Localization properties of two interacting electrons in a disordered quasi one-dimensional potential

Authors: Richert J.1; Weidenmüller H.A.2

Source: Journal of Physics A: Mathematical and General, Volume 36, Number 12, 2003 , pp. 3281-3288(8)

Publisher: Institute of Physics Publishing

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Abstract:

We study the transport properties of two electrons in a quasi one-dimensional disordered wire. The electrons are subject to both a disorder potential and a short range two-body interaction. Using the approach developed by Iida et al (1990 Ann. Phys., NY200 219), the supersymmetry technique and a suitable truncation of Hilbert space, we work out the two-point correlation function in the framework of a nonlinear model. We study the loop corrections to arbitrary order. We obtain a remarkably simple and physically transparent expression for the change of the localization length caused by the two-body interaction.

Language: English

Document Type: Miscellaneous

Affiliations: 1: Laboratoire de Physique Théorique footnote id"3" pos"aaffil": UMR 7085, ULP/CNRS. /footnote: , Université Louis Pasteur, 67084 Strasbourg Cedex, France 2: Max-Planck-Institut für Kernphysik, D-69029 Heidelberg, Germany

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