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 …

The past decades have witnessed the flourishing of non-Hermitian physics in non-
conservative systems, leading to unprecedented phenomena of unidirectional invisibility …

Recent years have seen remarkable development in open quantum systems effectively
described by non-Hermitian Hamiltonians. A unique feature of non-Hermitian topological …

A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

We study the Hatano-Nelson model, ie, a one-dimensional non-Hermitian chain of spinless
fermions with nearest-neighbor nonreciprocal hop**, in the presence of repulsive nearest …

A unique feature of non-Hermitian systems is the skin effect, which is the extreme sensitivity
to the boundary conditions. Here, we reveal that the skin effect originates from intrinsic non …

Phase transitions connect different states of matter and are often concomitant with the
spontaneous breaking of symmetries. An important category of phase transitions is mobility …

Non-Hermiticity significantly enriches the properties of topological models, leading to exotic
features such as the non-Hermitian skin effects and non-Bloch bulk-boundary …

In non-Hermitian crystals showing the non-Hermitian skin effect, ordinary Bloch band theory
and Bloch topological invariants fail to correctly predict energy spectra, topological boundary …

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 …