Hamburg 2001 – wissenschaftliches Programm
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TT: Tiefe Temperaturen
TT 25: Postersitzung III: Pinning und Vortexdynamik, Massive HTSL, Bandleiter, Transporteigenschaften in HTSL, SL dünner Filme, Elektronen und Phononen in HTSL, Tunneln, Borkarbide, Quantenphasen und Metall-Isolator-Überg
änge, Anwendungen, Sonstiges
TT 25.62: Poster
Donnerstag, 29. März 2001, 14:30–17:00, Rang S\ 3
Two and more interacting particles at a metal-insulator transition — •Cosima Schuster3, Andrzej Eilmes1, Rudolf A. Römer2, and Michael Schreiber2 — 1Department of Computational Methods in Chemistry, Jagiellonian University, 30-060 Kraków, Poland — 2Institut für Physik, Technische Universität, D-09107 Chemnitz — 3Institut für Physik, Universität Augsburg, D-86135 Augsburg
We study the influence of many-particle interactions on a metal-insulator transition. First, we consider the two interacting particle problem for onsite interacting particles on a one-dimensional quasi-periodic chain, the so-called Aubry-Andre 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. Second, we employ the density matrix renormalization scheme to investigate the finite density situation. We map out the entire phase diagram and find that there is a Peierls-like transition into a metallic state for attractive interactions. Our results also show agreement with a recent analytic renormalization group approach.