Abstract
The cryogenic current comparator has played a central role in the realisation of electrical quantum standards over the last 40 years. It is the method of choice for National Measurement Laboratories in realising a quantum Hall effect primary standard of resistance. Single electron transport devices are expected to provide a primary standard of current within the next few years and this paper considers how they will be integrated into electrical metrology.
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References
I.K. Harvey, A precise low temperature dc ratio transformer, Rev. Sci. Instrum., 43(11) (1972) 1626–1629.
J. Gallop, The quantum electrical triangle, Philos. Trans. R. Soc. A, 363 (2005) 2221–2247.
J.M. Williams, Cryogenic current comparators and their application to electrical metrology, IET Sci. Meas. Technol., 5(6) (2011) 211–224.
I.K. Harvey, Cryogenic ac Josephson effect emf standard using a superconducting current comparator, Metrologia, 12 (1976) 47–54.
K. Von Klitzing, G. Dorda and M. Pepper, New method for high accuracy determination of the fine structure constant based on quantized Hall resistance, Phys. Rev. Lett., 45 (1980) 494–497.
A. Hartland, G.J. Davies and D.R. Wood, A measurement system for the determination of h/e 2 in terms of the SI Ohm and the maintained Ohm at the NPL, IEEE Trans. Instrum. Meas., IM-34(2) (1985) 309–314.
A. Hartland, R.G. Jones, B.P. Kibble and J. Legg, The relationship between the SI Ohm, the Ohm at NPL, and the quantized Hall resistance, IEEE Trans. Instrum. Meas., IM-36(2) (1987) 208–213.
F. Delahaye, A. Fau, D. Dominguez and M. Bellon, IEEE Trans. Instrum. Meas., IM-36(2) (1987) 205–207.
W. van der Wel, J.E. Mooij, C.J.P.M. Harmans, J.P. Andre, G. Weimann, K. Ploog, C.T. Foxon and J.J. Harris, A resistance ratio bridge based on a cryogenic current comparator for measuring the quantized Hall resistance, IEEE Trans. Instrum. Meas., 38(1) (1989) 54–58.
A. Hartland, The quantum Hall effect and resistance standards, Metrologia, 29 (1992) 175–190.
F. Delahaye, A. Satrapinsky and T.J. Witt, Recent determinations of R H in terms of \(\Upomega_{{\rm 69-BI}}\), IEEE Trans. Instrum. Meas., 38(2) (1989) 256–259.
T.J. Witt, F. Delahaye and D. Bournaud, The 1987 international comparison of \(1-\Upomega\) resistance standards at the BIPM and the resulting agreement among determinations of R H, IEEE Trans. Instrum. Meas., 38(2) (1989) 279–283.
B.V. Hamon (1954) A 1–100 \(\Upomega\) build-up resistor for the calibration of standard resistors, J. Sci. Instrum., 31 (1954) 450.
M.E. Cage, R.F. Dziuba, C.T. van Degrift and D. Yu, Determination of the time-dependence of \(\Upomega_{\rm NBS}\) using the quantized Hall resistance, IEEE Trans. Instrum. Meas., 38(2) (1989) 263–269.
K. Shida, T. Wada, H. Nishinaka, K. Segawa and T. Igarashi, SI value of quantized Hall resistance based on ETL’s calculable capacitor, IEEE Trans. Instrum. Meas., 38(2) (1989) 252–255.
B.N. Taylor and T.J. Witt, New international electrical reference standards based on the Josephson and quantum Hall effects, Metrologia, 26 (1989) 47–62.
A.D. Inglis and B.M. Wood, The Canadian realization of a quantized hall resistance standard, IEEE Trans. Instrum. Meas., 42(2) (1993) 144–147.
B. Jeckelmann, W. Fasel and B. Jeanneret, Improvements in the realization of the quantized Hall resistance standard at OFMET, IEEE Trans. Instrum. Meas., 44(2) (1995) 265–268.
G. Boella, I. Mihai, G. Marullo-Reedtz, P.P. Capra and E. Gasparotto, The IEN CCC bridge to scale the quantized Hall resistance to 1 \(\Upomega\) standards, IEEE Trans. Instrum. Meas., 54(2) (2005) 588-–591.
T.J. Witt, Electrical resistance standards and the quantum Hall effect, Rev. Sci. Instrum., 69(8) (1998) 2823–2843.
B. Jeckelmann and B. Jeanneret, The quantum hall effect as an electrical resistance standard, Rep. Prog. Phys., 64 (2001) 1603–1655.
F. Delahaye, D. Bournaud and T.J. Witt, Report on the 1990 international comparison of 1 \(\Upomega\) and 10 \({\rm k}\Upomega\) resistance standards at the BIPM, Metrologia, 29 (1992) 273–283.
