The von Klitzing resistance standard

The present state of the art of reproducing the SI unit for the electrical resistance, the ohm, by the quantum Hall effect is summarised including recent developments like quantum Hall arrays and AC measurements of the quantum Hall effect and their application in metrology. We further briefly discuss the role of the von Klitzing resistance standard for other SI units, in particular the kilogram.

[1]  Jaroslav Bohacek,et al.  The European ACQHE project: modular system for the calibration of capacitance standards based on the quantum Hall effect , 2002, Conference Digest Conference on Precision Electromagnetic Measurements.

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

[3]  Gammel,et al.  Low-frequency anomalies and scaling of the dynamic conductivity in the quantum Hall effect. , 1996, Physical review. B, Condensed matter.

[4]  T J Quinn.  News from the BIPM , 1989 .

[5]  Efetov,et al.  Low-frequency behavior of the kinetic coefficients in localization regimes in strong magnetic fields. , 1991, Physical review. B, Condensed matter.

[7]  Michael Gläser,et al.  Proposal for a novel method of precisely determining the atomic mass unit by the accumulation of ions , 1991 .

[8]  A. H. Wapstra,et al.  Atomic Masses and Fundamental Constants 5 , 2012 .

[9]  M. Gläser,et al.  Accumulation of decelerated gold ions , 2002 .

[10]  Torsten Funck,et al.  Measuring resistance standards in terms of the quantised Hall resistance with a dual Josephson voltage standard using SINIS Josephson arrays , 2002, Conference Digest Conference on Precision Electromagnetic Measurements.

[11]  T. J. Witt,et al.  New International Electrical Reference Standards Based on the Josephson and Quantum Hall Effects , 1989 .

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

[13]  J. Schurr,et al.  Adjusting the losses in an ac quantum Hall sample , 2002 .

[14]  K. Efetov,et al.  The Hall coefficient of disordered electronic systems in high magnetic fields , 1990 .

[15]  K. Klitzing,et al.  Hall effect under null current conditions , 1994 .

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

[17]  Blaise Jeanneret,et al.  The quantum Hall effect as an electrical resistance standard , 2001 .

[18]  F. Piquemal,et al.  RK/100 and RK/200 quantum Hall array resistance standards , 2002 .

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

[20]  A. Mackinnon,et al.  The calculation of transport properties and density of states of disordered solids , 1985 .

[21]  G. Dorda,et al.  New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance , 1980 .

[22]  K. Efetov,et al.  Frequency-dependent deformation of the Hall plateaux , 1991 .

[23]  A. M. Thompson,et al.  A New Theorem in Electrostatics and its Application to Calculable Standards of Capacitance , 1956, Nature.