Microwave frequency dependence of integer quantum Hall effect: Evidence for finite-frequency scaling

L. W. Engel, D. Shahar, Ç. Kurdak, and D. C. Tsui
Phys. Rev. Lett. 71, 2638 – Published 18 October 1993
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Abstract

We present ac measurements of the diagonal conductivity σxx, in the integer quantum Hall regime for frequency f between 0.2 and 14 GHz and temperature T≥50 mK. Re(σxx) was obtained from the measured attenuation of a coplanar transmission line on the sample surface. For f≳1 GHz, σxx peaks between IQHE minima broaden as f increases, roughly as (ΔB)∝fγ, where ΔB is the peak width. γ=0.41±0.04 for spin-split peaks, and for spin-degenerate peaks γ=0.20±0.05. We interpret our data in terms of dynamic scaling. Our γ, when compared with existing estimates of the localization length exponent ν, is consistent with assigning a dynamic exponent z=1.

  • Received 8 June 1993

DOI:https://doi.org/10.1103/PhysRevLett.71.2638

©1993 American Physical Society

Authors & Affiliations

L. W. Engel, D. Shahar, Ç. Kurdak, and D. C. Tsui

  • Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544

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Issue

Vol. 71, Iss. 16 — 18 October 1993

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