Supercurrent: Vector Hair for an AdS Black Hole

TL;DR

This paper explores a holographic superconductor model with a supercurrent, revealing a critical point where the phase transition changes from second to first order, and compares findings with condensed matter phenomena.

Contribution

It introduces a supercurrent deformation in a holographic superconductor, identifying a critical point and analyzing the phase diagram, which is a novel feature not present in normal black holes.

Findings

Discovery of a critical point where the phase transition changes order.

Qualitative agreement with known condensed matter supercurrent behavior.

Phase diagram analysis showing supercurrent effects on superconducting phases.

Abstract

In arXiv:0803.3295 [hep-th] a holographic black hole solution is discussed which exhibits a superconductor like transition. In the superconducting phase the black holes show infinite DC conductivity. This gives rise to the possibility of deforming the solutions by turning on a time independent current (supercurrent), without any electric field. This type of deformation does not exist for normal (non-superconducting) black holes, due to the no-hair theorems. In this paper we have studied such a supercurrent solution and the associated phase diagram. Interestingly, we have found a "special point" (critical point) in the phase diagram where the second order superconducting phase transition becomes first order. Supercurrent in superconducting materials is a well studied phenomenon in condensed matter systems. We have found some qualitative agreement with known results.