{ "id": "1006.5483", "version": "v4", "published": "2010-06-29T00:10:15.000Z", "updated": "2010-12-10T04:29:17.000Z", "title": "Characteristic length of a Holographic Superconductor with $d$-wave gap", "authors": [ "Hua-Bi Zeng", "Yu Jiang", "Zhe-Yong Fan", "Hong-Shi Zong" ], "comment": "last version, 10 pages, accepted by PRD", "journal": "Phys.Rev.D82:126014,2010", "doi": "10.1103/PhysRevD.82.126014", "categories": [ "hep-th", "cond-mat.str-el", "cond-mat.supr-con" ], "abstract": "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.", "revisions": [ { "version": "v4", "updated": "2010-12-10T04:29:17.000Z" } ], "analyses": { "subjects": [ "11.25.Tq", "74.20.-z" ], "keywords": [ "characteristic length", "wave gap", "wave holographic superconductor", "superconducting coherence length", "small external homogeneous magnetic field" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review D", "year": 2010, "month": "Dec", "volume": 82, "number": 12, "pages": 126014 }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "inspire": 859837, "adsabs": "2010PhRvD..82l6014Z" } } }