Characteristic length of an AdS/CFT superconductor
Kengo Maeda, Takashi Okamura
DOI 10.1103/PhysRevD.78.106006 · Physical Review D
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
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 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.
Similar papers
Superconducting Coherence Length and Magnetic Penetration Depth of a p-wave Holographic Superconductor
similarity 0.91Hua-Bi Zeng et al. · 2009 · arXiv:0912.4928
Source status unknown — claims are unverified
Dependence of the critical temperature and disorder in holographic superconductors on superfluid density
similarity 0.90Zhenguo Wang et al. · 2023 · arXiv:2312.16029
Source status unknown — claims are unverified
Characteristic length of a Holographic Superconductor with -wave gap
similarity 0.90Hua-Bi Zeng et al. · 2010 · arXiv:1006.5483
Source status unknown — claims are unverified
Superconducting coherence length and magnetic penetration depth of a p-wave holographic superconductor
similarity 0.89Hua-Bi Zeng et al.
Source status unknown — claims are unverified
Holographic superconductors with Hořava-Lifshitz black holes
similarity 0.89Rong-Gen Cai & Hai-Qing Zhang
Source status unknown — claims are unverified
Weyl holographic superconductor in the Lifshitz black hole background
similarity 0.89S. A. Hosseini Mansoori et al. · 2016 · arXiv:1602.07245
Source status unknown — claims are unverified