Topological semimetals (TSMs) are characterized by bulk band crossings in their electronic
structures, which are expected to give rise to gapless electronic excitations and topological …

The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

Weyl and Dirac semimetals are three-dimensional phases of matter with gapless electronic
excitations that are protected by topology and symmetry. As three-dimensional analogs of …

Whenever a quantum system undergoes a cyclic evolution governed by a slow change of
parameters, it acquires a phase factor: the geometric phase. Its most common formulations …

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 insulators in three dimensions are nonmagnetic insulators that possess metallic
surface states (SSs) as a consequence of the nontrivial topology of electronic wavefunctions …

Topological insulators (TIs) hold promise as a platform for unique quantum phenomena.
However, realizing these phenomena experimentally requires sophisticated devices. In this …

Topological semimetals are well known for the linear energy band dispersion in the bulk
state and topologically protected surface state with arc-like Fermi surface. The angle …

Superconductivity in topological materials has drawn significant interest from the scientific
community as these materials provide a hint of the existence of Majorana fermions …

We review theoretical and experimental highlights in transport in two-dimensional
topological materials over the last five years. Topological materials comprise topological …