Backreacting p-wave Superconductors

TL;DR

This paper investigates the gravitational backreaction effects in a 2+1 dimensional p-wave superconductor holographic model, revealing a second order phase transition and lower entanglement entropy compared to the normal state.

Contribution

It provides a detailed analysis of backreacted p-wave superconductors, including phase transition characteristics and entanglement entropy behavior, extending previous non-backreacted models.

Findings

Second order phase transition between superconducting and normal states.

Superconducting phase has lower free energy below T_c.

Entanglement entropy follows an area law and is lower in the superconducting phase.

Abstract

We study the gravitational backreaction of the non-abelian gauge field on the gravity dual to a 2+1 p-wave superconductor. We observe that as in the $p+ip$ system a second order phase transition exists between a superconducting and a normal state. Moreover, we conclude that, below the phase transition temperature $T_c$ the lowest free energy is achieved by the p-wave solution. In order to probe the solution, we compute the holographic entanglement entropy. For both $p$ and $p+ip$ systems the entanglement entropy satisfies an area law. For any given entangling surface, the p-wave superconductor has lower entanglement entropy.