2010/06/30 by Hua-Bi Zeng, Yu Jiang, Zheyong Fan +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Coherence length #Condensed matter physics #Cosmology and Gravitation Theories #Holography #Lambda #London penetration depth #Magnetic field #Noncommutative and Quantum Gravity Theories #Penetration depth #Physics #Quantum mechanics #Superconducting coherence length #Superconductivity #cond-mat.str-el #cond-mat.supr-con #hep-th
paper · pdf · doi:10.1103/physrevd.82.126014
published as Phys.Rev.D82:126014,2010 · last version, 10 pages, accepted by PRD
arxiv created 2010/12/10 · openalex publication_date 2010/12/28 · arxiv updated 2011/02/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 \ensuremathξ of the d-wave holographic superconductor near the superconducting phase transition point. The superconducting coherence length \ensuremathξ diverges as (1\ensuremath-T/Tc)^\ensuremath-1/2 near the critical temperature Tc. We also obtain the magnetic penetration depth \ensuremathλ\ensuremath∝(Tc\ensuremath-T)^\ensuremath-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.