A non-Hermitian topological insulator with a real spectrum is interesting in the theory of non-
Hermitian extension of topological systems. We find an experimentally realizable example of …

Topological edge states appear at the interface of two topologically distinct Hermitian
insulators. We study the extension of this idea to non-Hermitian systems. We consider PT …

There have been considerable efforts devoted to the study of topological phases in certain
non-Hermitian systems that possess real eigenfrequencies in the presence of gain and loss …

The bulk-boundary correspondence is crucial to topological insulators. It associates the
existence of boundary states (with zero energy and possessing chiral or helical properties) …

Spectra of bulk or edges in topological insulators are often made complex by non-
Hermiticity. Here, we show that symmetry protection enables entirely real spectra for both …

A non-Hermitian topological insulator is fundamentally different from conventional
topological insulators. The non-Hermitian skin effect arises in a nonreciprocal tight binding …

A d-dimensional second-order topological insulator (SOTI) can host topologically protected
(d-2)-dimensional gapless boundary modes. Here, we show that a 2D non-Hermitian SOTI …

Recently, the topological phase in non-Hermitian systems has been a rapidly expanding
field. The iconic features of non-Hermitian systems are exceptional points at which the …

Examples of non-Hermitian quantum systems admitting a topological insulator phase are
presented in one, two and three space dimensions. All of these non-Hermitian Hamiltonians …

Over the last few years, topological edge modes—excitations that are localized at the
materials' edges, yet that are characterized by a topological invariant defined from the …