Induced Superconducting States in Proximitized Weyl Semimetals

We explore the properties of induced superconducting states in proximitized Weyl Semimetals. Conventionally, an effective tunneling approach is employed where the host superconductor is treated as a passive source of Cooper Pairs. To better characterize the physics across the interface, we solve the BdG equation written in a basis that spans the entire heterostructure. A numerical approach is employed for the resultant Bogoliubov equations to obtain the pairing amplitude throughout the device. This allows us to determine the coherence length, symmetry, and conditions, if any, under which a topological superconductor is realized.