Critical magnetic field in a holographic superconductor in Gauss-Bonnet gravity with Born-Infeld electrodynamics

Sheng-liang Cui; Zhao Xue

doi:10.1103/PhysRevD.88.107501

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Critical magnetic field in a holographic superconductor in Gauss-Bonnet gravity with Born-Infeld electrodynamics

Sheng-liang Cui, Zhao Xue

DOI 10.1103/PhysRevD.88.107501 · Physical Review D

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Abstract

In this paper, using matching method in the probe limit, we investigate some properties of a holographic superconductor in Gauss-Bonnet gravity with Born-Infeld electrodynamics. We discuss the effects of the Gauss-Bonnet coupling α and the Born-Infeld parameter b on the critical temperature and condensate. We find that both α and b make the critical temperature decrease, which makes it more difficult for the condensate to form. Moreover we study the magnetic effect on the holographic superconductor and obtain that the ratio between the critical magnetic field and the square of the critical temperature increases from zero as the temperature is lowered below the critical value Tc, which agrees well with previous results. We also find that the critical magnetic field is indeed affected by the Gauss-Bonnet coupling, but not by the Born-Infeld parameter.