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

The class of topological insulator materials is one of the frontier topics of condensed matter
physics. The great success of this field is due to the conceptual breakthroughs in theories for …

Interest in topological materials continues to grow unabated in view of their conceptual
novelties as well as their potential as platforms for transformational new technologies …

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 …

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 …

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 …

We present an open-source software package WannierTools, a tool for investigation of novel
topological materials. This code works in the tight-binding framework, which can be …

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 …

We argue that various kinds of topological insulators (TIs) can be insightfully characterized
by an inspection of the charge centers of the hybrid Wannier functions, defined as the …

Although topological band theory has been used to discover and classify a wide array of
novel topological phases in insulating and semimetal systems, it is not well suited to …