Superconducting coherence length and magnetic penetration depth of a p-wave holographic superconductor
Hua-Bi Zeng, Zhe-Yong Fan, Hong-Shi Zong
DOI 10.1103/PhysRevD.81.106001 · Physical Review D
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Abstract
A classical SU(2) Einstein-Yang-Mills theory in (3+1)-dimensional anti–de Sitter spacetime is believed to be dual to a p-wave superconductor in (2+1)-dimensional flat spacetime. In order to calculate the superconducting coherence length ξ of the holographic superconductor near the superconducting phase transition point, we make a perturbative study of the gravity theory analytically. The superconducting coherence length ξ is found to be proportional to (1−T/Tc)−1/2 near the critical temperature Tc. We also obtain the magnetic penetration depth λ∝(Tc−T)1/2 by adding a small external homogeneous magnetic field. The results agree with the Ginzburg-Landau theory.
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