Generalising Holographic Superconductors

TL;DR

This paper develops a unified holographic framework for various superconductors, extending geometric models beyond traditional black hole backgrounds to include higher spins and new superconductor types.

Contribution

It introduces a generalized holographic approach that unifies s-, p-, d-, and f-wave superconductors and extends the geometric description to higher-dimensional metrics.

Findings

Unified description of multiple superconductor types.

Extended geometric models beyond AdS-Schwarzschild black holes.

Reproduced and extended critical temperature scaling results.

Abstract

In this paper we propose a generalised holographic framework to describe superconductors. We first unify the description of s-, p- and d-wave superconductors in a way that can be easily promoted to higher spin. Using a semi-analytical procedure to compute the superconductor properties, we are able to further generalise the geometric description of the hologram beyond the AdS-Schwarzschild Black Hole paradigm, and propose a set of higher-dimensional metrics which exhibit the same universal behaviour. We then study the properties of the condensate and the scaling of the critical temperature with the parameters of the higher-dimensional theory, reproducing existing results in the literature and extending them to include a possible description of the newly observed f-wave superconducting systems.