The recent developments in topological insulators have highlighted the important role of
topology in defining phases of matter (for a concise summary, see Chapter 1 in this volume) …

Since the discovery of topological insulators and semimetals, there has been much research
into predicting and experimentally discovering distinct classes of these materials, in which …

Topological insulators represent a new quantum state of matter which is characterized by
peculiar edge or surface states that show up due to a topological character of the bulk wave …

Topological Insulators, volume six in the Contemporary Concepts of Condensed Matter
Series, describes the recent revolution in condensed matter physics that occurred in our …

Spin-orbit coupled materials have attracted revived prominent research interest as of late,
especially due their connection with topological materials. A hallmark of this pursuit is …

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 …

Over the past decade, topological materials—in which the topology of electron bands in the
bulk material leads to robust, unconventional surface states and electromagnetism—have …

We give a pedagogical introduction to theory of topological insulators. Following an
introduction to the role of topology in band theory, we discuss several examples in detail …

The recent discovery of topological insulators has revived interest in the band topology of
insulators. In this Letter, we extend the topological classification of band structures to include …

The interplay between symmetry and topology leads to a rich variety of electronic topological
phases, protecting states such as the topological insulators and Dirac semimetals. Previous …