Characteristic length of an AdS/CFT superconductor

Journal Article · Sat Nov 15 00:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.106006· OSTI ID:21250959

Maeda, Kengo ^[1]; Okamura, Takashi ^[2]

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1. Department of Engineering, Shibaura Institute of Technology, Saitama, 330-8570 (Japan)
2. Department of Physics, Kwansei Gakuin University, Sanda, 669-1337 (Japan)

We investigate in more detail the holographic model of a superconductor recently found by Hartnoll, Herzog, and Horowitz [Phys. Rev. Lett. 101, 031601 (2008)], which is constructed from a condensate of a charged scalar field in AdS{sub 4}-Schwarzschild background. By analytically studying the perturbation of the gravitational system near the critical temperature T{sub c}, we obtain the superconducting coherence length proportional to 1/{radical}(1-T/T{sub c}) via AdS/CFT (anti-de Sitter/conformal field theory) 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.

• OSTI ID: 21250959
• Journal Information: Physical Review. D, Particles Fields, Vol. 78, Issue 10; Other Information: DOI: 10.1103/PhysRevD.78.106006; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
COHERENCE LENGTH
CONDENSATES
CONFORMAL INVARIANCE
CRITICAL TEMPERATURE
DE SITTER GROUP
DISTURBANCES
DUALITY
GINZBURG-LANDAU THEORY
HOLOGRAPHY
MAGNETIC FIELDS
ORDER PARAMETERS
PERTURBATION THEORY
QUANTUM FIELD THEORY
SCALAR FIELDS
SIMULATION
STRING MODELS
SUPERCONDUCTORS