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 topological effects are of crucial importance both in fundamental physics and
applications. Here we discover the gain-loss-induced hybrid second-order skin-topological …

The study of the laws of nature has traditionally been pursued in the limit of isolated systems,
where energy is conserved. This is not always a valid approximation, however, as the …

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 …

Robust boundary states epitomize how deep physics can give rise to concrete experimental
signatures with technological promise. Of late, much attention has focused on two distinct …

The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

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 …

In active matter systems, individual constituents convert energy into non-conservative forces
or motion at the microscale, leading to morphological features and transport properties that …