Effects of Metallic Gates on ac Measurements of the Quantum Hall Resistance

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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10 pages, 5 figures, accepted for publication in the CPEM 2002 Special Issue of the IEEE Trans I&M

Scientific paper

Using a sample with a split back-gate, a linear frequency dependence of the ac quantum Hall resistance was observed. The frequency coefficient, which is due to dielectric losses produced by leakage current between the 2DEG and the back-gates, can be turned from a positive to a negative values by increasing the back-gate voltage. More interestingly, by removing theses back-gates, the losses can be considerably reduced leading to a residual frequency coefficient on the order of (0.03+-0.03) ppm/kHz. Moreover, at 1 kHz, an extremely flat plateau was observed over a magnetic field range of 1.4 T. These results clearly indicate that the audio frequency dependence of the QHR is to a large extend related to the measurement apparatus and does not originate from the physical transport properties of the 2DEG.

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