Analytical calculation on critical magnetic field in holographic superconductors with backreaction

Details Analytical calculation on critical magnetic field in holographic superconductors with backreaction Analytical calculation on critical magnetic field in holographic superconductors with backreaction

2011-05-22

arxiv.org/abs/1105.4333v1

Physics

High Energy Physics

High Energy Physics - Theory

1+18 pages, 3 figures

Scientific paper

We investigate the effect of spacetime backreaction on the upper critical magnetic field for holographic superconductors by using the matching method. We first study the $(2+1)$-dimensional holographic superconductors and find that backreaction makes the upper critical magnetic field stronger inferring that condensation is harder to be formed because a stronger external magnetic field expels the condensate even more. We then consider the Einstein-Gauss-Bonnet case with backreaction, the upper critical magnetic field is also enhanced irrespective of the value of the Gauss-Bonnet coupling constant. The result is consistent with the previous numerical and analytical results.

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