{ "id": "cond-mat/9706233", "version": "v3", "published": "1997-06-23T21:56:39.000Z", "updated": "1997-10-02T04:09:43.000Z", "title": "Resonant scattering in a strong magnetic field: exact density of states", "authors": [ "T. V. Shahbazyan", "S. E. Ulloa" ], "comment": "12 pages + 3 figs", "journal": "Phys. Rev. Lett. 79 3478 (1997)", "doi": "10.1103/PhysRevLett.79.3478", "categories": [ "cond-mat.mes-hall" ], "abstract": "We study the structure of 2D electronic states in a strong magnetic field in the presence of a large number of resonant scatterers. For an electron in the lowest Landau level, we derive the exact density of states by mapping the problem onto a zero-dimensional field-theoretical model. We demonstrate that the interplay between resonant and non-resonant scattering leads to a non-analytic energy dependence of the electron Green function. In particular, for strong resonant scattering the density of states develops a gap in a finite energy interval. The shape of the Landau level is shown to be very sensitive to the distribution of resonant scatterers.", "revisions": [ { "version": "v3", "updated": "1997-10-02T04:09:43.000Z" } ], "analyses": { "keywords": [ "strong magnetic field", "exact density", "resonant scattering", "resonant scatterers", "lowest landau level" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }