Fermion doubling theorems in two-dimensional non-Hermitian systems for Fermi points and exceptional points

Z Yang, AP Schnyder, J Hu, CK Chiu - Physical Review Letters, 2021 - APS
The fermion doubling theorem plays a pivotal role in Hermitian topological materials. It
states, for example, that Weyl points must come in pairs in three-dimensional semimetals …

Classification of exceptional points and non-Hermitian topological semimetals

K Kawabata, T Bessho, M Sato - Physical review letters, 2019 - APS
Exceptional points are universal level degeneracies induced by non-Hermiticity. Whereas
past decades witnessed their new physics, the unified understanding has yet to be obtained …

Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence

H Wang, J Ruan, H Zhang - Physical Review B, 2019 - APS
Recently, topological quantum states of non-Hermitian systems, exhibiting rich, new exotic
states, have attracted great attention in condensed-matter physics. As for the demonstration …

Non-Hermitian Hopf-link exceptional line semimetals

Z Yang, J Hu - Physical Review B, 2019 - APS
We study a new class of non-Hermitian topological phases in three dimensions in the
absence of any symmetry, where the topological robust band degeneracies are Hopf-link …

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 …

Symmetry-protected nodal phases in non-Hermitian systems

JC Budich, J Carlström, FK Kunst, EJ Bergholtz - Physical Review B, 2019 - APS
Non-Hermitian (NH) Hamiltonians have become an important asset for the effective
description of various physical systems that are subject to dissipation. Motivated by recent …

Flat band in disorder-driven non-Hermitian Weyl semimetals

AA Zyuzin, AY Zyuzin - Physical Review B, 2018 - APS
We study the interplay of disorder and band-structure topology in a Weyl semimetal with a
tilted conical spectrum around the Weyl points. The spectrum of particles is given by the …

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 …

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 …