Superconducting Diode Effect in Weak Localization Regime

TL;DR

This paper investigates how weak localization and interactions affect the superconducting diode effect in a disordered 2D superconductor with spin-orbit coupling, revealing its robustness in high-temperature regimes.

Contribution

It introduces a renormalized Ginzburg-Landau theory incorporating weak localization effects and demonstrates the universal robustness of the superconducting diode effect against interactions.

Findings

Transition temperature and critical fields are suppressed by interactions.

Superconducting diode effect remains robust at high transition temperatures.

Localization behaviors are observed in resistive states after superconductivity is destroyed.

Abstract

We study a dirty two-dimensional superconductor with Rashba spin-orbit coupling and in-plane Zeeman fields described by the nonlinear sigma model that includes the Cooper and long-range Coulomb interactions. The renormalized Ginzburg-Landau theory, which includes the weak localization effects at the one-loop level, is constructed using the Keldysh functional formalism. It is shown that the transition temperature and magnetic field, as well as the tricritical point appearing in the phase diagram, are suppressed by the interactions. Nevertheless, we have found a universal behavior in the high-transition-temperature regime that demonstrates the robustness of the superconducting diode effect against the interactions. The conductivity of the resistive states emerging after the superconducting states are destroyed by the critical current is also calculated, and localization behaviors are demonstrated.