Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-06-29
Phys.Rev.D82:126014,2010
Physics
High Energy Physics
High Energy Physics - Theory
last version, 10 pages, accepted by PRD
Scientific paper
10.1103/PhysRevD.82.126014
After the discovery of the $s$-wave and $p$-wave holographic superconductors, holographic models of $d$-wave superconductor have also been constructed recently. We study analytically the perturbation of the dual gravity theory to calculate the superconducting coherence length $\xi$ of the $d$-wave holographic superconductor near the superconducting phase transition point. The superconducting coherence length $\xi$ divergents as $(1-T/T_c)^{-1/2}$ near the critical temperature $T_c$. We also obtain the magnetic penetration depth $\lambda\propto(T_c-T)^{-1/2}$ 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.
Fan Zhe-Yong
Jiang Yu
Zeng Hua-Bi
Zong Hong-Shi
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