We present a general description of topological insulators from the point of view of Dirac
equations. The Z2 index for the Dirac equation is always zero, and thus the Dirac equation is …

We explore the electronic structure, orbital character and topological aspect of a monolayer
MoS 2 nanoribbon using tight-binding (TB) and low-energy ($\boldsymbol {k}\centerdot …

The electronic spectrum on the spherical surface of a topological insulator reflects an active
property of the helical surface state that stems from a constraint on its spin on a curved …

A workable model for describing dislocation lines introduced into a three-dimensional
topological insulator is proposed. We show how fragile surface Dirac cones of a weak …

We study the hyperfine interaction between the nuclear spins and the electrons in a HgTe
quantum well, which is the prime experimentally realized example of a two-dimensional …

The nontrivialness of a topological insulator (TI) is characterized either by a bulk topological
invariant or by the existence of a protected metallic surface state. Yet, in realistic samples of …

Three-dimensional topological insulators are characterized by the presence of protected
gapless spin helical surface states. In realistic samples these surface states are extended …

We discuss methods for calculating Chern numbers of two-dimensional lattice systems using
spiral boundary conditions, which sweep all lattice sites in one-dimensional order …

Employing scaling analysis of the localization length, we deduce the critical exponent of the
metal–topological insulator transitions induced by disorder. The obtained exponent ν∼ 2.7 …

We study the helical edge states of a two-dimensional topological insulator without axial
spin symmetry due to the Rashba spin-orbit interaction. Lack of axial spin symmetry can lead …