Supercurrent in p-wave Holographic Superconductor

TL;DR

This paper investigates p-wave and p+ip-wave holographic superconductors with supercurrent, finding near-critical temperature behavior consistent with Ginzburg-Landau theory and highlighting differences in isotropy between the models.

Contribution

It provides a comparative study of p-wave and p+ip-wave holographic superconductors with supercurrent, revealing their near-critical behavior and anisotropic versus isotropic properties.

Findings

Critical current scales as (T_c - T)^{3/2} near T_c

Supercurrent behavior matches Ginzburg-Landau theory predictions

p+ip superconductor exhibits isotropic supercurrent behavior

Abstract

The p-wave and $p+ip$-wave holographic superconductors with fixed DC supercurrent are studied by introducing a non-vanishing vector potential. We find that close to the critical temperature $T_c$ of zero current, the numerical results of both the p wave model and the $p+ip$ model are the same as those of Ginzburg-Landau (G-L) theory, for example, the critical current $j_c \sim (T_c-T)^{3/2}$ and the phase transition in the presence of a DC current is a first order transition. Besides the similar results between both models, the $p+ip$ superconductor shows isotropic behavior for the supercurrent, while the p-wave superconductor shows anisotropic behavior for the supercurrent.