The past decades have witnessed an explosion of interest in topological materials, and a lot
of mathematical concepts have been introduced in condensed matter physics. Among them …

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

The combination of broken Hermiticity and band topology in physical systems unveils a
novel bound state dubbed as the non-Hermitian skin effect (NHSE). Active control that …

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 …

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 …

Skin effect, experimentally discovered in one dimension, describes the physical
phenomenon that on an open chain, an extensive number of eigenstates of a non-Hermitian …

The recently discovered non-Hermitian skin effect (NHSE) manifests the breakdown of
current classification of topological phases in energy-nonconservative systems, and …

We provide a systematic and self-consistent method to calculate the generalized Brillouin
zone (GBZ) analytically in one-dimensional non-Hermitian systems, which helps us to …

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 …

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 …