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 have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

We consider conditions for the existence of boundary modes in non-Hermitian systems with
edges of arbitrary codimension. Through a universal formulation of formation criteria for …

A quantum spin Hall (QSH) insulator is a novel two-dimensional quantum state of matter that
features quantized Hall conductance in the absence of a magnetic field, resulting from …

This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …

This review elaborates pedagogically on the fundamental concept, basic theory, expected
properties, and materials realizations of topological superconductors. The relation between …

Over a long period of exploration, the successful observation of quantized version of
anomalous Hall effect (AHE) in thin film of magnetically doped topological insulator (TI) …

Topological insulators are crystalline solids with supposedly very special properties. If
stumbling upon such a crystal, which is possible because topological insulators are known …

We complete a classification of topological phases and their topological defects in crystalline
insulators and superconductors. We consider topological phases and defects described by …

While the topological classification of insulators, semimetals, and superconductors in terms
of nonspatial symmetries is well understood, less is known about topological states …