paper

Vortex and Droplet Engineering in Holographic Superconductors

arXiv:0906.1795 · doi:10.1103/PhysRevD.80.126009

Abstract

We give a detailed account of the construction of non--trivial localized solutions in a 2+1 dimensional model of superconductors using a 3+1 dimensional gravitational dual theory of a black hole coupled to a scalar field. The solutions are found in the presence of a background magnetic field. We use numerical and analytic techniques to solve the full Maxwell--scalar equations of motion in the background geometry, finding condensate droplet solutions, and vortex solutions possessing a conserved winding number. These solutions and their properties, which we uncover, help shed light on key features of the (B,T) phase diagram.

31 pages, 10 figures. Included the discussion from arXiv:0906.0519 to make the paper self-contained

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