Two-bands superconductivity with intra- and interband pairing for synthetic superlattices

TL;DR

This paper models two-band superconductivity with intra- and interband pairing, analyzing how pairing interactions influence critical temperature and chemical potential in complex multi-band systems.

Contribution

It introduces a detailed model for two-band superconductors considering anisotropic bands and solves for critical temperature and chemical potential across various interaction strengths.

Findings

Critical temperature $T_c$ depends on pairing interactions and carrier density.

Chemical potential varies near band edges, indicating complex condensate physics.

Multiple order parameters influence superconducting properties.

Abstract

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 interband $V_{i,j}$ and intraband $V_{i,i}$ pairing terms, we have solved the two gap equations at the critical temperature $T = T_c$ and calculate $T_c$ and the chemical potential $\mu$ as a function of the number of carriers $n$ for various values of pairing interactions, $V_{1,1}$, $V_{2,2}$, and $V_{1,2}$. The results show the complexity of the physics of condensates with multiple order parameters with the chemical potential near band edges.