Characteristic length of an AdS/CFT superconductor

Kengo Maeda, Takashi Okamura

研究成果: Article査読

57 被引用数 (Scopus)


We investigate in more detail the holographic model of a superconductor recently found by Hartnoll, Herzog, and Horowitz, which is constructed from a condensate of a charged scalar field in AdS4-Schwarzschild background. By analytically studying the perturbation of the gravitational system near the critical temperature Tc, we obtain the superconducting coherence length proportional to 1/1-T/Tc 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.

ジャーナルPhysical Review D - Particles, Fields, Gravitation and Cosmology
出版ステータスPublished - 2008 11月 13

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学
  • 物理学および天文学(その他)


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