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Münster 1999 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 41: POSTER II

DY 41.26: Poster

Donnerstag, 25. März 1999, 09:30–13:00, Z

Incipient localisation in the Anderson model — •V. Uski1, B. Mehlig2, R. A. Römer1, and M. Schreiber11Institut für Physik, Technische Universität, D-09107 Chemnitz — 2Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, D-01187 Dresden

We study statistical properties of the eigenfunctions in the Anderson model of localisation. In the metallic regime, these are described by the Gaussian ensembles of random matrix theory. As disorder is increased, incipient localisation causes deviations from the random matrix behaviour [1,2]. We have computed wave functions in this regime in the one-, two- and three-dimensional Anderson models at zero and finite magnetic field, and have analysed deviations from the predictions of random matrix theory in detail. This allows us to compare with analytical predictions based on the optimal fluctuation method [1] and the non-linear σ-model [2].
[1] I. E. Smolyarenko and B. L. Altshuler, Phys. Rev. B 55, 10451 (1997).
Y. V. Fyodorov and A. D. Mirlin, Phys. Rev. B 51, 13403 (1995).

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