Second-order topological phases in non-Hermitian systems

T Liu, YR Zhang, Q Ai, Z Gong, K Kawabata, M Ueda… - Physical review …, 2019 - APS
A d-dimensional second-order topological insulator (SOTI) can host topologically protected
(d-2)-dimensional gapless boundary modes. Here, we show that a 2D non-Hermitian SOTI …

Floquet second-order topological insulators in non-Hermitian systems

H Wu, BQ Wang, JH An - Physical Review B, 2021 - APS
Second-order topological insulator (SOTI) is featured with the presence of (d− 2)-
dimensional boundary states in d-dimension systems. The non-Hermiticity induced …

Topological states in a non-Hermitian two-dimensional Su-Schrieffer-Heeger model

C Yuce, H Ramezani - Physical Review A, 2019 - APS
A non-Hermitian topological insulator with a real spectrum is interesting in the theory of non-
Hermitian extension of topological systems. We find an experimentally realizable example of …

Hybrid skin-topological modes without asymmetric couplings

W Zhu, J Gong - Physical Review B, 2022 - APS
The non-Hermitian skin effect (NHSE) in non-Hermitian lattice systems, associated with a
point gap on the complex energy plane, has attracted great theoretical and experimental …

Gain-and loss-induced topological insulating phase in a non-Hermitian electrical circuit

S Liu, S Ma, C Yang, L Zhang, W Gao, YJ Xiang… - Physical Review …, 2020 - APS
There have been considerable efforts devoted to the study of topological phases in certain
non-Hermitian systems that possess real eigenfrequencies in the presence of gain and loss …

Non-Hermitian route to higher-order topology in an acoustic crystal

H Gao, H Xue, Z Gu, T Liu, J Zhu, B Zhang - Nature communications, 2021 - nature.com
Topological phases of matter are classified based on their Hermitian Hamiltonians, whose
real-valued dispersions together with orthogonal eigenstates form nontrivial topology. In the …

Observation of higher-order non-Hermitian skin effect

X Zhang, Y Tian, JH Jiang, MH Lu, YF Chen - Nature communications, 2021 - nature.com
Beyond the scope of Hermitian physics, non-Hermiticity fundamentally changes the
topological band theory, leading to interesting phenomena, eg, non-Hermitian skin effect, as …

Exceptional topological insulators

MM Denner, A Skurativska, F Schindler… - Nature …, 2021 - nature.com
We introduce the exceptional topological insulator (ETI), a non-Hermitian topological state of
matter that features exotic non-Hermitian surface states which can only exist within the three …

Non-Hermitian higher-order topological states in nonreciprocal and reciprocal systems with their electric-circuit realization

M Ezawa - Physical Review B, 2019 - APS
A prominent feature of some one-dimensional non-Hermitian systems is that all right
eigenstates of the non-Hermitian Hamiltonian are localized in one end of the chain. The …

Higher-order topological insulators and semimetals in generalized Aubry-André-Harper models

QB Zeng, YB Yang, Y Xu - Physical Review B, 2020 - APS
Higher-order topological phases of matter have been extensively studied in various areas of
physics. While the Aubry-André-Harper model provides a paradigmatic example to study …