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 …

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 …

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

We study the Hatano-Nelson model, ie, a one-dimensional non-Hermitian chain of spinless
fermions with nearest-neighbor nonreciprocal hop**, in the presence of repulsive nearest …

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 …

Topological photonics seeks to control the behaviour of the light through the design of
protected topological modes in photonic structures. While this approach originated from …

Continuum Landau modes—predicted recently in a non-Hermitian Dirac Hamiltonian under
a uniform magnetic field—are continuous bound states with no counterparts in Hermitian …

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 …

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 …

Topological effects in photonic non-Hermitian systems have recently led to extraordinary
discoveries including nonreciprocal lasing, topological insulator lasers, and topological …