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 …

Topological materials are quantum materials with nontrivial ground-state entanglement that
are irremovable so long as certain rules, like invariance under symmetries and the existence …

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 …

The topological phases in materials have been studied in recent decades for their unique
boundary states and transport properties. Photonic systems with band structures embrace …

The recent realization of topology as a mathematical concept in condensed matter systems
has shattered Landau's widely accepted classification of phases by spontaneous symmetry …

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 …

The progress in science and technology is largely boosted by the continuous discovery of
new materials. In recent years, the state‐of‐art first‐principles computational approach has …

The past decade has witnessed the emergence of a new frontier in condensed matter
physics: topological materials with an electronic band structure belonging to a different …

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 …

Topological photonics seeks to control the behaviour of the light through the design of
protected topological modes in photonic structures. While this approach originated from …