A theory of magnetoconductance in Anderson insulators

Overview & Synopsis

We present a simple theory to understand the effect of magnetic field on the localisation length ξ in Anderson insulators. For thin wires, we find that ξ 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 ξ on the magnetic field.