General holographic superconductor models with Gauss-Bonnet corrections

TL;DR

This paper explores how Gauss-Bonnet corrections influence phase transitions, conductivity features, and critical ratios in holographic superconductor models within Einstein-Gauss-Bonnet gravity, revealing controllable properties through model parameters.

Contribution

It introduces a generalized holographic superconductor framework incorporating Gauss-Bonnet corrections, analyzing their effects on phase transition order, critical exponents, and conductivity characteristics.

Findings

Gauss-Bonnet term affects phase transition order and critical exponents.

Conductivity coherence peak size and strength are controllable.

Ratios of $ ext{g}/T_c$ vary with model parameters.

Abstract

We study general models for holographic superconductors in Einstein-Gauss-Bonnet gravity. We find that different values of Gauss-Bonnet correction term and model parameters can determine the order of phase transitions and critical exponents of second-order phase transitions. Moreover we find that the size and strength of the conductivity coherence peak can be controlled. The ratios $\omega_g/Tc$ for various model parameters have also been examined.