Corner modes in non-Hermitian next-nearest-neighbor hopping model

AK Ghosh, A Saha, T Nag - Physical Review B, 2024 - APS
We consider a non-Hermitian (NH) analog of a second-order topological insulator, protected
by chiral symmetry, in the presence of next-nearest-neighbor hopping elements to …

Corner modes in Non-Hermitian long-range model

AK Ghosh, A Saha, T Nag - arXiv preprint arXiv:2403.19765, 2024 - arxiv.org
We consider non-Hermitian (NH) analog of a second-order topological insulator, protected
by chiral symmetry, in the presence of second-nearest neighbor hopping elements to …

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 …

Real spectra in non-Hermitian topological insulators

K Kawabata, M Sato - Physical Review Research, 2020 - APS
Spectra of bulk or edges in topological insulators are often made complex by non-
Hermiticity. Here, we show that symmetry protection enables entirely real spectra for both …

Dual bulk-boundary correspondence in a nonreciprocal spin-orbit coupled zigzag lattice

L Li, C Hou, G Wu, Y Ruan, S Chen, L Yuan, Z Ni - Physical Review B, 2024 - APS
We unveil a relevant non-Hermitian symmetry and hence a dual bulk-boundary
correspondence (BBC) from a one-dimensional non-Hermitian Rice-Mele model including …

Analogous quadrupole topology induced by non-Hermiticity

Y Tian, Z Tan, W Zhang, X Han, C Cho - Physical Review B, 2023 - APS
Non-Hermiticity can alter the topological phases of Hermitian lattices and induce gapped
edge states and in-gap corner states for the topologically trivial structures in Hermitian …

Non-Hermitian topology in Hermitian topological matter

S Hamanaka, T Yoshida, K Kawabata - Physical Review Letters, 2024 - APS
Non-Hermiticity gives rise to distinctive topological phenomena absent in Hermitian systems.
However, connection between such intrinsic non-Hermitian topology and Hermitian topology …

Real-space topological invariant and higher-order topological Anderson insulator in two-dimensional non-Hermitian systems

H Liu, JK Zhou, BL Wu, ZQ Zhang, H Jiang - Physical Review B, 2021 - APS
We study the characterization and realization of higher-order topological Anderson insulator
(HOTAI) in non-Hermitian systems, where the non-Hermitian mechanism ensures extra …

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 …

Gauge-dependent topology in non-reciprocal hopping systems with pseudo-Hermitian symmetry

X Zhang, K Xu, C Liu, X Song, B Hou, R Yu… - Communications …, 2021 - nature.com
Energy conservation is not valid in non-Hermitian systems with gain/loss or non-reciprocity,
which leads to various extraordinary resonant characteristics. Compared with Hermitian …