On Holographic Superconductors with DC Current

TL;DR

This paper explores how a DC current influences holographic superconductors, revealing a first-order phase transition and matching Ginzburg-Landau predictions, with implications for Josephson junctions.

Contribution

It provides a holographic model demonstrating the impact of DC current on superconducting phase transitions and properties, aligning with Ginzburg-Landau theory.

Findings

DC current induces a first-order phase transition.

Quantitative agreement with Ginzburg-Landau properties.

Insights into holographic Josephson junctions.

Abstract

We study direct currents in a simple holographic realization of a superconducting film. We investigate how the presence of a DC current affects the superconducting phase transition, which becomes first order for any non-vanishing value of the current, as well as several other properties of the superconductor such as the AC conductivity. Near the critical temperature we find a quantitative agreement with several properties of Ginzburg-Landau superconducting films, for example the squared ratio of the maximal and minimal condensate is equal to two thirds. We also comment on the extension of our construction to holographic Josephson junctions.