Analytical study on holographic superconductors in external magnetic field

Details Analytical study on holographic superconductors in external magnetic field Analytical study on holographic superconductors in external magnetic field

2010-02-26

arxiv.org/abs/1002.4901v2

Physics

High Energy Physics

High Energy Physics - Theory

revised version, to appear in JHEP

Scientific paper

We investigate the holographic superconductors immersed in an external magnetic field by using the analytical approach. We obtain the spatially dependent condensate solutions in the presence of the magnetism and find analytically that the upper critical magnetic field satisfies the relation given in the Ginzburg-Landau theory. We observe analytically the reminiscent of the Meissner effect where the magnetic field expels the condensate. Extending to the D-dimensional Gauss-Bonnet AdS black holes, we examine the influence given by the Gauss-Bonnet coupling on the condensation. Different from the positive coupling, we find that the negative Gauss-Bonnet coupling enhances the condensation when the external magnetism is not strong enough.

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