{ "id": "cond-mat/9705186", "version": "v1", "published": "1997-05-19T16:10:19.000Z", "updated": "1997-05-19T16:10:19.000Z", "title": "Theory of directed localization in one dimension", "authors": [ "P. W. Brouwer", "P. G. Silvestrov", "C. W. J. Beenakker" ], "comment": "3 pages, RevTeX, 2 figures", "journal": "Phys. Rev. B 56, R4333 (1997)", "doi": "10.1103/PhysRevB.56.R4333", "categories": [ "cond-mat.mes-hall" ], "abstract": "We present an analytical solution of the delocalization transition that is induced by an imaginary vector potential in a disordered chain [N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1996), cond-mat/9603165]. We compute the relation between the real and imaginary parts of the energy in the thermodynamic limit, as well as finite-size effects. The results are in good agreement with numerical simulations for weak disorder (mean free path large compared to the wavelength).", "revisions": [ { "version": "v1", "updated": "1997-05-19T16:10:19.000Z" } ], "analyses": { "keywords": [ "directed localization", "mean free path large", "imaginary vector potential", "delocalization transition", "imaginary parts" ], "tags": [ "journal article" ], "note": { "typesetting": "RevTeX", "pages": 3, "language": "en", "license": "arXiv", "status": "editable" } } }