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 …

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 …

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 …

Out of equilibrium, a lack of reciprocity is the rule rather than the exception. Non-reciprocity
occurs, for instance, in active matter,,,,–, non-equilibrium systems,–, networks of neurons …

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 …

Parity-time (PT)-symmetric Hamiltonians have widespread significance in non-Hermitian
physics. APT-symmetric Hamiltonian can exhibit distinct phases with either real or complex …

In this Letter, we study the conditions under which on-site dissipations can induce non-
Hermitian skin modes in non-Hermitian systems. When the original Hermitian Hamiltonian …

Systems with non-Hermitian skin effects are very sensitive to the imposed boundary
conditions and lattice size, and thus an important question is whether non-Hermitian skin …

The non-Hermitian skin effect dramatically reshapes the energy bands of non-Hermitian
systems, meaning that the usual Bloch band theory is fundamentally inadequate as their …