Fetching the paper…
Reading the bibliography…
Non-Hermitian (NH) Hamiltonians have become an important asset for the effective description of various physical systems that are subject to dissipation.
A. Altland and M.R. Zirnbauer, Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures
1997
Earlier work this paper cites.
C.M. Bender and S. Boettcher, Real Spectra in Non-Hermitian Hamiltonians Having 𝒫 𝒯 \mathcal{P}\mathcal{T} Symmetry
1998
Earlier work this paper cites.
D. Bernard and A. LeClair, A Classification of Non-Hermitian Random Matrices
2001
Earlier work this paper cites.
D. Bernard and A. LeClair, “A classification of non-hermitian random matrices,” in Statistical Field Theories
2002
Earlier work this paper cites.
M. Berry, Physics of Nonhermitian Degeneracies
2004
Earlier work this paper cites.
C.M. Bender, Making sense of non-Hermitian Hamiltonians
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
2008
Earlier work this paper cites.
M.S. Rudner and L.S. Levitov, Topological Transition in a Non-Hermitian Quantum Walk
2009
Earlier work this paper cites.
I. Rotter, A non-Hermitian Hamilton operator and the physics of open quantum systems
2009
Earlier work this paper cites.
M.Z. Hasan and C.L. Kane, Colloquium: Topological insulators
2010
Earlier work this paper cites.
X.-L. Qi and S.-C. Zhang, Topological insulators and superconductors
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.
W. D. Heiss, The physics of exceptional points
2012
Earlier work this paper cites.
D.C. Brody, Biorthogonal quantum mechanics
2013
Earlier work this paper cites.
T. O. Wehling, A. M. Black-Schaffer, and A. V. Balatsky, Dirac materials
2014
Earlier work this paper cites.
B. Zhu, R. Lü, and S. Chen, 𝒫 𝒯 \mathcal{P}\mathcal{T} symmetry in the non-Hermitian Su-Schrieffer-Heeger model with complex boundary potentials
2014
Earlier work this paper cites.
L. Lu, J.D. Joannopoulos, and M. Soljačić, Topological photonics
2014
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
2015
Earlier work this paper cites.
C. Yuce, Topological phase in a non-Hermitian 𝒫 𝒯 \mathcal{P}\mathcal{T} symmetric system
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
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
2015
Cited alongside, same era.
A. Bansil, H. Lin, and T. Das, Colloquium: Topological band theory
2016
Cited alongside, same era.
C.-K. Chiu, J. C. Y. Teo, A. P. Schnyder, and S. Ryu, Classification of topological quantum matter with symmetries
2016
Cited alongside, same era.
T.E. Lee, Anomalous Edge State in a Non-Hermitian Lattice
2016
Cited alongside, same era.
A.K. Harter, T.E. Lee, and Y.N. Joglekar, 𝒫 𝒯 \mathcal{PT} -breaking threshold in spatially asymmetric Aubry-André and Harper models: Hidden symmetry and topological states
2016
Cited alongside, same era.
S. Yao and Z. Wang, Edge states and topological invariants of non-Hermitian systems
2018
Closest in time.
K. Kawabata, K. Shiozaki, and M. Ueda, Anomalous helical edge states in a non-Hermitian Chern insulator
2018
Closest in time.
C. H. Lee and R. Thomale, Anatomy of skin modes and topology in non-Hermitian systems
2018
Closest in time.
R.A. Molina and J. Gonzalez, Surface and 3D Quantum Hall Effects from Engineering of Exceptional Points in Nodal-Line Semimetals
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
2018
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
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 parityÐtime-symmetric crystals
2016
Cited alongside, same era.
B Peng, S.K. Özdemir, M. Liertzer, W. Chen, J. Kramer, H. Yilmaz, J. Wiersig, S. Rotter, and L. Yang, Chiral modes and directional lasing at exceptional points
2016
Cited alongside, same era.
2017
Cited alongside, same era.
Y. Xu, S.-T. Wang, and L.-M. Duan, Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
2017
Cited alongside, same era.
D. Leykam, K.Y. Bliokh, C. Huang, Y.D. Chong, and F. Nori, Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
2017
Cited alongside, same era.
W. Chen, S.K. Özdemir, G. Zhao, J. Wiersig, and L. Yang, Exceptional points enhance sensing in an optical microcavity
2017
Cited alongside, same era.
N.P. Armitage, E.J. Mele, and A. Vishwanath, Weyl and Dirac semimetals in three-dimensional solids
2018
Cited alongside, same era.
S. Lieu, Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
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
2018
Closest in time.
H. Shen, B. Zhen, and L. Fu, Topological Band Theory for Non-Hermitian Hamiltonians
2018
Closest in time.
R. Wang, X.Z. Zhang, and Z. Song, Dynamical topological invariant for non-Hermitian Rice-Mele model
2018
Closest in time.
S. Malzard and H. Schomerus, Bulk and edge-state arcs in non-hermitian coupled-resonator arrays
2018
Closest in time.
Lieu, Simon, Topological symmetry classes for non-Hermitian models and connections to the bosonic Bogoliubov–de Gennes equation, Phys. Rev. B 98
2018
Closest in time.
L. Lu, Z. Wang, D. Ye, L. Ran, L. Fu, J. D. Joannopoulos, and M. Soljačić, Observation of bulk Fermi arc and polarization half charge from paired exceptional points
2018
Closest in time.
2018
Closest in time.
M. A. Bandres, S. Wittek, G. Harari, M. Parto, J. Ren, M. Segev, D. N. Christodoulides, and M. Khajavikhan, Topological insulator laser: Experiments
2018
Closest in time.
R. El-Ganainy, K.G. Makris, M. Khajavikhan, Z.H. Musslimani, S. Rotter, and D.N. Christodoulides, Non-Hermitian physics and PT symmetry
2018
Closest in time.
O. Türker and S. Moroz, Weyl nodal surfaces
2018
Closest in time.
2018
Closest in time.
H. Zhou, J. Y. Lee, S. Liu, and B. Zhen, Exceptional Surfaces in PT-Symmetric Photonic Systems
2018
Closest in time.
K. Kawabata, S. Higashikawa, Z. Gong, Y. Ashida, and M. Ueda, Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
2019
Closest in time.
R. Okugawa and T. Yokoyama, Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
2019
Closest in time.