Johnson-Nyquist noise of the quantized Hall resistance

This paper reports on the thermal noise power of the quantum Hall and longitudinal resistance, measured without and with an external current. The results not only verify the expected behaviour and allow interesting insights into the quantum Hall effect but also demonstrate that the conventional ac measuring technique is suitable to take the noise as the signal and to reliably measure tiny effects with a resolution of 10 pV.

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

[2]  B P Kibble,et al.  Johnson–Nyquist Noise of the Quantized Hall Resistance , 2010, IEEE Transactions on Instrumentation and Measurement.

[3]  Jürgen Schurr,et al.  Realizing the farad from two ac quantum Hall resistances , 2009 .

[4]  Jörn Beyer,et al.  Practical noise thermometers for low temperatures , 2009 .

[5]  F. Delahaye,et al.  Low-noise measurements of the quantized hall resistance using an improved cryogenic current comparator bridge , 1990 .

[6]  Kenji Ikushima,et al.  THz imaging of cyclotron emission in quantum Hall conductors , 2006 .

[7]  D. Glattli,et al.  Quantum shot noise of conductors and general noise measurement methods , 2009 .

[8]  K. H. Ploog,et al.  Imaging of the dissipation in quantum-Hall-effect experiments , 1991 .

[9]  Klaus Pierz,et al.  Controlling Losses With Gates and Shields to Perfect a Quantum Hall Impedance Standard , 2009, IEEE Transactions on Instrumentation and Measurement.

[10]  Jürgen Schurr,et al.  A novel double-shielding technique for ac quantum Hall measurement , 2008 .

[11]  F. C. Fitchen,et al.  Low-Noise Electronic Design , 1973 .

[12]  Steinbach,et al.  Observation of hot-electron shot noise in a netallic resistor. , 1996, Physical review letters.

[13]  L. J. Challis,et al.  Power dissipation in the quantum Hall regime , 1990 .

[14]  L. DiCarlo,et al.  Shot noise in graphene. , 2007, Physical review letters.

[15]  W. Schottky Über spontane Stromschwankungen in verschiedenen Elektrizitätsleitern , 1918 .

[16]  H. Nyquist Thermal Agitation of Electric Charge in Conductors , 1928 .

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