Analytical study of critical magnetic field in a holographic superconductor

Details Analytical study of critical magnetic field in a holographic superconductor Analytical study of critical magnetic field in a holographic superconductor

2011-08-22

arxiv.org/abs/1108.4340v2

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 3 figures, reference added

Scientific paper

We analytically sutdy the effect of external magnetic field in a Holographic superconductor by using Sturm-Liouville method. We estimate the coefficient of proportionality at critical temperature and find its denpendence on external magnetic field. By exploring phase diagrams of critical temperature and magnetic field for various condensates, we conclude that a Meissner-like effect is a general feature in Holographic superconductors. We also study the quantum phase transition at zero temperature and find that critical charge density increases linearly with the condensate dimension.

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