The discovery of the quantum spin Hall effect and topological insulators more than a decade
ago has revolutionized modern condensed matter physics. Today, the field of topological …

One-dimensional helical liquids can appear at boundaries of certain condensed matter
systems. Two prime examples are the edge of a quantum spin Hall insulator and the hinge …

We study low-temperature phases and edge-state conductance of an interacting composite
(1+ 1/n) Abelian helical edge state made of a regular helical liquid carrying charge e and a …

We report on a class of quantum spin Hall insulators (QSHIs) in strained-layer InAs/GaInSb
quantum wells, in which the bulk gaps are enhanced up to fivefold as compared to the …

Topology in condensed matter physics manifests itself in the emergence of edge or surface
states protected by underlying symmetries. We review two-dimensional topological …

Time-reversal symmetry suppresses electron backscattering in a quantum-spin-Hall edge,
yielding quantized conductance at zero temperature. Understanding the dominant …

It has been proposed that adding disorder to a topologically trivial mercury
telluride/cadmium telluride (HgTe/CdTe) quantum well can induce a transition to a …

Although one of the most important and intriguing features of the topological insulators is the
presence of edge states, the closed-form expressions for the edge states of some famous …

Topological insulators have remained as candidates for future electronic devices since their
first experimental realization in the past decade. The existence of topologically protected …

The combination of Rashba spin-orbit coupling and potential disorder induces a random
current operator for the edge states of a 2D topological insulator. We prove that charge …