Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-04-22
JHEP0809:121,2008
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, LaTeX, 5 figures. v2: Clarified and revised some of the discussion
Scientific paper
10.1088/1126-6708/2008/09/121
We study a system of a complex charged scalar coupled to a Reissner-Nordstrom black hole in 3+1 dimensional anti-de Sitter spacetime, neglecting back-reaction. With suitable boundary conditions, the cases of a neutral and purely electric black hole have been studied in various limits and were shown to yield key elements of superconductivity in the dual 2+1 dimensional field theory, forming a condensate below a critical temperature. By adding magnetic charge to the black hole, we immerse the superconductor into an external magnetic field. We show that a family of condensates can form and we examine their structure. For finite magnetic field, they are localized in one dimension with a profile that is exactly solvable, since it maps to the quantum harmonic oscillator. As the magnetic field increases, the condensate shrinks in size, which is reminiscent of the Meissner effect.
Albash Tameem
Johnson Clifford V.
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