A Maxwell-vector p-wave holographic superconductor in a particular background AdS black hole metric

TL;DR

This paper investigates a p-wave holographic superconductor in a higher-dimensional AdS black hole background within Lovelock gravity, revealing how the black hole's properties influence superconducting phase transition and conductivity.

Contribution

It introduces a novel analysis of p-wave holographic superconductors in Lovelock gravity, highlighting the impact of the background black hole's Lovelock index on critical temperature and conductivity.

Findings

Critical temperature decreases as Lovelock index increases

Lovelock index affects the conductivity and gap frequency

Larger Lovelock index makes condensation harder to form

Abstract

We study the p-wave holographic superconductor for AdS black holes with planar event horizon topology for a particular Lovelock gravity, in which the action is characterized by a self-interacting scalar field nonminimally coupled to the gravity theory which is labeled by an integer $k$. As the Lovelock theory of gravity is the most general metric theory of gravity based on the fundamental assumptions of general relativity, it is a desirable theory to describe the higher dimensional spacetime geometry. The present work is devoted to studying the properties of the p-wave holographic superconductor by including a Maxwell field which nonminimally couples to a complex vector field in a higher dimensional background metric. In the probe limit, we find that the critical temperature decreases with the increase of the index $k$ of the background black hole metric, which shows that a larger $k$ makes it harder for the condensation to form. We also observe that the index $k$ affects the conductivity and the gap frequency of the holographic superconductors.