J. Phys. I France
Volume 1, Numéro 7, July 1991
Page(s) 985 - 991
DOI: 10.1051/jp1:1991181
J. Phys. I France 1 (1991) 985-991

A theory of magnetoconductance in Anderson insulators

J.P. Bouchaud

Laboratoire de Physique Statistique 24 rue Lhomond, 75231 Paris Cedex 05, France

(Received 3 April 1991, accepted 26 April 1991)

We present a simple theory to understand the effect of magnetic field on the localisation length $\xi$ in Anderson insulators. For thin wires, we find that $\xi$ is doubled, a result recently derived through random matrix theories. For films or bulk samples, new results are obtained. In this case, the localisation length is multiplied by a non universal factor. We discussquantitatively the full dependence of $\xi$ on the magnetic field.

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