Characteristic length of a holographic superconductor with d-wave gap
Hua-Bi Zeng, Yu Jiang, Zhe-Yong Fan, Hong-Shi Zong
DOI 10.1103/PhysRevD.82.126014 · Physical Review D
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Abstract
After the discovery of the s-wave and p-wave holographic superconductors, holographic models of the d-wave superconductor have also been constructed recently. We study analytically the perturbation of the dual gravity theory to calculate the superconducting coherence length ξ of the d-wave holographic superconductor near the superconducting phase transition point. The superconducting coherence length ξ diverges as (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 s-wave and p-wave models, which are also the same as the Ginzburg-Landau theory.
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