Exploring Topological Superconductivity in Topological Materials

Topological Mechanism of Superconductivity

We outline the basic ideas of the topologigical mechanisms of su-perconductivity. A gauged model of correlated electronic system where a topological fluid is formed as a result of a strong interaction is discussed .

Topological Superconductivity in Dirac Semimetals.

Dirac semimetals host bulk band-touching Dirac points and a surface Fermi loop. We develop a theory of superconducting Dirac semimetals. Establishing a relation between the Dirac points and the surface Fermi loop, we clarify how the nontrivial topology of Dirac semimetals affects their superconducting state. We note that the unique orbital texture of Dirac points and a structural phase transiti...

Topological Superconductivity in Artificial Heterostructures

Topological feature vectors for exploring topological relationships

Topological relationships between spatial objects such as overlap, disjoint, and inside have for a long time been a focus of research in a number of disciplines like cognitive science, robotics, linguistics, artificial intelligence, and spatial reasoning. In particular as predicates, they support the design of suitable query languages for spatial data retrieval and analysis in spatial database ...

Topological Superconductivity in a Planar Josephson Junction

We consider a two-dimensional electron gas with strong spin-orbit coupling contacted by two superconducting leads, forming a Josephson junction. We show that in the presence of an in-plane Zeeman field, the quasi-one-dimensional region between the two superconductors can support a topological superconducting phase hosting Majorana bound states at its ends. We study the phase diagram of the syst...