Argument for a direct realization of the quantum metrological triangle

The quantum metrological triangle experiment, which is under development at the Bureau National de Metrologie-Laboratoire Central des Industries Electriques (BNM-LCIE), consists of applying Ohm's law directly to the quantities related to the single-electron tunnelling (SET) effect, the ac Josephson effect (JE) and the quantum Hall effect (QHE). The goal of this experiment is to test, at a significant level of uncertainty of about 1 part in 108, the coherence of the constants involved in these three quantum phenomena: the Josephson constant KJ, expected to correspond to the ratio 2e/h (where e is the elementary charge and h the Planck constant); the von Klitzing constant RK, in relation to the quantum resistance h/e2; and a new constant QX, defined here as the estimate of e. Moreover, realization of the metrological triangle experiment, combined with the experiment being developed at the NIST aimed at charging a capacitor by means of a SET pump, will give information liable to be taken into account in future adjustments of the fundamental constants without requiring any hypothesis regarding the physical phenomena involved. The combination of these two experiments should yield a new value of RK in ohms of the International System of Units (SI). The broad outlines of our experimental set-up are given, along with the expected uncertainties in both the short and long terms.

[1]  Michel Devoret,et al.  Single-Electron Pump Based on Charging Effects , 1992 .

[2]  B. Halperin.  Quantized Hall conductance, current carrying edge states, and the existence of extended states in a two-dimensional disordered potential , 1982 .

[3]  F. Bloch.  Josephson effect in superconducting ring , 1970 .

[4]  M. Devoret,et al.  Single-electron transfer in metallic nanostructures , 1992, Nature.

[5]  J. Martinis,et al.  A capacitance standard based on counting electrons , 1999, Conference on Precision Electromagnetic Measurements. Conference Digest. CPEM 2000 (Cat. No.00CH37031).

[6]  Michel Devoret,et al.  Frequency-locked turnstile device for single electrons , 1990 .

[7]  Alexander B. Zorin,et al.  Theory of the Bloch-wave oscillations in small Josephson junctions , 1985 .

[8]  E. R. Cohen,et al.  How Accurate are the Josephson and Quantum Hall Effects and QED , 1991 .

[9]  Samuel P. Benz,et al.  Programmable 1 V dc voltage standard , 1998, IEEE Trans. Instrum. Meas..

[10]  D. Thouless.  Topological interpretations of quantum Hall conductance , 1994 .

[11]  Michel Devoret,et al.  MINIATURE ELECTRICAL FILTERS FOR SINGLE ELECTRON DEVICES , 1995 .

[12]  John M. Martinis,et al.  Measuring the Electron’s Charge and the Fine-Structure Constant by Counting Electrons on a Capacitor , 1992, Journal of research of the National Institute of Standards and Technology.

[13]  Robert B. Laughlin,et al.  Quantized Hall conductivity in two-dimensions , 1981 .

[14]  John M. Martinis,et al.  Accuracy of electron counting using a 7‐junction electron pump , 1996 .

[15]  D. Reymann,et al.  Comparisons of 10 V Josephson array voltage standards between the BNM/LCIE and the BIPM , 1994 .

[16]  Konstantin K. Likharev,et al.  Possible Applications of the Single Charge Tunneling , 1992 .

[17]  F. Piquemal,et al.  Comparison of quantum Hall effect resistance standards of the BNM/LCIE and the BIPM , 1994 .

[18]  Jensen,et al.  Accuracy of the electron pump. , 1992, Physical review. B, Condensed matter.

[19]  S. Benz,et al.  Josephson voltage standard-a review , 1997, IEEE Transactions on Applied Superconductivity.

[20]  A. Hartland,et al.  The Quantum Hall Effect and Resistance Standards , 1992 .

[21]  Lukens,et al.  Test for relativistic gravitational effects on charged particlesp. , 1987, Physical review letters.

[22]  T. Fulton.  Implications of solid-state corrections to the Josephson voltage-frequency relation , 1973 .

[23]  D. Esteve.  Transferring Electrons One By One , 1992 .

[24]  R. Schoelkopf,et al.  The radio-frequency single-electron transistor (RF-SET): A fast and ultrasensitive electrometer , 1998, Science.

[25]  J. P. André,et al.  A first attempt to realize (multiple-QHE devices)-series array resistance standards , 1999, IEEE Trans. Instrum. Meas..

[26]  Gallagher,et al.  Direct comparison of the quantized Hall resistance in gallium arsenide and silicon. , 1991, Physical review letters.

[27]  R. Poepel.  The Josephson Effect and Voltage Standards , 1992 .

[28]  A. D. Inglis,et al.  Material, device, and step independence of the quantized Hall resistance , 1995 .

[29]  T. J. Witt,et al.  Comparison of quantum Hall effect resistance standards of the NIST and the BIPM , 1997 .