Two Interacting Particles in a Random Potential: Numerical Calculations of the Interaction Matrix Elements

Author

Rudolf A. Romer
Michael Schreiber
Thomas Vojta, Missouri University of Science and TechnologyFollow

Abstract

We investigate the validity of mapping the problem of two onsite interacting particles in a random potential onto an effective random matrix model. To this end we study numerically how the non-interacting basis is coupled by the interaction. Our results indicate that the typical coupling matrix element decreases significantly faster with increasing single-particle localization length than is assumed in the random matrix model. This leads to a much weaker enhancement than proposed earlier. We also discuss how Imry's block-scaling picture for two interacting particles is influenced by these data.

Recommended Citation

R. A. Romer et al., "Two Interacting Particles in a Random Potential: Numerical Calculations of the Interaction Matrix Elements," physica status solidi (b), vol. 211, no. 2, pp. 681 - 691, Wiley-VCH Verlag, Feb 1999.

The definitive version is available at https://doi.org/10.1002/(SICI)1521-3951(199902)211:2<681::AID-PSSB681>3.0.CO;2-I

Department(s)

Physics

International Standard Serial Number (ISSN)

0370-1972

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1999 Wiley-VCH Verlag, All rights reserved.

Publication Date

01 Feb 1999