{ "id": "1304.0308", "version": "v1", "published": "2013-04-01T07:47:20.000Z", "updated": "2013-04-01T07:47:20.000Z", "title": "Nambu-Goldstone modes and the Josephson supercurrent in the bilayer quantum Hall system", "authors": [ "Yusuke Hama", "George Tsitsishvili", "Zyun F. Ezawa" ], "comment": "43 pages, 5 figures. arXiv admin note: text overlap with arXiv:1207.0003, arXiv:1211.0384", "journal": "Prog. Theor. Exp. Phys. 2013, 053I01", "doi": "10.1093/ptep/ptt025", "categories": [ "cond-mat.mes-hall" ], "abstract": "An interlayer phase coherence develops spontaneously in the bilayer quantum Hall system at the filling factor $\\nu =1$. On the other hand, the spin and pseudospin degrees of freedom are entangled coherently in the canted antiferromagnetic phase of the bilayer quantum Hall system at the filling factor $\\nu =2$. There emerges a complex Nambu-Goldstone mode with a linear dispersion in the zero tunneling-interaction limit for both cases. Then its phase field provokes a Josephson supercurrent in each layer, which is dissipationless as in a superconductor. We study what kind of phase coherence the Nambu-Goldstone mode develops in association with the Josephson supercurrent and its effect on the Hall resistance in the bilayer quantum Hall system at $\\nu=1,2$, by employing the Grassmannian formalism.", "revisions": [ { "version": "v1", "updated": "2013-04-01T07:47:20.000Z" } ], "analyses": { "keywords": [ "bilayer quantum hall system", "josephson supercurrent", "interlayer phase coherence", "filling factor", "phase field provokes" ], "tags": [ "journal article" ], "publication": { "journal": "Progress of Theoretical and Experimental Physics", "year": 2013, "month": "May", "volume": 2013, "number": 5 }, "note": { "typesetting": "TeX", "pages": 43, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PTEP.2013e3I01H" } } }