Two Interacting Electrons in a Disorder Potential: Localization Properties

Details Two Interacting Electrons in a Disorder Potential: Localization Properties Two Interacting Electrons in a Disorder Potential: Localization Properties

2002-12-10

arxiv.org/abs/cond-mat/0212210v1

Ann. Phys. (N.Y.) 306 (2003) 96 - 131

Physics

Condensed Matter

Disordered Systems and Neural Networks

46 pages, 1 figure

Scientific paper

10.1016/S0003-4916(03)00066-6

Two electrons move in a quasi one--dimensional wire under the influence of a short--range interaction. We restrict Hilbert space to those states where the two electrons are close to each other. Using supersymmetry, we present a complete analytical solution to this problem. The two--body interaction affects the density of states and, thereby, the localization length. We derive a criterion for the onset of changes of the localization length due to the two--body interaction.

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