Exceptional topology of non-Hermitian systems

EJ Bergholtz, JC Budich, FK Kunst - Reviews of Modern Physics, 2021 - APS
The current understanding of the role of topology in non-Hermitian (NH) systems and its far-
reaching physical consequences observable in a range of dissipative settings are reviewed …

Advances and applications on non-Hermitian topological photonics

Q Yan, B Zhao, R Zhou, R Ma, Q Lyu, S Chu, X Hu… - …, 2023 - degruyter.com
Non-Hermitian photonics and topological photonics, as new research fields in optics, have
attracted much attention in recent years, accompanying by a great deal of new physical …

Non-Hermitian skin effect and chiral damping in open quantum systems

F Song, S Yao, Z Wang - Physical review letters, 2019 - APS
One of the unique features of non-Hermitian Hamiltonians is the non-Hermitian skin effect,
namely, that the eigenstates are exponentially localized at the boundary of the system. For …

Non-Hermitian topological invariants in real space

F Song, S Yao, Z Wang - Physical review letters, 2019 - APS
The topology of non-Hermitian systems is drastically shaped by the non-Hermitian skin
effect, which leads to the generalized bulk-boundary correspondence and non-Bloch band …

Classification of exceptional points and non-Hermitian topological semimetals

K Kawabata, T Bessho, M Sato - Physical review letters, 2019 - APS
Exceptional points are universal level degeneracies induced by non-Hermiticity. Whereas
past decades witnessed their new physics, the unified understanding has yet to be obtained …

Second-order topological non-Hermitian skin effects

R Okugawa, R Takahashi, K Yokomizo - Physical Review B, 2020 - APS
Higher-order topology realizes topologically robust corner modes as a manifestation of
nontriviality. We theoretically propose non-Hermitian skin effects which stem from the …

Mirror skin effect and its electric circuit simulation

T Yoshida, T Mizoguchi, Y Hatsugai - Physical Review Research, 2020 - APS
We analyze the impacts of crystalline symmetry on non-Hermitian skin effects. Focusing on
mirror symmetry, we propose another type of skin effect, a mirror skin effect, which results in …

Topological classification of defects in non-Hermitian systems

CH Liu, S Chen - Physical Review B, 2019 - APS
We classify topological defects in non-Hermitian systems with point, real, and imaginary
gaps for all the Bernard-LeClair classes or generalized Bernard-LeClair classes in all …

Non-Hermitian higher-order Dirac semimetals

SAA Ghorashi, T Li, M Sato, TL Hughes - Physical Review B, 2021 - APS
In this Letter, we study three-dimensional non-Hermitian higher-order Dirac semimetals
(NHHODSMs). Our focus is on C 4-symmetric non-Hermitian systems where we investigate …

Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes

L Zhou - Physical Review B, 2020 - APS
Majorana edge modes are candidate elements of topological quantum computing. In this
paper, we propose a Floquet engineering approach to generate multiple non-Hermitian …