Vortex and Droplet Engineering in Holographic Superconductors

Details Vortex and Droplet Engineering in Holographic Superconductors Vortex and Droplet Engineering in Holographic Superconductors

2009-06-09

arxiv.org/abs/0906.1795v2

Phys.Rev.D80:126009,2009

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.80.126009

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.

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