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 …

The synergy between non-Hermitian concepts and topological ideas have led to very fruitful
activity in the recent years. Their interplay has resulted in a wide variety of new non …

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 …

In spatially periodic Hermitian systems, such as electronic systems in crystals, the band
structure is described by the band theory in terms of the Bloch wave functions, which …

Exceptional points are universal level degeneracies induced by non-Hermiticity. Whereas
past decades witnessed their new physics, the unified understanding has yet to be obtained …

Non-Hermiticity enriches topological phases beyond the existing Hermitian framework.
Whereas their unusual features with no Hermitian counterparts were extensively explored, a …

Recently, the search for topological states of matter has turned to non-Hermitian systems,
which exhibit a rich variety of unique properties without Hermitian counterparts. Lattices …

Non-Hermitian (NH) Hamiltonians have become an important asset for the effective
description of various physical systems that are subject to dissipation. Motivated by recent …

Classifications of symmetry-protected topological (SPT) phases provide a framework to
systematically understand the physical properties and potential applications of topological …

The search of topological states in non-Hermitian systems has gained a strong momentum
over the last two years climbing to the level of an emergent research front. In this perspective …