Superconducting Coherence Length and Magnetic Penetration Depth of a p-wave Holographic Superconductor

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 superconductiong coherence length $\xi$ of the holographic superconductor near the superconducting phase transition point, we study the perturbation of the gravity theory analytically. The superconductiong coherence length $\xi$ is found to be proportional to $(1-T/T_c{)}^{-1/2}$ 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 Ginzburg-Landau theory.

9 pages, 0 figures, three references added,accepted by PRD

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• Analytic investigation of holographic phase transitions influenced by dark matter sector
• Magnetic field in holographic superconductor with dark matter sector
• 1+1-dimensional p-wave superconductors from intersecting D-branes
• Characteristic length of a Holographic Superconductor with $d$-wave gap
• Black holes with $\mathfrak{su}(N)$ gauge field hair and superconducting horizons
• AdS Phase Transitions at finite κ
• Universality of critical magnetic field in holographic superconductor