Frequency dependent transport in the integer quantum Hall effect

Abstract

The frequency dependent transport is investigated for a two-dimensional disordered system under QHE conditions. The real and imaginary parts of the conductivity are calculated numerically in linear response using a recursive Green function technique. The energy dependence of ${\sigma }_{xx}(E,\omega )$ is obtained within the lowest Landau band. When the width of the system exceeds the characteristic length, $L_{\omega }=(\hslash \omega \rho (E){)}^{-1/2}$, the maximum of the real part of ${\sigma }_{xx}(E,\omega )$ decays with frequency almost linearly which is different from the classical Drude behaviour.

2 pages incl. 3 eps-figures. Proceedings of the ICPS 25, Osaka, 17-22 September 2000