{ "id": "0803.4205", "version": "v2", "published": "2008-03-29T22:13:54.000Z", "updated": "2008-09-24T03:06:35.000Z", "title": "Multi-channel Kondo Models in non-Abelian Quantum Hall Droplets", "authors": [ "Gregory A. Fiete", "Waheb Bishara", "Chetan Nayak" ], "comment": "4 pages, 1 figure; references updated, version to appear in PRL", "journal": "Phys. Rev. Lett. 101, 176801 (2008)", "doi": "10.1103/PhysRevLett.101.176801", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "We study the coupling between a quantum dot and the edge of a non-Abelian fractional quantum Hall state which is spatially separated from it by an integer quantum Hall state. Near a resonance, the physics at energy scales below the level spacing of the edge states of the dot is governed by a $k$-channel Kondo model when the quantum Hall state is a Read-Rezayi state at filling fraction $\\nu=2+k/(k+2)$ or its particle-hole conjugate at $\\nu=2+2/(k+2)$. The $k$-channel Kondo model is channel isotropic even without fine tuning in the former state; in the latter, it is generically channel anisotropic. In the special case of $k=2$, our results provide a new venue, realized in a mesoscopic context, to distinguish between the Pfaffian and anti-Pfaffian states at filling fraction $\\nu=5/2$.", "revisions": [ { "version": "v2", "updated": "2008-09-24T03:06:35.000Z" } ], "analyses": { "subjects": [ "73.43.-f", "71.10.Pm" ], "keywords": [ "non-abelian quantum hall droplets", "multi-channel kondo models", "non-abelian fractional quantum hall state", "integer quantum hall state" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2008, "month": "Oct", "volume": 101, "number": 17, "pages": 176801 }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhRvL.101q6801F" } } }