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 …

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

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 …

Non-Hermiticity gives rise to unique topological phases that have no counterparts in
Hermitian systems. Such intrinsic non-Hermitian topological phases appear even in one …

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 …

Higher-order topology realizes topologically robust corner modes as a manifestation of
nontriviality. We theoretically propose non-Hermitian skin effects which stem from the …

Knots have a twisted history in quantum physics. They were abandoned as failed models of
atoms. Only much later was the connection between knot invariants and Wilson loops in …

Exceptional points are complex branching singularities of non-Hermitian bands that have
lately attracted considerable interest, particularly in non-Hermitian photonics. In this article …

We propose an anti-parity-time (anti-PT) symmetric non-Hermitian Su-Schrieffer-Heeger
(SSH) model, where the large non-Hermiticity constructively creates nontrivial topology and …

Dimensionality plays a fundamental role in the classification of novel phases and their
responses. In generic lattices of 2D and beyond, however, we found that non-Hermitian …