{ "id": "cond-mat/9904201", "version": "v1", "published": "1999-04-14T13:31:35.000Z", "updated": "1999-04-14T13:31:35.000Z", "title": "Nonuniversality in quantum wires with off-diagonal disorder: a geometric point of view", "authors": [ "P. W. Brouwer", "C. Mudry", "A. Furusaki" ], "comment": "12 pages, RevTeX; 3 figures included with epsf", "journal": "Nucl. Phys. B 565, 653 (2000)", "doi": "10.1016/S0550-3213(99)00518-0", "categories": [ "cond-mat.dis-nn", "cond-mat.mes-hall" ], "abstract": "It is shown that, in the scaling regime, transport properties of quantum wires with off-diagonal disorder are described by a family of scaling equations that depend on two parameters: the mean free path and an additional continuous parameter. The existing scaling equation for quantum wires with off-diagonal disorder [Brouwer et al., Phys. Rev. Lett. 81, 862 (1998)] is a special point in this family. Both parameters depend on the details of the microscopic model. Since there are two parameters involved, instead of only one, localization in a wire with off-diagonal disorder is not universal. We take a geometric point of view and show that this nonuniversality follows from the fact that the group of transfer matrices is not semi-simple. Our results are illustrated with numerical simulations for a tight-binding model with random hopping amplitudes.", "revisions": [ { "version": "v1", "updated": "1999-04-14T13:31:35.000Z" } ], "analyses": { "keywords": [ "off-diagonal disorder", "quantum wires", "geometric point", "nonuniversality", "scaling equation" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nucl. Phys. B" }, "note": { "typesetting": "RevTeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }