{ "id": "cond-mat/0402653", "version": "v2", "published": "2004-02-26T15:33:47.000Z", "updated": "2004-03-25T16:03:07.000Z", "title": "Charge and Statistics of Quasiholes in Pfaffian States of Composite Fermion Excitations", "authors": [ "Piotr Sitko" ], "comment": "10 pages (in Latex)", "journal": "Phys. Lett. A. Vol 324/2-3 (2004) pp 120-124", "doi": "10.1016/j.physleta.2004.02.067", "categories": [ "cond-mat.mes-hall" ], "abstract": "The charge of quasiparticles in Pfaffian states of composite fermion excitations (the presence of which is indicated by recent experiments) is found. At the filling fraction of the Pfaffian state $\\nu=p/q$ (of the lowest Landau level) the charge is $\\pm e/(2q)$. As in the case of the Pfaffian state of electrons the statistics of $N_{qh}$ quasiholes in the Pfaffian state corresponds to the spinor representation of $U(1)\\times SO(2N_{qh})$ (the continuous extension of the braid group). Here U(1) is given by the phase factor $e^{i({1/8}+\\frac{1}{4m})\\pi}$ with $m=1+\\alpha$, $\\alpha$ -- the exclusion statistics parameter of Jain quasiparticles. The possiblity of Read-Rezayi states of Jain quasiparticles is also discussed.", "revisions": [ { "version": "v2", "updated": "2004-03-25T16:03:07.000Z" } ], "analyses": { "keywords": [ "composite fermion excitations", "quasiholes", "jain quasiparticles", "exclusion statistics parameter", "lowest landau level" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }