Non-Hermitian topology and exceptional-point geometries

K Ding, C Fang, G Ma - Nature Reviews Physics, 2022 - nature.com
Non-Hermitian theory is a theoretical framework used to describe open systems. It offers a
powerful tool in the characterization of both the intrinsic degrees of freedom of a system and …

Exceptional topology of non-Hermitian systems

EJ Bergholtz, JC Budich, FK Kunst - Reviews of Modern Physics, 2021 - APS
The current understanding of the role of topology in non-Hermitian (NH) systems and its far-
reaching physical consequences observable in a range of dissipative settings are reviewed …

Observation of geometry-dependent skin effect in non-Hermitian phononic crystals with exceptional points

Q Zhou, J Wu, Z Pu, J Lu, X Huang, W Deng… - Nature …, 2023 - nature.com
Exceptional points and skin effect, as the two distinct hallmark features unique to the non-
Hermitian physics, have each attracted enormous interests. Recent theoretical works reveal …

Universal non-Hermitian skin effect in two and higher dimensions

K Zhang, Z Yang, C Fang - Nature communications, 2022 - nature.com
Skin effect, experimentally discovered in one dimension, describes the physical
phenomenon that on an open chain, an extensive number of eigenstates of a non-Hermitian …

Critical non-Hermitian skin effect

L Li, CH Lee, S Mu, J Gong - Nature communications, 2020 - nature.com
Critical systems represent physical boundaries between different phases of matter and have
been intensely studied for their universality and rich physics. Yet, with the rise of non …

Homotopy, symmetry, and non-Hermitian band topology

K Yang, Z Li, JLK König, L Rødland… - Reports on Progress …, 2024 - iopscience.iop.org
Non-Hermitian matrices are ubiquitous in the description of nature ranging from classical
dissipative systems, including optical, electrical, and mechanical metamaterials, to scattering …

Symmetry-protected multifold exceptional points and their topological characterization

P Delplace, T Yoshida, Y Hatsugai - Physical Review Letters, 2021 - APS
We investigate the occurrence of n-fold exceptional points (EPs) in non-Hermitian systems,
and show that they are stable in n-1 dimensions in the presence of antiunitary symmetries …

Entanglement and correlation spreading in non-Hermitian spin chains

X Turkeshi, M Schiró - Physical Review B, 2023 - APS
Non-Hermitian quantum many-body systems are attracting widespread interest for their
exotic properties, including unconventional quantum criticality and topology. Here, we study …

Experimental realization of Weyl exceptional rings in a synthetic three-dimensional non-Hermitian phononic crystal

J Liu, Z Li, ZG Chen, W Tang, A Chen, B Liang, G Ma… - Physical Review Letters, 2022 - APS
Weyl points—topological monopoles of quantized Berry flux—are predicted to spread to
Weyl exceptional rings in the presence of non-Hermiticity. Here, we use a one-dimensional …

Exceptional non-Abelian topology in multiband non-Hermitian systems

CX Guo, S Chen, K Ding, H Hu - Physical Review Letters, 2023 - APS
Defective spectral degeneracy, known as exceptional point (EP), lies at the heart of various
intriguing phenomena in optics, acoustics, and other nonconservative systems. Despite …