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

Topological insulators in three dimensions are nonmagnetic insulators that possess metallic
surface states (SSs) as a consequence of the nontrivial topology of electronic wavefunctions …

We systematically study topological phases of insulators and superconductors (or
superfluids) in three spatial dimensions. We find that there exist three-dimensional (3D) …

The physics of Anderson transitions between localized and metallic phases in disordered
systems is reviewed. The term “Anderson transition” is understood in a broad sense …

The search for topologically non-trivial states of matter has become an important goal for
condensed matter physics. Recently, a new class of topological insulators has been …

This paper provides a pedagogical introduction to recent developments in geometrical and
topological band theory following the discovery of graphene and topological insulators …

One of the defining properties of the conventional three-dimensional (“Z 2” or “spin-orbit”)
topological insulator is its characteristic magnetoelectric effect, as described by axion …

The quantum spin Hall (QSH) state of matter is usually considered to be protected by time-
reversal (TR) symmetry. We investigate the fate of the QSH effect in the presence of the …

The spin Chern (C s) was originally introduced on finite samples by imposing spin boundary
conditions at the edges. This definition leads to confusing and contradictory statements. On …

We investigate the behavior of a topological Chern insulator in the presence of disorder, with
a focus on its entanglement spectrum (EtS) constructed from the ground state. For systems …