Over the past twenty-five years, mathematical concepts associated with geometric phases
have come to occupy a central place in our modern understanding of the physics of …

Providing an up-to-date and lucid presentation of phenomena across modern advanced-
level solid state physics, this new edition builds on an elementary understanding to …

The intense theoretical and experimental interest in topological insulators and semimetals
has established band structure topology as a fundamental material property. Consequently …

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 …

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

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

Topology, a mathematical concept, has recently become a popular and truly
transdisciplinary topic encompassing condensed matter physics, solid state chemistry, and …

In this article, we provide a pedagogical review of the theory of topological quantum
chemistry and topological crystalline insulators. We begin with an overview of the properties …