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 …

Exceptional links and twisted Fermi ribbons in non-Hermitian systems

J Carlström, EJ Bergholtz - Physical Review A, 2018 - APS
The generic nature of band touching points in three-dimensional band structures is at the
heart of the rich phenomenology, topological stability, and novel Fermi arc surface states …

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 …

Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals

K Moors, AA Zyuzin, AY Zyuzin, RP Tiwari, TL Schmidt - Physical Review B, 2019 - APS
We consider the impact of disorder on the spectrum of three-dimensional nodal-line
semimetals. We show that the combination of disorder and a tilted spectrum naturally leads …

Braid-protected topological band structures with unpaired exceptional points

JLK König, K Yang, JC Budich, EJ Bergholtz - Physical Review Research, 2023 - APS
We demonstrate the existence of topologically stable unpaired exceptional points (EPs), and
construct simple non-Hermitian (NH) tight-binding models exemplifying such remarkable …

Anatomy of skin modes and topology in non-Hermitian systems

CH Lee, R Thomale - Physical Review B, 2019 - APS
A non-Hermitian system can exhibit extensive sensitivity of its complex energy spectrum to
the imposed boundary conditions, which is beyond any known phenomenon from Hermitian …

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 …

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 higher-order Weyl semimetals

SAA Ghorashi, T Li, M Sato - Physical Review B, 2021 - APS
We study non-Hermitian higher-order Weyl semimetals (NHHOWSMs) possessing real
spectra and having inversion I (I-NHHOWSM) or time-reversal symmetry T (T-NHHOWSM) …

Geometric characterization of non-Hermitian topological systems through the singularity ring in pseudospin vector space

L Li, CH Lee, J Gong - Physical Review B, 2019 - APS
This work unveils how geometric features of two-band non-Hermitian Hamiltonians can
classify the topology of their eigenstates and energy manifolds. Our approach generalizes …