Analytic study of Gauss-Bonnet holographic superconductors in Born-Infeld electrodynamics

Understand

Using Sturm-Liouville (SL) eigenvalue problem, we investigate several properties of holographic s-wave superconductors in Gauss-Bonnet gravity with Born-Infeld electrodynamics in the probe limit.

• Our analytic scheme has been found to be in good agreement with the numerical results.
• From our analysis it is quite evident that the scalar hair formation at low temperatures is indeed affected by both the Gauss-Bonnet as well as the Born-Infeld coupling parameters.
• We also compute the critical exponent associated with the condensation near the critical temperature.