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 …

Topological non-Hermitian skin effect

R Lin, T Tai, L Li, CH Lee - Frontiers of Physics, 2023 - Springer
This article reviews recent developments in the non-Hermitian skin effect (NHSE),
particularly on its rich interplay with topology. The review starts off with a pedagogical …

A review on non-Hermitian skin effect

X Zhang, T Zhang, MH Lu, YF Chen - Advances in Physics: X, 2022 - Taylor & Francis
The past decades have witnessed the flourishing of non-Hermitian physics in non-
conservative systems, leading to unprecedented phenomena of unidirectional invisibility …

Non-Hermitian topological sensors

JC Budich, EJ Bergholtz - Physical Review Letters, 2020 - APS
We introduce and study a novel class of sensors whose sensitivity grows exponentially with
the size of the device. Remarkably, this drastic enhancement does not rely on any fine …

Self-healing of non-Hermitian topological skin modes

S Longhi - Physical Review Letters, 2022 - APS
A unique feature of non-Hermitian (NH) systems is the NH skin effect, ie, the edge
localization of an extensive number of bulk-band eigenstates in a lattice with open or semi …

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 …

Non-Hermitian skin effect and self-acceleration

S Longhi - Physical Review B, 2022 - APS
Non-Hermitian systems exhibit nontrivial band topology and a strong sensitivity of the
energy spectrum on the boundary conditions. Remarkably, a macroscopic number of bulk …

Liouvillian skin effect in an exactly solvable model

F Yang, QD Jiang, EJ Bergholtz - Physical Review Research, 2022 - APS
The interplay between dissipation, topology, and sensitivity to boundary conditions has
recently attracted tremendous amounts of attention at the level of effective non-Hermitian …

Non‐Hermitian Topological Phononic Metamaterials

J Lu, W Deng, X Huang, M Ke, Z Liu - Advanced Materials, 2023 - Wiley Online Library
Non‐Hermitian (NH) physics describes novel phenomena in open systems that allow
generally complex spectra. Introducing NH physics into topological metamaterials, which …