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 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 …

Non-Hermitian systems exhibit striking exceptions from the paradigmatic bulk-boundary
correspondence, including the failure of bulk Bloch band invariants in predicting boundary …

In the past few years, concepts from non-Hermitian (NH) physics, originally developed within
the context of quantum field theories, have been successfully deployed over a wide range of …

The discovery of topological phases in non-Hermitian open classical and quantum systems
challenges our current understanding of topological order. Non-Hermitian systems exhibit …

Abstract Parity–time (PT)-symmetric crystals are a class of non-Hermitian systems that allow,
for example, the existence of modes with real propagation constants, for self-orthogonality of …

Higher-order topological insulators and superconductors are topological phases that exhibit
novel boundary states on corners or hinges. Recent experimental advances in controlling …

Non-Hermiticity enriches topological phases beyond the existing Hermitian framework.
Whereas their unusual features with no Hermitian counterparts were extensively explored, a …

Both theoretical and experimental studies of topological phases in non-Hermitian systems
have made a remarkable progress in the last few years of research. In this article, we review …

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 …