{ "id": "0712.0960", "version": "v1", "published": "2007-12-06T15:15:44.000Z", "updated": "2007-12-06T15:15:44.000Z", "title": "Persistent current of correlated electrons in mesoscopic ring with impurity", "authors": [ "Roman Krcmar", "Andrej Gendiar", "Martin Mosko", "Radoslav Nemeth", "Pavel Vagner", "Lubos Mitas" ], "comment": "Conference proceedings. Accepted for publication in Physica E", "journal": "Physica E 40 (2008) 1507", "doi": "10.1016/j.physe.2007.09.074", "categories": [ "cond-mat.mes-hall" ], "abstract": "The persistent current of correlated electrons in a continuous one-dimensional ring with a single scatterer is calculated by solving the many-body Schrodinger equation for several tens of electrons interacting via the electron-electron (e-e) interaction of finite range. The problem is solved by the configuration-interaction (CI) and diffusion Monte Carlo (DMC) methods. The CI and DMC results are in good agreement. In both cases, the persistent current $I$ as a function of the ring length $L$ exhibits the asymptotic dependence $I \\propto L^{-1-\\alpha}$ typical of the Luttinger liquid, where the power $\\alpha$ depends only on the e-e interaction. The numerical values of $\\alpha$ agree with the known formula of the renormalisation-group theory.", "revisions": [ { "version": "v1", "updated": "2007-12-06T15:15:44.000Z" } ], "analyses": { "keywords": [ "persistent current", "correlated electrons", "mesoscopic ring", "many-body schrodinger equation", "diffusion monte carlo" ], "tags": [ "conference paper", "journal article" ], "publication": { "journal": "Physica E Low-Dimensional Systems and Nanostructures", "year": 2008, "month": "Mar", "volume": 40, "number": 5, "pages": 1507 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhyE...40.1507K" } } }