{ "id": "cond-mat/0412589", "version": "v1", "published": "2004-12-21T19:06:04.000Z", "updated": "2004-12-21T19:06:04.000Z", "title": "Antidot tunneling between Quantum Hall liquids with different filling factors", "authors": [ "Vadim Ponomarenko", "Dmitri Averin" ], "comment": "5 two-column pages, 2 figures", "doi": "10.1103/PhysRevB.71.241308", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "We consider tunneling through two point contacts between two edges of Quantum Hall liquids of different filling factors $\\nu_{0,1}=1/ (2m_{0,1}+1)$ with $m_0-m_1\\equiv m>0$. Properties of the antidot formed between the point contacts in the strong-tunneling limit are shown to be very different from the $\\nu_0 =\\nu_1$ case, and include vanishing average total current in the two contacts and quasiparticles of charge $e/m$. For $m>1$, quasiparticle tunneling leads to non-trivial $m$-state dynamics of effective flux through the antidot which restores the regular ``electron'' periodicity of the current in flux despite the fractional charge and statistics of quasiparticles.", "revisions": [ { "version": "v1", "updated": "2004-12-21T19:06:04.000Z" } ], "analyses": { "keywords": [ "quantum hall liquids", "filling factors", "antidot tunneling", "point contacts", "vanishing average total current" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }