p-wave Holographic Superconductors from Born-Infeld Black Holes

TL;DR

This paper constructs (2+1)D p-wave holographic superconductors using charged Born-Infeld black holes, revealing complex phase transitions and conductivity behaviors in the dual strongly coupled boundary theory.

Contribution

It introduces a novel holographic model of p-wave superconductors from Born-Infeld black holes, analyzing phase transitions and conductivity in the presence of massive charged vector fields.

Findings

Vector hair forms below critical temperature, indicating superconductivity.

Phase structure includes zeroth, first, second order, and retrograde transitions.

AC conductivity depends on model parameters, showing rich behavior.

Abstract

We obtain (2+1) dimensional p-wave holographic superconductors from charged Born-Infeld black holes in the presence of massive charged vector fields in a bulk $AdS_4$ Einstein-Born-Infeld theory through the $AdS_4$-$CFT_3$ correspondence. Below a certain critical transition temperature the charged black hole develops vector hair that corresponds to charged vector condensate in the strongly coupled (2+1) dimensional boundary field theory that breaks both the $U(1)$ symmetry as well as the rotational invariance. The holographic free energy is computed for the boundary field theory which shows that the vector order parameter exhibits a rich phase structure involving zeroth order, first order, second order and retrograde phase transitions for different values of the backreaction and the Born-Infeld parameters. We numerically compute the ac conductivity for the p-wave superconducting phase of the strongly coupled (2+1) dimensional boundary field theory which also depends on the relative values of the parameters in the theory.