Regensburg 2002 – wissenschaftliches Programm
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HL: Halbleiterphysik
HL 11: Poster 1
HL 11.1: Poster
Montag, 11. März 2002, 17:00–19:30, Poster A
Localization properties of two interacting particles in a quasi-periodic potential with a metal-insulator transition — •Rudolf A. Römer2, Andrzej Eilmes1, and Michael Schreiber2,3 — 1Department of Computational Methods in Chemistry, Jagiellonian University, Ingardena 3, 30-060 Kraków — 2Institut für Physik, Technische Universität, D-09107 Chemnitz — 3International University Bremen, D-28725 Bremen
We study the influence of many-particle interactions on a metal-insulator transition. We consider the two-interacting-particle problem for onsite interacting particles on a one-dimensional quasiperiodic chain, the so-called Aubry-André model. We show numerically by the decimation method and finite-size scaling that the interaction does not modify the critical parameters such as the transition point and the localization-length exponent. We compare our results to the case of finite density systems studied by means of the density-matrix renormalization scheme.
[1] A. Eilmes, R. A. Römer, M. Schreiber, Eur. Phys. J. B 23, 229 (2001).