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 …

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

Non-Hermitian matrices are ubiquitous in the description of nature ranging from classical
dissipative systems, including optical, electrical, and mechanical metamaterials, to scattering …

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 …

We propose a novel type of skin effects in non-Hermitian quantum many-body systems that
we dub a “non-Hermitian Mott skin effect.” This phenomenon is induced by the interplay …

Non-Hermitian band structures have gained considerable attention due to the novel
phenomena not present in their Hermitian counterparts and their connection to various …

The Lieb-Schultz-Mattis (LSM) theorem provides a general constraint on quantum many-
body systems and plays a significant role in the Haldane gap phenomena and topological …

The traditional dynamical phase transition refers to the appearance of singularities in an
observable with respect to a control parameter for a late-time state or singularities in the rate …

Non-Hermiticity enables macroscopic accumulation of bulk states, named non-Hermitian
skin effects. The non-Hermitian skin effects are well established for single-particle systems …