Phases of Holographic Superconductors in an External Magnetic Field

Details Phases of Holographic Superconductors in an External Magnetic Field Phases of Holographic Superconductors in an External Magnetic Field

2009-06-02

arxiv.org/abs/0906.0519v1

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 4 figures

Scientific paper

We study a 2+1 dimensional model of superconductors using a 3+1 dimensional gravitational dual theory of a black hole coupled to a scalar field, with negative cosmological constant. In the presence of finite temperature T and a background magnetic field B, we use numerical and analytic techniques to solve the full Maxwell-scalar equations of motion in the background geometry, finding non-trivial localized solutions that correspond to condensate droplets, and to vortices. The properties of these solutions enable us to deduce several key features of the (B,T) phase diagram.

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