Holographic superconductor models with $RF^{2}$ corrections

TL;DR

This paper studies how $RF^2$ corrections influence holographic superconductor models in AdS black hole backgrounds, revealing effects on scalar condensation and differences from Weyl corrections.

Contribution

It introduces the impact of $RF^2$ corrections on holographic superconductors and compares their effects to Weyl corrections, highlighting their distinct roles in black hole hair and condensation.

Findings

$RF^2$ correction facilitates scalar condensation.

Higher $RF^2$ correction causes larger deviations in gap frequency.

Differences observed in black hole hair behavior with $RF^2$ and Weyl corrections.

Abstract

We investigate the effect of the $RF^2$ correction on the holographic superconductor model in the background of AdS black hole. We find that, similar to the effect caused by the Weyl correction, the higher $RF^2$ correction term can make it easier for the scalar operator to condense and result in the larger deviations from the expected relation in the gap frequency. However, if a non-trivial hair for the black hole has been triggered, we observe that the $RF^2$ correction and the Weyl correction do play different roles in the behavior of the condensation, which can be used to support the existing findings.