Ising and Topological Superconductivity in Transition Metal Dichalcogenides and Doped Topological Insulators

Abstract

In this thesis, we study the novel properties of the superconducting phases of twodimensional transition metal dichalcogenides and of Nb doped topological insulator Bi₂Se₃. In particular, we focus on the magnetic properties of these superconducting materials. Due to the special spin-orbit coupling in two-dimensional transition metal dichalcogenides, the in-plane upper critical fields are greatly enhanced. The unconventional superconductivity in Nb-doped Bi₂Se₃ makes it possible that nonzero magnetization can be induced by chiral Cooper pairs.