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Phys. Rev. B 57, 11842–11845 (1998)

Anderson transitions in three-dimensional disordered systems with randomly varying magnetic flux

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Tohru Kawarabayashi
I. Institut für Theoretische Physik, Universität Hamburg, Jungiusstraße 9, D-20355 Hamburg, Germany
Institute for Solid State Physics, University of Tokyo, Roppongi, Minato-ku, Tokyo 106, Japan

Bernhard Kramer
I. Institut für Theoretische Physik, Universität Hamburg, Jungiusstraße 9, D-20355 Hamburg, Germany

Tomi Ohtsuki
Department of Physics, Sophia University, Kioi-cho 7-1, Chiyoda-ku, Tokyo 102, Japan

Received 20 November 1997; published in the issue dated 15 May 1998

The Anderson transition in three dimensions in a randomly varying magnetic flux is investigated in detail by means of the transfer-matrix method with high accuracy. Systems both with and without an additional random scalar potential are considered. We find a critical exponent of ν=1.45±0.09 with random scalar potential. Without it, ν is smaller but increases with the system size and extrapolates within the error bars to a value close to the above. The present results support the conventional classification of universality classes due to symmetry.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.57.11842
DOI:
10.1103/PhysRevB.57.11842
PACS:
71.30.+h, 71.23.-k, 72.15.Rn, 64.60.-i