, J. Y. Lee, S. Liu, and B. Zhen, “Exceptional surfaces in 𝒫 𝒯 \mathcal{PT} -symmetric non-Hermitian photonic systems,” Optica 6
2019
Later among the works it cites.
C. H. Lee, L. Li, and J. Gong, “Hybrid Higher-Order Skin-Topological Modes in Nonreciprocal Systems,” Phys. Rev. Lett. 123
2019
Later among the works it cites.
M. Ezawa, “Non-Hermitian boundary and interface states in nonreciprocal higher-order topological metals and electrical circuits,” Phys. Rev. B 99
2019
Later among the works it cites.
F. K. Kunst and V. Dwivedi, “Non-Hermitian systems and topology: A transfer-matrix perspective,” Phys. Rev. B 99
2019
Later among the works it cites.
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Cited alongside, same era.
A. Matsugatani and H. Watanabe, “Connecting higher-order topological insulators to lower-dimensional topological insulators,” Phys. Rev. B 98
2018
Cited alongside, same era.
M. Serra-Garcia, V. Peri, R. Süsstrunk, O. R. Bilal, T. Larsen, L. G. Villanueva, and S. D. Huber, “Observation of a phononic quadrupole topological insulator,” Nature 555
2018
Cited alongside, same era.
S. Imhof, C. Berger, F. Bayer, J. Brehm, L. W. Molenkamp, T. Kiessling, F. Schindler, C. H. Lee, M. Greiter, T. Neupert, and R. Thomale, “Topolectrical-circuit realization of topological corner modes,” Nat. Phys. 14
2018
Cited alongside, same era.
W. A. Benalcazar C. W. Peterson, T. L. Hughes, and G. Bahl, “A quantized microwave quadrupole insulator with topologically protected corner states,” Nature 555
2018
Cited alongside, same era.
R. El-Ganainy, K. G. Makris, M. Khajavikhan, Z. H. Musslimani, S. Rotter, and D. N. Christodoulides, “Non-Hermitian physics and PT symmetry,” Nat. Phys. 14
2018
Cited alongside, same era.
Y. Xiong, “Why does bulk boundary correspondence fail in some non-hermitian topological models,” J. Phys. Commun. 2
2018
Cited alongside, same era.
H. Shen, B. Zhen, and L. Fu, “Topological Band Theory for Non-Hermitian Hamiltonians,” Phys. Rev. Lett. 120
2018
Cited alongside, same era.
E. Edvardsson, F. K. Kunst, and E. J. Bergholtz, “Non-Hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence,” Phys. Rev. B 99
2019
Later among the works it cites.
H. Zhou and J. Y. Lee, “Periodic table for topological bands with non-Hermitian symmetries,” Phys. Rev. B 99
2019
Later among the works it cites.
Z. Zhang, M. Rosendo López, Y. Cheng, X. Liu, and J. Christensen, “Non-Hermitian Sonic Second-Order Topological Insulator,” Phys. Rev. Lett. 122
2019
Later among the works it cites.
K. Yokomizo and S. Murakami, “Non-Bloch Band Theory of Non-Hermitian Systems,” Phys. Rev. Lett. 123
2019
Later among the works it cites.
X.-W. Luo and C. Zhang, “Higher-Order Topological Corner States Induced by Gain and Loss,” Phys. Rev. Lett. 123
2019
Later among the works it cites.
P. A. McClarty and J. G. Rau, “Non-Hermitian topology of spontaneous magnon decay,” Phys. Rev. B 100
2019
Later among the works it cites.
N. Okuma and M. Sato, “Topological Phase Transition Driven by Infinitesimal Instability: Majorana Fermions in Non-Hermitian Spintronics,” Phys. Rev. Lett. 123
2019
Later among the works it cites.
E. J. Bergholtz and J. C. Budich, “Non-Hermitian Weyl physics in topological insulator ferromagnet junctions,” Phys. Rev. Research 1
2019
Later among the works it cites.
W. B. Rui, M. M. Hirschmann, and A. P. Schnyder, “ 𝒫 𝒯 \mathcal{PT} -symmetric non-Hermitian Dirac semimetals,” Phys. Rev. B 100
2019
Later among the works it cites.
K.-I. Imura and Y. Takane, “Generalized bulk-edge correspondence for non-Hermitian topological systems,” Phys. Rev. B 100
2019
Later among the works it cites.
A. Cerjan, S. Huang, K. P. Chen, Y. Chong, and M. C. Rechtsman, “Experimental realization of a Weyl exceptional ring,” Nat. Photon. 13
2019
Later among the works it cites.
H. Zhao, X. Qiao, T. Wu, B. Midya, S. Longhi, and L. Feng, “Non-Hermitian topological light steering,” Science 365
2019
Later among the works it cites.
M. Brandenbourger, X. Locsin, E. Lerner, and C. Coulais, “Non-reciprocal robotic metamaterials,” Nat. Commun. 10
2019
Later among the works it cites.
C. W. Peterson, T. Li, W. A. Benalcazar, T. L. Hughes, and G. Bahl, “A fractional corner anomaly reveals higher-order topology,” Science 368
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2020
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