Characteristic length of an AdS/CFT superconductor

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dc.creatorMaeda, Kengo
dc.creatorOkamura, Takashi
dc.date2008-09-18
dc.date2008-10-30
dc.date.accessioned2026-07-07T12:15:42Z
dc.date.available2026-07-07T12:15:42Z
dc.descriptionWe investigate in more detail the holographic model of a superconductor recently found by Hartnoll, Herzog, and Horowitz [Phys. Rev. Lett. 101, 031601], which is constructed from a condensate of a charged scalar field in AdS_4-Schwarzschild background. By analytically studying the perturbation of the gravitational system near the critical temperature T_c, we obtain the superconducting coherence length proportional to 1/\sqrt{1-T/T_c} via AdS/CFT correspondence. By adding a small external homogeneous magnetic field to the system, we find that a stationary diamagnetic current proportional to the square of the order parameter is induced by the magnetic field. These results agree with Ginzburg-Landau theory and strongly support the idea that a superconductor can be described by a charged scalar field on a black hole via AdS/CFT duality.
dc.description9 pages, no figure; v2: typos corrected; v3: version to appear in PRD, an early discussion based on convensional superconductor with dynamical photon removed and an argument about the type of the holographic superconductor added
dc.identifierhttps://arxiv.org/abs/0809.3079
dc.identifierhttp://arxiv.org/abs/0809.3079
dc.identifierPhys.Rev.D78:106006,2008
dc.identifierdoi:10.1103/PhysRevD.78.106006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211565
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleCharacteristic length of an AdS/CFT superconductor
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