Anderson Transition in a Strong Magnetic Field

The Anderson transition in three-dimensional disordered systems in the presence of a magnetic field is investigated using a tight-binding Hamiltonian, where the magnetic field is incorporated via Peierls phase factors. Disorder is introduced via independent random diagonal elements distributed according to a box function. The localization lengths of the quasi-one-dimensional systems are calculated by using the transfer matrix method with periodic boundary conditions applied across the finite cross-section. The critical exponent is determined by exploiting the existence of a one-parameter scaling law. The result, ν = 1.35 ± 0.15, is, within the errors, the same as that obtained without a magnetic field.