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 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 …

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 hopping, in the presence of repulsive nearest …

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 …

We propose a realistic cold-atom quantum setting where topological localization induces
nonreciprocal pumping. This is an intriguing non-Hermitian phenomenon that illustrates how …

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 …

We revisit the fate of the skin modes in many-body non-Hermitian fermionic systems.
Contrary to the single-particle case, the many-body ground state cannot exhibit an …

The explorations of non-Hermiticity have been devoted to investigate the disorder-induced
many-body localization (MBL). However, the sensitivity of the spatial boundary conditions …

Non-Hermitian systems have been shown to have a dramatic sensitivity to their boundary
conditions. In particular, the non-Hermitian skin effect induces collective boundary …