Quantum coherence and quantum correlations are of fundamental and practical significance
for the development of quantum mechanics. They are also cornerstones of quantum …

The progress in the field of topological insulators is impetuous, being sustained by a suite of
exciting results on three fronts: experiment, theory and numerical simulation. Very often, the …

The topology of non-Hermitian systems is drastically shaped by the non-Hermitian skin
effect, which leads to the generalized bulk-boundary correspondence and non-Bloch band …

This graduate-level textbook is the first pedagogical synthesis of the field of topological
insulators and superconductors, one of the most exciting areas of research in condensed …

We address the breakdown of the bulk-boundary correspondence observed in non-
Hermitian systems, where open and periodic systems can have distinct phase diagrams …

We analyze translationally invariant insulators with inversion symmetry that fall outside the
current established classification of topological insulators. These insulators exhibit no edge …

Unlike their Hermitian counterparts, non-Hermitian (NH) systems may display an
exponential sensitivity to boundary conditions and an extensive number of edge-localized …

The ground state of translationally invariant insulators comprises bands which can assume
topologically distinct structures. There are few known examples where this distinction is …

The chiral AIII symmetry class in the classification table of topological insulators contains
topological phases classified by a winding number ν for each odd space dimension. An …

The organization of the electrons in the ground state is classified by means of topological
invariants, defined as global properties of the wave function. Here we address the Chern …