AC longitudinal and contact resistance measurements of quantum Hall devices

A new coaxial measurement system has been developed to investigate the ac longitudinal resistance along the high-potential side of the quantum Hall resistance (QHR). A novel equivalent circuit of the QHR is used to analyse the ac measurements of the longitudinal resistances along both the low- and high-potential sides of the QHR sample. In addition, a bridge for the measurement of ac contact resistances of the sample is presented. For the first time, it is now possible to perform all the ac measurements whose dc equivalents are well established for reliable dc quantum Hall measurements. While the ac longitudinal resistances on the high- and low-potential sides of the sample are very similar, interesting differences have been observed at high resolution.

[1]  J. Melcher,et al.  AC behaviour and loss phenomena in quantum Hall samples , 2002 .

[2]  Tsui,et al.  Experiments on delocalization and universality in the integral quantum Hall effect. , 1988, Physical review letters.

[3]  B. Jeckelmann,et al.  Revised technical guidelines for reliable dc measurements of the quantized Hall resistance , 2003 .

[4]  Pruisken,et al.  Universal singularities in the integral quantum Hall effect. , 1988, Physical review letters.

[5]  François Piquemal,et al.  AC measurements of the minimum longitudinal resistance of a QHE sample from 10 Hz to 10 kHz , 1996 .

[6]  Frédéric Overney,et al.  Effects of metallic gates on AC measurements of the quantum Hall resistance , 2003, IEEE Trans. Instrum. Meas..

[7]  Barry M. Wood,et al.  Influence of the dissipation in AC measurements of the quantized Hall resistance , 2005, IEEE Transactions on Instrumentation and Measurement.

[8]  B. P. Kibble,et al.  Controlling ac losses in quantum Hall effect devices , 2000 .

[9]  Incompressible strips in dissipative Hall bars as origin of quantized Hall plateaus , 2004, cond-mat/0406199.

[10]  K. Klitzing,et al.  Potential drops across quantum Hall effect samples — in the bulk or near the edges? , 1996 .

[11]  D. Chklovskii,et al.  Electrostatics of edge channels. , 1992, Physical review. B, Condensed matter.

[12]  J. Melcher,et al.  Comparison of precision AC and DC measurements with the quantized Hall resistance , 1993 .

[13]  B. W. Ricketts,et al.  Quantum Hall effect devices as circuit elements , 1988 .

[14]  Sze Wey Chua,et al.  Measurement of the ac quantized Hall resistance , 1999, IEEE Trans. Instrum. Meas..

[15]  F. Delahaye,et al.  Series and parallel connection of multiterminal quantum Hall‐effect devices , 1993 .

[16]  H. Shtrikman,et al.  EVIDENCE FOR BULK CURRENT IN HALL BAR SAMPLES AND POTENTIAL SCREENING IN THE INTEGER QUANTUM HALL EFFECT , 1998 .

[17]  K. Klitzing,et al.  Hall potential distribution in quantum Hall experiments , 1985 .

[18]  Luca Callegaro,et al.  Measurements of the ac longitudinal resistance of a GaAs-AlGaAs quantum Hall device , 1999, IEEE Trans. Instrum. Meas..

[19]  F. Delahaye,et al.  Accurate AC Measurements of the Quantized Hall Resistance from 1 Hz to 1,6 kHz , 1995 .