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 insulators are new states of quantum matter which cannot be adiabatically
connected to conventional insulators and semiconductors. They are characterized by a full …

Topological electronic materials such as bismuth selenide, tantalum arsenide and sodium
bismuthide show unconventional linear response in the bulk, as well as anomalous gapless …

Topological insulators represent a new quantum state of matter which is characterized by
peculiar edge or surface states that show up due to a topological character of the bulk wave …

Topological insulators are electronic materials that have a bulk band gap like an ordinary
insulator but have protected conducting states on their edge or surface. These states are …

We introduce an expression for the Z 2 topological invariant of band insulators using the non-
Abelian Berry connection. Our expression can identify the topological nature of a general …

Although the richness of spatial symmetries has led to a rapidly expanding inventory of
possible topological crystalline (TC) phases of electrons, physical realizations have been …

Recently, topological insulator materials have been theoretically predicted and
experimentally observed in both 2D and 3D systems. We first review the basic models and …

Weyl fermions are two-component chiral fermions in (3+ 1) dimensions. When coupled to a
gauge field, the Weyl fermion is known to have an axial anomaly, which means the current …

Bismuth selenide (Bi2Se3) is a topological insulator with metallic surface states (SS)
residing in a large bulk bandgap. In experiments, synthesized Bi2Se3 is often heavily n-type …