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 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 …

Phase transitions between the quantum spin Hall (QSH) and the insulator phases in three
dimensions (3D) are studied. We find that in inversion-asymmetric systems there appears a …

The hallmark of the spin-Hall insulator is the presence of gapless edge states of different
spins moving in opposite directions. Through analytical solutions in a model calculation for a …

Despite the rapid progress in the field of the quantum spin Hall (QSH) effect, most of the
QSH systems studied up to now are based on crystalline materials. Here we propose that …

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 lay out an experiment to realize time-reversal invariant topological insulators in alkali
atomic gases. We introduce an original method to synthesize a gauge field in the near field …

We study the phases of Bloch insulators with time-reversal symmetry on the basis of the
homotopy of the ground-state wave functions in momentum space and find that there are two …

Abstract Two-dimensional (2D) Stiefel-Whitney insulator (SWI), which is characterized by the
second Stiefel-Whitney class, is a class of topological phases with zero Berry curvature. As …