arXiv · cond-mat/0012387
Frequency Scaling of Microwave Conductivity in the Integer Quantum Hall Effect Minima
Abstract
We measure the longitudinal conductivity $σ_{xx}$ 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 $Re(σ_{xx})$ scales linearly with frequency for a range of magnetic field around the center of the plateaus, i.e. where $σ_{xx}(ω) \gg σ_{xx}^{DC}$. The width of this scaling region decreases with higher temperature and vanishes by 1.2 K altogether. Comparison between localization length determined from $σ_{xx}(ω)$ and DC measurements on the same wafer show good agreement.
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R. M. Lewis, J. P. Carini. 2000-12-20. Frequency Scaling of Microwave Conductivity in the Integer Quantum Hall Effect Minima. https://doi.org/10.1103/physrevb.64.073310
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