Effect of a back gate on the AC characteristics of quantum Hall devices

When measured with AC at kHz frequencies the quantized Hall resistance (QHR) of a quantum Hall sample is usually found to be current and frequency dependent. We show that these AC characteristics can be modified by applying an AC potential difference between a back gate and the two-dimensional electron gas. The QHR current coefficient varies with the gate voltage and can be made equal to zero by an appropriate voltage setting. In these conditions the QHR frequency dependence is also reduced.