Holographic Superconductors in Gauss-Bonnet gravity with Born-Infeld electrodynamics

TL;DR

This paper explores how Gauss-Bonnet gravity combined with Born-Infeld electrodynamics influences holographic superconductor phase transitions, revealing richer physics and effects on scalar hair formation and conductivity gap.

Contribution

It introduces a comprehensive analysis of holographic superconductors incorporating both Gauss-Bonnet gravity and Born-Infeld electrodynamics, highlighting their combined impact on phase transition characteristics.

Findings

Gauss-Bonnet constant affects scalar hair formation.

Model parameters influence the phase transition order.

The relation between conductivity gap and critical temperature is modified.

Abstract

We investigate the holographic superconductors in Gauss-Bonnet gravity with Born-Infeld electrodynamics. We find that the Gauss-Bonnet constant, the model parameters and the Born-Infeld coupling parameter will affect the formation of the scalar hair, the transition point of the phase transition from the second order to the first order, and the relation connecting the gap frequency in conductivity with the critical temperature. The combination of the Gauss-Bonnet gravity and the Born-Infeld electrodynamics provides richer physics in the phase transition and the condensation of the scalar hair.