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 are electronic materials that have a bulk band gap like an ordinary
insulator but have protected conducting states on their edge or surface. These states are …

We show that inversion symmetry breaking together with spin-orbit coupling leads to
coupled spin and valley physics in monolayers of MoS 2 and other group-VI …

Ever since its discovery the notion of Berry phase has permeated through all branches of
physics. Over the past three decades it was gradually realized that the Berry phase of the …

The anomalous Hall effect (AHE) occurs in solids with broken time-reversal symmetry,
typically in a ferromagnetic phase, as a consequence of spin-orbit coupling. Experimental …

This article reviews the basic theoretical aspects of graphene, a one-atom-thick allotrope of
carbon, with unusual two-dimensional Dirac-like electronic excitations. The Dirac electrons …

The past decades have witnessed a rapid expansion in investigations of two-dimensional
(2D) monoelemental materials (Xenes), which are promising materials in various fields …

We study three-dimensional generalizations of the quantum spin Hall (QSH) effect. Unlike
two dimensions, where a single Z 2 topological invariant governs the effect, in three …

We investigate the spin-orbit opened energy gap and the band topology in recently
synthesized silicene as well as two-dimensional low-buckled honeycomb structures of …

Quantum spin Hall materials hold the promise of revolutionary devices with dissipationless
spin currents but have required cryogenic temperatures owing to small energy gaps. Here …