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 …

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 …

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 …

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 …

Non-Hermitian systems and topology: A transfer-matrix perspective

FK Kunst, V Dwivedi - Physical Review B, 2019 - APS
Topological phases of Hermitian systems are known to exhibit intriguing properties such as
the presence of robust boundary states and the famed bulk-boundary correspondence …

Topological invariants and phase diagrams for one-dimensional two-band non-Hermitian systems without chiral symmetry

H Jiang, C Yang, S Chen - Physical Review A, 2018 - APS
We study topological properties of one-dimensional non-Hermitian systems without chiral
symmetry and give phase diagrams characterized by topological invariants ν E and ν tot …

Topological phases in non-hermitian aubry-andré-harper models

QB Zeng, YB Yang, Y Xu - Physical Review B, 2020 - APS
Topological phases have recently witnessed rapid progress in non-Hermitian systems. Here
we study a one-dimensional non-Hermitian Aubry-André-Harper (AAH) model with …

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 …

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 …