A Two-band Model for p-wave Superconductivity

TL;DR

This paper explores how hybridization in a two-band system can induce p-wave superconductivity even without direct inter-band attractive interactions, highlighting the role of symmetry in the hybridization.

Contribution

It demonstrates that hybridization can induce inter-band superconductivity with p-wave symmetry in a two-band model, independent of inter-band attractive interactions.

Findings

Hybridization induces inter-band superconductivity.

Antisymmetric hybridization leads to p-wave symmetry.

Superconductivity depends on hybridization symmetry.

Abstract

In this paper we study the effects of hybridization in the superconducting properties of a two-band system. We consider the cases that these bands are formed by electronic orbitals with angular momentum, such that, the hybridization $V(\mathbf{k})$ among them can be symmetric or antisymmetric under inversion symmetry. We take into account only intra-band attractive interactions in the two bands and investigate the appearance of an induced inter-band pairing gap. We show that (inter-band) superconducting orderings are induced in the total absence of attractive interaction between the two bands, which turns out to be completely dependent on the hybridization between them. For the case of antisymmetric hybridization we show that the induced inter-band superconductivity has a p-wave symmetry.