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Localization Properties of Two Interacting Electrons in a Disordered Quasi One-Dimensional Potential

Jean Richert·Hans A. Weidenmuller
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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. [ Ann. Phys. (N.Y.) 200 (1990) 219 ], the supersymmetry technique, and a suitable truncation of Hilbert space, we work out the two-point correlation function in the framework of a non-linear sigma 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.

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Jean Richert, Hans A. Weidenmuller. 2002-06-26. Localization Properties of Two Interacting Electrons in a Disordered Quasi One-Dimensional Potential. https://doi.org/10.1088/0305-4470%2F36%2F12%2F324

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