J. Phys. I France
Volume 4, Number 10, October 1994
Page(s) 1469 - 1477
DOI: 10.1051/jp1:1994201
J. Phys. I France 4 (1994) 1469-1477

Level curvature and metal-insulator transition in 3d Anderson model

K. 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 [1] 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.

© Les Editions de Physique 1994