{ "id": "2105.10182", "version": "v1", "published": "2021-05-21T07:49:35.000Z", "updated": "2021-05-21T07:49:35.000Z", "title": "Two-impurity scattering in quasi-one-dimensional systems", "authors": [ "A. S. Ioselevich", "N. S. Peshcherenko" ], "categories": [ "cond-mat.mes-hall" ], "abstract": "In a quasi-one-dimensional system (a tube) with low concentration of defects $n$ the resistivity $\\rho$ has peaks (van-Hove singularities) as a function of Fermi-energy. We show that due to non-Born scattering effects a deep narrow gap should appear just in the center of each peak. The resistivity at the bottom of a gap ($\\rho_{\\min}\\propto n^2$) is dominated by scattering at rare \"twin\" pairs of close defects, while scattering at solitary defects is suppressed. The predicted effect is characteristic for multi-channel systems, it can not be observed in strictly one-dimensional one.", "revisions": [ { "version": "v1", "updated": "2021-05-21T07:49:35.000Z" } ], "analyses": { "keywords": [ "quasi-one-dimensional system", "two-impurity scattering", "deep narrow gap", "low concentration", "solitary defects" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }