Münster 1999 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe
DY: Dynamik und Statistische Physik
DY 41: POSTER II
DY 41.25: Poster
Donnerstag, 25. März 1999, 09:30–13:00, Z
Critical Statistics for Two Interacting Particles in a Disordered Chain [1] — •Dietmar Weinmann1, Xavier Waintal2, and Jean-Louis Pichard2 — 1Institut für Physik, Universität Augsburg, D-86135 Augsburg — 2CEN Saclay, SPEC, F-91191 Gif-sur-Yvette
For two particles in a disordered chain of length L with on-site interaction U, a duality transformation maps the behavior at weak interaction onto the behavior at strong interaction. Around the fixed point of this transformation, the interaction yields a maximum mixing of the one body states. When L≈ L1 (the one particle localization length), this mixing results in weak chaos accompanied by multifractal wave functions and critical spectral statistics, as in the one particle problem at the mobility edge or in certain pseudo-integrable billiards. In one dimension, a local interaction can only yield this weak chaos but can never drive the two particle system to full chaos with Wigner-Dyson statistics.
[1] cond-mat/9801134