Frequency dependent transport in the integer quantum Hall effect

Details Frequency dependent transport in the integer quantum Hall effect Frequency dependent transport in the integer quantum Hall effect

2001-02-23

arxiv.org/abs/cond-mat/0102424v1

Proc. 25th Int. Conf. Phys. Semicond., Osaka 2000, Springer Proceedings in Physics 87, 975, 2001.

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

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, $L_{\omega}=(\hbar\omega \rho(E))^{-1/2}$, the maximum of the real part of $\sigma_{xx}(E,\omega)$ decays with frequency almost linearly which is different from the classical Drude behaviour.

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