Regensburg 2000 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 17: POSTER I
DY 17.3: Poster
Montag, 27. März 2000, 15:00–18:00, D
Wave function statistics in the Anderson model of localization — •V. Uski1, B. Mehlig2, R.A. Römer1, and M. Schreiber1 — 1Institut für Physik, Technische Universität, D-09107 Chemnitz — 2Universität Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg
We study statistical properties of the eigenfunctions
in the Anderson model of localization. In the
metallic regime, these are described by the Gaussian
ensembles of random matrix theory. As disorder is
increased, there occur deviations from the random matrix behavior
due to incipient localization.
We have computed wave functions in this regime
in the Anderson model in different dimensions at zero
and finite magnetic field, and have analysed deviations from the
predictions of random matrix theory in detail.
We also study the wave functions in the localized regime,
characterized by the occurrence of high wave function amplitudes.
Numerical results are compared to analytical predictions, based
on the the optimal fluctuation method and the non-linear σ-model.