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Gauss–Bonnet holographic superconductors in exponential nonlinear electrodynamics

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Abstract

The low-energy limits of the string theory lead to the higher-order curvature corrections for Einstein gravity. Also, they give the higher-order derivative corrections for the Maxwell or linear electrodynamics, which suggests the nonlinear electrodynamics. Inspired by this, in this paper we investigate d-dimensional holographic superconductors in the probe limit in the framework of Einstein–Gauss–Bonnet gravity and exponential nonlinear electrodynamics. Based on the Sturm–Liouville eigenvalue method, we compute the critical temperature, the condensation value, and the critical exponent. It is observed that the critical temperature decreases when the Gauss–Bonnet (GB) parameter or the nonlinear parameter increases, but it increases with the higher dimension of the spacetime at the efficiently low charge density. In addition, we found that the condensation value becomes larger as increasing the GB parameter, the nonlinear parameter as well as the spacetime dimension. Finally, we calculate the optical conductivity and study the effects of the GB term and exponential nonlinear electrodynamics on superconducting energy gap.

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Notes

  1. The GB term appears in the heterotic string theory at which \(\alpha \) is regarded as the inverse string tension [55, 59]. Thus, in this paper only the case \(\alpha \ge 0\) is considered.

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Acknowledgements

We would like to express sincere gratitude to the referees for their constructive comments and suggestions which have helped us to improve the quality of the paper.

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  1. Institute of Research and Development, Duy Tan University, Da Nang, 550000, Vietnam

    Cao H. Nam

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Nam, C.H. Gauss–Bonnet holographic superconductors in exponential nonlinear electrodynamics. Gen Relativ Gravit 51, 104 (2019). https://doi.org/10.1007/s10714-019-2589-z

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