One dimensional s-wave holographic superconductor with supercurrent

TL;DR

This paper investigates a one-dimensional s-wave holographic superconductor with a supercurrent by analyzing the effects of a boundary vector potential, revealing agreement with Ginzburg-Landau theory and identifying the critical supercurrent behavior.

Contribution

It introduces a novel holographic model incorporating a boundary vector potential to study supercurrent effects in 1D superconductors, aligning with classical theory predictions.

Findings

Supercurrent modeled by boundary vector potential $A_x^{(0)}$ affects superconductivity.

Critical supercurrent scales as $(T_c - T)^{3/2}$ near the transition.

Results agree with Ginzburg-Landau theory predictions.

Abstract

We study the one dimensional s-wave holographic superconductor by turning on the vector potential $A_x$ in the bulk, which behaves as $A_x=A_x^{(0)} \ln z+ A_x^{(1)}$ on the boundary. By solving the model with fixed $A_x^{(0)}$, we find that if we identify the $A_x^{(0)}$ with the supercurrent $j_x$ of the holographic superconductor, the results agree with the Gindzburg- Landau theory. For example, $A_x^{(0)}$ will break the superconductivity, and the critical value of $A_x^{(0)}$ is proportional to $(T_c-T)^{3/2}$.