Universal conductance fluctuations in the presence of Landau quantization

We generalize the analytic theory of universal conductance fluctuations to systems with Landau-level quantization. Results are valid to leading order in 1/g (g is conductance) but for arbitrary magnetic field. We show that the field only enters through the diffusion constant and cancels in the variance of g, which hence remains ∼(${\mathit{e}}^2$/h${)}^2$ over the entire range of magnetic fields. However, the correlation range ${\mathit{B}}_{\mathit{c}}$ does vary with field in good agreement with experiments.