Numerical results for two interacting particles in a random environment

Details Numerical results for two interacting particles in a random environment Numerical results for two interacting particles in a random environment

1999-08-18

arxiv.org/abs/cond-mat/9908256v1

Ann. Phys. (Leipzig) 8, 675-684 (1999)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages including 8 EPS/PS figures, uses annalen.cls (included), to appear in Ann. Phys. (Leipzig) 8, (1999) for the Proceedi

Scientific paper

10.1002/(SICI)1521-3889(199911)8

Much evidence has been collected to date which shows that repulsive electron-electron interaction can lead to the formation of particle pairs in a one-dimensional random energy landscape. The localization length \lambda_2 of these pair states is finite, but larger than the localization length \lambda_1 of the individual particles. After a short review of previous work, we present numerical evidence for this effect based on an analysis of the interaction matrix elements and an application of the decimation method. The results based on the decimation method for a two-dimensional disordered medium support the localization-delocalization transition of pair states predicted recently.

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