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arXiv · 1511.02444

Higher dimensional holographic superconductors in Born-Infeld electrodynamics with backreaction

Debabrata Ghorai·Sunandan Gangopadhyay
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Abstract

In this paper, we analytically investigate the properties of holographic superconductors in higher dimensions in the framework of Born-Infeld electrodynamics taking into account the backreaction of the spacetime using the Sturm-Liouville eigenvalue method. In the background of pure Einstein and Gauss-Bonnet gravity, based on a perturbative approach, we obtain the relation between the critical temperature and the charge density. Higher value of the backreaction and Born-Infeld parameters result in a harder condensation to form in both cases. The analytical results are found to agree with the existing numerical results. We also derive an expression for the condensation operator in $d$-dimensions which yields the critical exponent to be $1/2$.

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Debabrata Ghorai, Sunandan Gangopadhyay. 2016-03-11. Higher dimensional holographic superconductors in Born-Infeld electrodynamics with backreaction. https://doi.org/10.1140/epjc%2Fs10052-016-4005-0

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