Frequency Scaling of Microwave Conductivity in the Integer Quantum Hall Effect Minima

Details Frequency Scaling of Microwave Conductivity in the Integer Quantum Hall Effect Minima Frequency Scaling of Microwave Conductivity in the Integer Quantum Hall Effect Minima

2000-12-20

arxiv.org/abs/cond-mat/0012387v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

latex 4 pages, 4 figures

Scientific paper

10.1103/PhysRevB.64.073310

We measure the longitudinal conductivity $\sigma_{xx}$ at frequencies $1.246 {\rm GHz} \le f \le 10.05$ GHz over a range of temperatures $235 {\rm mK} \le T \le 4.2$ K with particular emphasis on the Quantum Hall plateaus. We find that $Re(\sigma_{xx})$ scales linearly with frequency for a range of magnetic field around the center of the plateaus, i.e. where $\sigma_{xx}(\omega) \gg \sigma_{xx}^{DC}$. The width of this scaling region decreases with higher temperature and vanishes by 1.2 K altogether. Comparison between localization length determined from $\sigma_{xx}(\omega)$ and DC measurements on the same wafer show good agreement.

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