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Frequency dependent transport in the integer quantum Hall effect

A. Bäker·L. Schweitzer
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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 $σ_{xx}(E,ω)$ is obtained within the lowest Landau band. When the width of the system exceeds the characteristic length, $L_ω=(\hbarωρ(E))^{-1/2}$, the maximum of the real part of $σ_{xx}(E,ω)$ decays with frequency almost linearly which is different from the classical Drude behaviour.

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A. Bäker, L. Schweitzer. 2001-02-23. Frequency dependent transport in the integer quantum Hall effect. https://arxiv.org/abs/cond-mat/0102424

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