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 …

Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

These lecture notes provide an introduction to some of the main concepts of topological
insulators, a branch of solid state physics that is develo** at a fast pace. They are based …

The discovery of the quantum spin Hall effect and topological insulators more than a decade
ago has revolutionized modern condensed matter physics. Today, the field of topological …

We complete a classification of topological phases and their topological defects in crystalline
insulators and superconductors. We consider topological phases and defects described by …

We report on the occurrence of knotted metallic band structures as stable topological phases
in non-Hermitian (NH) systems. These knotted NH metals are characterized by open Fermi …

Markovian reservoir engineering, in which time evolution of a quantum system is governed
by a Lindblad master equation, is a powerful technique in studies of quantum phases of …

Topological insulators have become one of the most active research areas in condensed
matter physics. This article reviews progress on the topic of electronic correlation effects in …

Topological superconductors in one spatial dimension exhibiting a single Majorana bound
state at each end are distinguished from trivial gapped systems by a Z 2 topological …

We take a hands-on approach and get to know the basic concepts of topological insulators
via a concrete system: the Su-Schrieffer-Heeger (SSH) model of polyacetylene. This model …