Vortex and Droplet Engineering in Holographic Superconductors
High Energy Physics - Theory
2009-12-31 v2
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.
Keywords
Cite
@article{arxiv.0906.1795,
title = {Vortex and Droplet Engineering in Holographic Superconductors},
author = {Tameem Albash and Clifford V. Johnson},
journal= {arXiv preprint arXiv:0906.1795},
year = {2009}
}
Comments
31 pages, 10 figures. Included the discussion from arXiv:0906.0519 to make the paper self-contained