J. Phys. I France 4 (1994) 1469-1477
Level curvature and metal-insulator transition in 3d Anderson modelK. Zyczkowski1, L. Molinari2 and F. M. Izrailev3
1 Uniwersytet Jagiellonski, Instytut Fizyki, ul.Reymonta 4, 30-059 Krakow, Poland
2 Dipartimento di Fisica and INFN, Via Celoria 16, 20133 Milano, Italy
3 Budker Institute of Nuclear Physics, 630090 Novosibirsk, Russia
(Received 4 January 1994, revised 19 May 1994, accepted 5 July 1994)
The level curvature in the Anderson model on a cubic lattice is numerically investigated as an indicator of the metallic-insulator transition. It is shown that the mean curvature obeys a scaling law in the whole range of the disorder parameter. In the metallic regime, the distribution of rescaled curvatures is found to be well described by a formula proposed by Zakrzewski and Delande  for random matrices, implying a relation similar to that by Thouless. In the localized regime the distribution of curvatures is approximated by a log-normal distribution.
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