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 …

Topological insulators are new states of quantum matter which cannot be adiabatically
connected to conventional insulators and semiconductors. They are characterized by a full …

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

We report on the measurement of topological invariants in an electromagnetic topological
insulator analog formed by a microwave network, consisting of the winding numbers of …

Materials whose gapless surface states are protected by crystal symmetries include mirror
topological crystalline insulators and nonsymmorphic hourglass insulators. There exists only …

Elementary band representations are the fundamental building blocks of atomic limit band
structures. They have the defining property that at partial filling they cannot be both gapped …

The topological invariant of a topological insulator (or superconductor) is given by the
number of symmetry-protected edge states present at the Fermi level. Despite this fact …

A recently proposed class of photonic topological insulators is shown to map onto Chalker-
Coddington-type networks, which were originally formulated to study disordered quantum …

We study interaction effects in topological insulators with strong spin-orbit coupling. We find
that the interplay of nontrivial topology and Coulomb repulsion induces a novel critical state …

We generalize universal relations between the multifractal exponent α 0 for the scaling of the
typical wave-function magnitude at a (Anderson) localization-delocalization transition in two …