An analytic analysis of d-dimensional Gauss–Bonnet holographic superconductor in Born–Infeld electrodynamics

Abstract

We employ the simple analytic method and the variational method of the Strum–Liouville (S–L) eigenvalue problem to analytically study the holographic superconductor phase transition in Gauss–Bonnet gravity with Born–Infeld (BI) electrodynamics in the probe limit, respectively. We find that the scalar hair formation at low temperatures is indeed affected by the Gauss–Bonnet as well as the BI coupling parameters, but also by the scalar field mass and the spacetime dimensional. Our analytic result has been found in agreement with the numerical results.