{ "id": "cond-mat/0506050", "version": "v1", "published": "2005-06-02T13:35:09.000Z", "updated": "2005-06-02T13:35:09.000Z", "title": "On the Mott formula for thermopower of non-interactions electrons in quantum point contacts", "authors": [ "Anders Mathias Lunde", "Karsten Flensberg" ], "comment": "To be published in Journal of Physics: Condensed Matter (7 pages, 2 figures.)", "journal": "J. Phys.: Condens. Matter 17 (2005) 3879-3884.", "doi": "10.1088/0953-8984/17/25/014", "categories": [ "cond-mat.mes-hall" ], "abstract": "We calculate the linear response thermopower S of a quantum point contact using the Landauer formula and therefore assume non-interacting electrons. The purpose of the paper, is to compare analytically and numerically the linear thermopower S of non-interacting electrons to the low temperature approximation, S^1=(pi^2/3e)k^2 T d(ln G(mu,T=0))/dmu, and the so-called Mott expression, S^M=(pi^2/3e)k^2 T d(ln G(mu,T))/dmu, where G(mu,T) is the (temperature dependent) conductance. This comparison is important, since the Mott formula is often used to detect deviations from single-particle behavior in the thermopower of a point contact.", "revisions": [ { "version": "v1", "updated": "2005-06-02T13:35:09.000Z" } ], "analyses": { "keywords": [ "quantum point contact", "mott formula", "non-interactions electrons", "linear response thermopower", "low temperature approximation" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }