{ "id": "0809.3836", "version": "v1", "published": "2008-09-23T01:39:24.000Z", "updated": "2008-09-23T01:39:24.000Z", "title": "Ground state and edge excitations of quantum Hall liquid at filling factor 2/3", "authors": [ "Zi-Xiang Hu", "Hua Chen", "Kun Yang", "E. H. Rezayi", "Xin Wan" ], "comment": "12 pages, 13 figures", "journal": "Phys. Rev. B 78, 235315 (2008)", "doi": "10.1103/PhysRevB.78.235315", "categories": [ "cond-mat.mes-hall" ], "abstract": "We present a numerical study of fractional quantum Hall liquid at Landau level filling factor $\\nu=2/3$ in a microscopic model including long-range Coulomb interaction and edge confining potential, based on the disc geometry. We find the ground state is accurately described by the particle-hole conjugate of a $\\nu=1/3$ Laughlin state. We also find there are two counter-propagating edge modes, and the velocity of the forward-propagating mode is larger than the backward-propagating mode. The velocities have opposite responses to the change of the background confinement potential. On the other hand changing the two-body Coulomb potential has qualitatively the same effect on the velocities; for example we find increasing layer thickness (which softens of the Coulomb interaction) reduces both the forward mode and the backward mode velocities.", "revisions": [ { "version": "v1", "updated": "2008-09-23T01:39:24.000Z" } ], "analyses": { "subjects": [ "73.43.Lp", "73.43.Cd", "71.10.Pm" ], "keywords": [ "ground state", "edge excitations", "fractional quantum hall liquid", "background confinement potential", "long-range coulomb interaction" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2008, "month": "Dec", "volume": 78, "number": 23, "pages": 235315 }, "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhRvB..78w5315H" } } }