{ "id": "cond-mat/0009381", "version": "v1", "published": "2000-09-25T15:51:17.000Z", "updated": "2000-09-25T15:51:17.000Z", "title": "Scaling behavior in a quantum wire with scatterers", "authors": [ "D. Boese", "M. Lischka", "L. E. Reichl" ], "comment": "7 pages, 7 figures included; to be published in Phys. Rev. B", "journal": "Phys. Rev. B 62, 16933 (2000).", "doi": "10.1103/PhysRevB.62.16933", "categories": [ "cond-mat.mes-hall" ], "abstract": "We study the conductance properties of a straight two-dimensional quantum wire with impurities modeled by $s$-like scatterers. Their presence can lead to strong inter-channel coupling. It was shown that such systems depend sensitively on the number of transverse modes included. Based on a poor man's scaling technique we include the effect of higher modes in a renormalized coupling constant. We therefore show that the low-energy behavior of the wire is dominated by only a few modes, which hence is a way to reduce the necessary computing power. The technique is successfully applied to the case of one and two $s$-like scatterers.", "revisions": [ { "version": "v1", "updated": "2000-09-25T15:51:17.000Z" } ], "analyses": { "keywords": [ "scaling behavior", "scatterers", "straight two-dimensional quantum wire", "poor mans scaling technique", "necessary computing power" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }