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arXiv · 1312.1108

Holographic superconductivity in the large D expansion

Roberto Emparan·Kentaro Tanabe
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Abstract

We study holographic superconductivity by expanding the equations in the inverse of the number of spacetime dimensions D. We obtain an analytic expression for the critical temperature as a function of the conformal dimension of the condensate operator. Its accuracy for 3+1-dimensional superconductors is better than 15%. The analysis reveals a simple, and quantitative, explanation for the onset of the superconducting instability, as well as universal features of holographic superconductivity in the large D limit. In particular, this allows to easily compute the effects of backreaction on the critical temperature.

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Roberto Emparan, Kentaro Tanabe. 2013-12-10. Holographic superconductivity in the large D expansion. https://doi.org/10.1007/jhep01(2014)145

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