Holographic Superconductors with the General $RF^2$ type Couplings

TL;DR

This paper investigates how general non-minimal RF^2 couplings influence holographic s-wave superconductors, revealing that coupling parameters significantly affect the superconducting gap and conductivity features.

Contribution

It introduces a numerical analysis of RF^2-type couplings in holographic superconductors, highlighting their impact on physical properties like gap frequency and coherence peaks.

Findings

Larger deviations in parameter a_1 increase gap frequency deviations.

Smaller β and a_1 lead to stronger, narrower coherence peaks.

Coupling parameters significantly alter superconducting characteristics.

Abstract

We explore the effects of the general non-minimally coupled $RF^2$-type couplings on the holographic s-wave superconductors numerically in the Schwarzschild-AdS background. We calculate the condensation and conductivity of the model for the coupling parameters $a_1$ and $\beta$. We obtain that the bigger deviations of the parameter $a_1$ from the minimal case lead to the larger deviations of the gap frequency from the universal value $\omega_g/T_c \approx 8$. Moreover the smaller $\beta $ and $a_1$ cause to gradually stronger and narrower coherence peak.