Regensburg 2000 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 17: POSTER I
DY 17.2: Poster
Montag, 27. März 2000, 15:00–18:00, D
Random matrix model for quantum dots with interactions — •André Wobst1 and Yoram Alhassid2 — 1Institut für Physik, Universität Augsburg, 86135 Augsburg — 2Center for Theoretical Physics, Yale University, New Haven, CT 06520, USA
We introduce a random matrix model for strongly interacting Fermi systems whose single-particle dynamics is chaotic. With this model we can study generic and universal effects associated with the interplay between one-body chaos and two-body interactions. The model is applied to calculate the peak spacing distribution and the conductance peak heights distribution in Coulomb blockade quantum dots with irregular shape. For the peak spacing statistics we find a crossover from a Wigner-Dyson distribution in the non-interacting limit to a Gaussian-like distribution which becomes broader with increasing interaction strength. The conductance peak heights distribution is insensitive to the interaction strength for a GOE single-particle statistics, while it makes a crossover from the GUE to the GOE distribution as a function of increasing interaction strength for a GUE single-particle statistics. These crossover distributions are well described by closed form expressions derived from random matrix theory. The universality is demonstrated within the interacting random matrix model for different model space sizes and fillings (after an appropriate scaling of the interaction strength), and for an Anderson model with Coulomb interaction.