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The European Physical Journal BISSN: 1434-6028 (printed version) Abstract Volume 5 Issue 3 (1998) pp 389-393 Universal conductance in quantum wires in the presence of Umklapp scattering
S. Fujimoto (1)(2) (a), N. Kawakami (3)
(1) Department of Physics, Theoretical Physics, University of Oxford, 1 Keble Road, Oxford, OX1 3NP, UK Received: 5 February 1998 / Received in final form: 16 March 1998 / Accepted: 17 April 1998 Abstract: The effects of Umklapp scattering on the zero-temperature conductance in one-dimensional quantum wires are reexamined by taking into account both the screening of external potential and the non-uniform chemical potential shift due to electron-electron interaction. It is shown that in the case away from half-filling the conductance is given by the universal value, 2e2/h, even in the presence of Umklapp scattering, owing to these renormalization effects of external potential. The conclusion is in accordance with the recent claim obtained for the system with non-interacting leads being attached to a quantum wire.
PACS. 71.10.Pm Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) - 72.15.Nj Collective modes (e.g., in one-dimensional conductors) - 72.10.Fk Scattering by point defects, dislocations, surfaces, and other imperfections (including Kondo effect)
(a) email: s.fujimoto1@physics.ox.ac.uk Article in PDF format (253 KB) Online publication: October 26, 1998 |