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 …

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 …

Using a recently developed formalism called topological quantum chemistry, we perform a
high-throughput search of 'high-quality'materials (for which the atomic positions and …

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) …

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 …

Topological materials discovery has evolved at a rapid pace over the past 15 years following
the identification of the first nonmagnetic topological insulators (TIs), topological crystalline …

Electrical charges on the boundaries of topological insulators favour forward motion over
back-scattering at impurities, producing low-dissipation, metallic states that exist up to room …

Being Wannierizable is not the end of the story for topological insulators. We introduce a
family of topological insulators that would be considered trivial in the paradigm set by the …

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 …

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 …