Semiclassical theory for proximity-induced superconducting systems with spin-orbit coupling

TL;DR

This paper develops a semiclassical framework to understand how spin-orbit coupling influences quasiparticle behavior in proximity-induced superconductors, revealing new Berry curvature effects and thermo-spin responses.

Contribution

It introduces a novel semiclassical theory capturing superconducting Berry curvatures and predicts related thermal Edelstein and spin Nernst effects in such systems.

Findings

Identification of superconducting Berry curvature structures

Prediction of thermal Edelstein effect in superconductors

Prediction of spin Nernst effect in superconducting systems

Abstract

We develop a semiclassical theory of superconducting quasiparticles for proximity-induced superconducting systems, where spin-orbit coupling plays a critical role in shaping the quasiparticle dynamics. We reveal the structure of superconducting Berry curvatures in such systems, and derived the superconducting Berry curvature induced thermal Edelstein effect and spin Nernst effect. We calculate these two thermo-spin responses with model systems where Rashba spin-orbit coupling, proximity induced superconductivity, and ferromagnetic order are coexisting.