Correlation effects on non-Hermitian point-gap topology in zero dimension: Reduction of topological classification

T Yoshida, Y Hatsugai - Physical Review B, 2021 - APS
We analyze a zero-dimensional correlated system with special emphasis on the non-
Hermitian point-gap topology protected by chiral symmetry. Our analysis elucidates that …

Reduction of one-dimensional non-Hermitian point-gap topology by interactions

T Yoshida, Y Hatsugai - Physical Review B, 2022 - APS
In spite of extensive works on non-Hermitian topology, interaction effects remain crucial
questions. We analyze correlated non-Hermitian systems with special emphasis on the one …

Fate of exceptional points under interactions: Reduction of topological classifications

T Yoshida, Y Hatsugai - Physical Review B, 2023 - APS
Despite recent extensive studies of the non-Hermitian topology, understanding interaction
effects is left as a crucial question. In this paper, we address interaction effects on …

Topological correspondence between hermitian and non-hermitian systems: Anomalous dynamics

JY Lee, J Ahn, H Zhou, A Vishwanath - Physical review letters, 2019 - APS
The hallmark of symmetry-protected topological phases is the existence of anomalous
boundary states, which can only be realized with the corresponding bulk system. In this …

Hidden Chern number in one-dimensional non-Hermitian chiral-symmetric systems

W Brzezicki, T Hyart - Physical Review B, 2019 - APS
We consider a class of one-dimensional non-Hermitian models with a special type of a chiral
symmetry which is related to pseudo-Hermiticity. We show that the topology of a Hamiltonian …

From Hermitian critical to non-Hermitian point-gapped phases

C Ortega-Taberner, M Hermanns - Physical Review B, 2023 - APS
Recent years have seen a growing interest in topological phases beyond the standard
paradigm of gapped isolated systems. One recent direction is to explore topological features …

From knots to exceptional points: Emergence of topological features in non-Hermitian systems with long-range coupling

SM Rafi-Ul-Islam, ZB Siu, MSH Razo, H Sahin… - Physical Review B, 2024 - APS
We present a study of complex energy braiding in a one-dimensional non-Hermitian system
with n th-order long-range asymmetrical coupling. Our work highlights the emergence of …

Bulk-boundary correspondence in point-gap topological phases

D Nakamura, T Bessho, M Sato - Physical Review Letters, 2024 - APS
A striking feature of non-Hermitian systems is the presence of two different types of topology.
One generalizes Hermitian topological phases, and the other is intrinsic to non-Hermitian …

Topological classification of non-Hermitian systems with reflection symmetry

CH Liu, H Jiang, S Chen - Physical Review B, 2019 - APS
We classify topological phases of non-Hermitian systems in the Altland-Zirnbauer classes
with an additional reflection symmetry in all dimensions. By mapping the non-Hermitian …

Periodic table for topological bands with non-Hermitian symmetries

H Zhou, JY Lee - Physical Review B, 2019 - APS
Classifications of symmetry-protected topological (SPT) phases provide a framework to
systematically understand the physical properties and potential applications of topological …