Münster 1997 – scientific programme

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TT: Tiefe Temperaturen

TT 14: Postersitzung II: Korrelierte Systeme(1-40), Theorie der Supraleitung(41-50), Metall-Isolator-Übergang, Lokalisierung(51-66), Niederdimensionale Systeme, Quantenhalleffekt(67-80), Pinning, kritische Ströme und Vortexdynamik(81-93), HTSL-Drähte und -Bänder(94-98), Massive HTSL(99-104), supraleitende Borkarbide(105-109)

TT 14.57: Poster

Wednesday, March 19, 1997, 15:00–18:30, Z1

Dimensionality scaling of level statistics at the Anderson transition — •I. Kh. Zharekeshev and B. Kramer — 1. Institut für Theoretische Physik, Universität Hamburg, Jungiusstraße 9, D-20355 Hamburg

The critical fluctuations in spectra of disordered systems are numerically calculated at the disorder induced metal–insulator transition for spatial dimensions 2 < d ≤ 6. From the scaling properties of the level statistics with the size of the system near the critical point [1] the d-dependence of the critical disorder W_c(d) is determined. The corresponding critical exponents of the correlation length ν(d) for higher dimensions are compared with the mean-field theory and results of the transfer-matrix computations on the Anderson model of localization for d ≤ 4 [2]. The influence of the dimensionality on the critical joint probability distribution of neighboring level spacings is investigated.

[1] I. Kh. Zharekeshev, B. Kramer, Phys. Rev. B 51, 17239 (1995)

[2] M. Schreiber, H. Grussbach, Phys. Rev. Lett. 76, 1687 (1996)