Many-body topology of non-Hermitian systems

K Kawabata, K Shiozaki, S Ryu - Physical Review B, 2022 - APS
Non-Hermiticity gives rise to unique topological phases that have no counterparts in
Hermitian systems. Such intrinsic non-Hermitian topological phases appear even in one …

Many-body approach to non-Hermitian physics in fermionic systems

E Lee, H Lee, BJ Yang - Physical Review B, 2020 - APS
In previous studies, the topological invariants of one-dimensional non-Hermitian systems
have been defined in open boundary condition (OBC) to satisfy the bulk-boundary …

Interaction-induced non-Hermitian topological phases from a dynamical gauge field

WN Faugno, T Ozawa - Physical review letters, 2022 - APS
We present a minimal non-Hermitian model where a topologically nontrivial complex energy
spectrum is induced by interparticle interactions. Our model consists of a one-dimensional …

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 …

Competition between band topology and non-Hermiticity

J Cheng, X Zhang, MH Lu, YF Chen - Physical Review B, 2022 - APS
The introduction of non-Hermiticity to topological systems profoundly modifies their
topological properties, leading to unprecedented phenomena beyond the descriptions of …

Topological field theory of non-hermitian systems

K Kawabata, K Shiozaki, S Ryu - Physical review letters, 2021 - APS
Non-Hermiticity gives rise to unique topological phases without Hermitian analogs.
However, the effective field theory has yet to be established. Here, we develop a field …

Bulk-boundary correspondence in a non-Hermitian system in one dimension with chiral inversion symmetry

L Jin, Z Song - Physical Review B, 2019 - APS
Asymmetric coupling amplitudes effectively create an imaginary gauge field, which induces
a non-Hermitian Aharonov-Bohm (AB) effect. Nonzero imaginary magnetic flux invalidates …

Symmetry and topology in non-Hermitian physics

K Kawabata, K Shiozaki, M Ueda, M Sato - Physical Review X, 2019 - APS
Non-Hermiticity enriches topological phases beyond the existing Hermitian framework.
Whereas their unusual features with no Hermitian counterparts were extensively explored, a …

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 …

Edge states and topological invariants of non-Hermitian systems

S Yao, Z Wang - Physical review letters, 2018 - APS
The bulk-boundary correspondence is among the central issues of non-Hermitian
topological states. We show that a previously overlooked “non-Hermitian skin effect” …