{ "id": "cond-mat/9903275", "version": "v1", "published": "1999-03-18T05:01:23.000Z", "updated": "1999-03-18T05:01:23.000Z", "title": "Binding Transition in Quantum Hall Edge States", "authors": [ "Hsien-chung Kao", "Chia-Hung Chang", "Xiao-Gang Wen" ], "comment": "4 pages, RevTeX, 1 figure", "doi": "10.1103/PhysRevLett.83.5563", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "We study a class of Abelian quantum Hall (QH) states which are topologically unstable (T-unstable). We find that the T-unstable QH states can have a phase transition on the edge which causes a binding between electrons and reduces the number of gapless edge branches. After the binding transition, the single-electron tunneling into the edge gains a finite energy gap, and only certain multi-electron co-tunneling (such as three-electron co-tunneling for $\\nu=9/5$ edges) can be gapless. Similar phenomenon also appear for edge state on the boundary between certain QH states. For example edge on the boundary between $\\nu=2$ and $\\nu=1/5$ states only allow three-electron co-tunneling at low energies after the binding transition.", "revisions": [ { "version": "v1", "updated": "1999-03-18T05:01:23.000Z" } ], "analyses": { "keywords": [ "quantum hall edge states", "binding transition", "abelian quantum hall", "finite energy gap", "low energies" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "RevTeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }