{ "id": "1103.1714", "version": "v3", "published": "2011-03-09T07:19:46.000Z", "updated": "2011-05-05T14:50:15.000Z", "title": "$d+id$ Holographic Superconductors", "authors": [ "Jiunn-Wei Chen", "Yu-Sheng Liu", "Debaprasad Maity" ], "comment": "24 pages,17 figures, Add more discussions on hall conductivity, two new figures, Matched with published version", "journal": "JHEP 1105:032,2011", "doi": "10.1007/JHEP05(2011)032", "categories": [ "hep-th", "cond-mat.supr-con", "gr-qc" ], "abstract": "A holographic model of $d+id$ superconductors based on the action proposed by Benini, Herzog, and Yarom [arXiv:1006.0731] is studied. This model has a charged spin two field in an AdS black hole spacetime. Working in the probe limit, the normalizable solution of the spin two field in the bulk gives rise to a $d+id$ superconducting order parameter at the boundary of the AdS. We calculate the fermion spectral function in this\\ superconducting background and confirm the existence of fermi arcs for non-vanishing Majorana couplings. By changing the relative strength $\\gamma $ of the $d$ and $id$ condensations, the position and the size of the fermi arcs are changed. When $\\gamma =1$, the spectrum becomes isotropic and the spectral function is s-wave like. By changing the fermion mass, the fermi momentum is changed. We also calculate the conductivity for these holographic $d+id$ superconductors where time reversal symmetry has been broken spontaneously. A non-vanishing Hall conductivity is obtained even without an external magnetic field.", "revisions": [ { "version": "v3", "updated": "2011-05-05T14:50:15.000Z" } ], "analyses": { "keywords": [ "holographic superconductors", "ads black hole spacetime", "fermi arcs", "external magnetic field", "fermion spectral function" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer", "journal": "Journal of High Energy Physics", "year": 2011, "month": "May", "volume": 2011, "pages": 32 }, "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable", "inspire": 891864, "adsabs": "2011JHEP...05..032C" } } }