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

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 …

We classify topological phases of non-Hermitian systems in the Altland-Zirnbauer classes
with an additional reflection symmetry in all dimensions. By mapping the non-Hermitian …

Both theoretical and experimental studies of topological phases in non-Hermitian systems
have made a remarkable progress in the last few years of research. In this article, we review …

We revisit the problem of classifying topological band structures in non-Hermitian systems.
Recently, a solution has been proposed, which is based on redefining the notion of energy …

While Hermiticity lies at the heart of quantum mechanics, recent experimental advances in
controlling dissipation have brought about unprecedented flexibility in engineering non …

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 …

The introduction of non-Hermiticity to topological systems profoundly modifies their
topological properties, leading to unprecedented phenomena beyond the descriptions of …

The hallmark of symmetry-protected topological phases is the existence of anomalous
boundary states, which can only be realized with the corresponding bulk system. In this …

We proposed a framework for the topological characterization of non-Hermitian band
structures. Different from previous K-theoretical approaches, our approach is homotopical …