We review theoretical and experimental highlights in transport in two-dimensional
topological materials over the last five years. Topological materials comprise topological …

Unlike string theory, topological physics in lower dimensional condensed matter systems is
an experimental reality since the bulk-boundary correspondence can be probed …

Topological states of quantum matter have been investigated intensively in recent years in
materials science and condensed matter physics. The field developed explosively largely …

This graduate-level textbook is the first pedagogical synthesis of the field of topological
insulators and superconductors, one of the most exciting areas of research in condensed …

In a topological insulator (TI) the character of electron transport varies from insulating in the
interior of the material to metallic near its surface. Unlike, however, ordinary metals …

This paper reviews recent theoretical and experimental work on transport due to the surface
states of three-dimensional topological insulators. The theoretical focus is on longitudinal …

The first-principles band theory paradigm has been a key player not only in the process of
discovering new classes of topologically interesting materials, but also for identifying salient …

We propose to engineer time-reversal-invariant topological insulators in two-dimensional
crystals of transition-metal dichalcogenides (TMDCs). We note that, at low doping …

Magnetic topological materials represent a class of compounds with properties that are
strongly influenced by the topology of their electronic wavefunctions coupled with the …

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