Model Sensitivity in Holographic Superconductors and their Deconstructed Cousins

TL;DR

This paper investigates how sensitive holographic superconductor models and their deconstructed counterparts are to the details of their extra-dimensional spacetime, revealing both model sensitivities and universal relationships.

Contribution

It introduces a deconstructed model approach for holographic superconductors and analyzes the sensitivity of observables to extra-dimensional details.

Findings

Certain model successes are accidental.

Existence of a universal relationship between observables.

Sensitivity varies with model parameters.

Abstract

Holographic models of superconductors successfully reproduce certain experimental features of high-temperature superconductors, such as a large gap-to-T_c ratio compared to that of conventional superconductors. By deconstructing the extra dimension of these holographic models, similar phenomenology is described by a class of models defined in the natural dimension of the superconducting system. We analyze the sensitivity of certain observables in holographic and deconstructed holographic superconductors to details of the extra-dimensional spacetime. Our results support the notion that certain quantitative successes of simple models of this type are accidental. However, we also find a certain universal relationship between superconducting observables.