Two-Bands Superconductivity with Intra- and Interband Pairing for Synthetic Superlattices

We consider a model for superconductivity in a two-band superconductor, having an anisotropic electronic structure made of two partially overlapping bands with a first hole-like and a second electron-like Fermi surface. In this pairing scenario, driven by the interplay between inter- band Vi,j and intraband Vi,i pairing terms, we have solved the two gap equations at the critical temperature T = Tc and calculate Tc and the chemical potential μ as a function of the number of carriers n for various values of pairing interac- tions, V1,1 , V2,2 , and V1,2 . The results show the complexity of the physics of condensates with multiple order parameters with the chemical potential near band edges.