Regensburg 1998 – wissenschaftliches Programm

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TT: Tiefe Temperaturen

TT 21: Postersitzung III: Spin-Peierls-Systeme, Metall-Isolator-Übergang, Lokalisierung; SL: Theorie; Quantenflüssigkeiten und -kristalle; Amorphe Materialien, Tunnelsysteme; Borcarbide, Fullerene, konventionelle SL; SL dünner Filme; Experimentiertechniken

TT 21.24: Poster

Donnerstag, 26. März 1998, 15:00–18:30, D

Localization and Quantum Diffusion of Two Interacting Particles in a Random Potential — •O. Halfpap¹, T. Kawarabayashi², and B. Kramer¹ — ¹I. Institut für Theoretische Physik, Jungiusstraße 9, D-20355 Hamburg — ²ISSP, University of Tokyo, Roppongi, Minato-ku, Tokyo 106, Japan

We calculate the time evolution of two interacting electrons on a lattice which we obtained by discretizing the continuous Hamiltonian either in particle coordinates or in center of mass and relative coordinates. The decomposition method for the time evolution operator by Suzuki [1] is employed. We are especially interested in the influence of an interaction on the localization properties of the electrons. The localization length is calculated from the saturation of the second moment of the wave function in time for various disorder and interaction strengths. The diffusive time scale is analyzed in order to reveal possible mechanisms of interaction induced delocalization.

[1] M. Suzuki, Phys. Lett. A 146, 319 (1990)