Borel-Padé analysis for the two-dimensional electron in a random potential under a strong magnetic field

Abstract

Perturbational calculation of the diffusion constant limited to the lowest Landau level is studied for the two-dimensional electron in the presence of a strong magnetic field and random impurities. This expansion is asymptotic and the conductivity at the band center is estimated as ${\sigma }_{\mathrm{xx}}=\frac{1.4e^2}{{2\pi }^2\hslash }$ by the Borel-Padé approximation.