F. Delahaye, T.J. Witt, F. Piquemal and G. Geneves, Comparison of quantum Hall effect resistance standards of the BNM/LCIE and the BIPM, IEEE Trans. Instrum. Meas., 44(2) (1995) 258–261.
F. Delahaye, T.J. Witt, B. Jeckelmann and B. Jeanneret, Comparison of quantum Hall effect resistance standards of the OFMET and the BIPM, Metrologia, 32 (1995) 385–388.
M. Gtz, D. Drung, E. Pesel, H.-J. Barthelmess, C. Hinnrichs, C. Amann, M. Peters, H. Scherer, B. Schumacher and T. Schurig, Improved cryogenic current comparator setup with digital current sources, IEEE Trans. Instrum. Meas., 58(4) (2009) 1176–1182.
J.M. Williams, T.J.B.M. Janssen, G. Rietveld and E. Houtzager, An automated cryogenic current comparator resistance ratio bridge for routine resistance measurements, Metrologia, 47 (2010) 167–174.
A. Hartland, K. Jones, J.M. Williams, B.L. Gallagher and T. Galloway, Direct comparison of the quantized Hall resistance in gallium-arsenide and silicon, Phys. Rev. Lett., 66(8) (1991) 969–973.
K.S. Novoselov, A.K.Geim, S.V. Morozov, D. Jiang, M.I. Katsnelson, I.V. Grigorieva, S.V. Dubonos and A.A. Firsov, Two-dimensional gas of massless Dirac fermions in graphene, Nature, 438 (2005) 197–200.
Y.B. Zhang, Y.W. Tan, H.L. Stormer and P. Kim, Experimental observation of the quantum Hall effect and Berrys phase in graphene, Nature, 438 (2005) 201–204.
A.H.C. Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov and A.K. Geim, The electronic properties of graphene, Rev. Mod. Phys., 81(1) (2009) 109–162.
A. Tzalenchuk, S. Lara-Avila, A. Kalaboukhov, S. Paolillo, M. Syvajarvi, R. Yakimova, O. Kazakova, T.J.B.M. Janssen, V. Falko and S. Kubatkin, Towards a quantum resistance standard based on epitaxial graphene, Nat. Nanotechnol., 5 (2010) 186–189.
T.J.B.M. Janssen, J.M. Williams, N.E. Fletcher, R. Goebel, A. Tzalenchuk, R. Yakimova, S. Lara-Avila, S. Kubatkin and V.I. Falko, Precision comparison of the quantum Hall effect in graphene and gallium arsenide, Metrologia, 49 (2012) 294–306.
F. Piquemal and G. Geneves, An argument for a direct realization of the quantum metrological triangle, Metrologia, 37 (2000) 207–211
M.D. Blumenthal, B. Kaestner, L. Li, S. Giblin, T.J.B.M. Janssen, M. Pepper, D. Andeerson, G. Jones and D.A. Ritchie, Gigahertz quantized charge pumping, Nat. Phys., 3 (2007) 343–347.
S.P. Giblin, M. Kataoka, J.D. Fletcher, P. See, T.J.B.M. Janssen, J.P. Griffiths, G.A.C. Jones, I. Farrer and D.A. Ritchie, Single electron pumps: towards a quantum representation of the ampere arXiv 1201.2533, (2012).
F. Gay, F. Piquemal and G. Geneves, Ultralow noise current amplifier based on a cryogenic current comparator, Rev. Sci. Instrum., 71(12) (2000) 4592–4595.
G. Rietveld, E. Bartolom, J. Ses, P. de la Court, J. Flokstra, C. Rillo and A. Camn, 1:30,000 cryogenic current comparator with optimum SQUID readout, IEEE Trans. Instrum. Meas., 52(2) (2003) 621–625.
R.E. Elmquist, E. Hourdakis, D.G. Jarrett and N.M. Zimmerman, Direct resistance comparisons from the QHR to 100 \(\hbox{M}\Upomega\) using a cryogenic current comparator, IEEE Trans. Instrum. Meas., 54(2) (2005) 525–528.
T.J.B.M. Janssen and A. Hartland, Accurate measurement of currents generated by single electrons transported in a one-dimensional channel, IEE Proc. Sci. Meas. Technol., 147(4) (2000) 174–176.
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This work was supported by the UK National Measurement System Physical Programme.
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Williams, J.M. Cryogenic Current Comparators for the Realisation of Electrical Quantum Standards. MAPAN 28, 335–340 (2013). https://doi.org/10.1007/s12647-013-0087-4
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DOI: https://doi.org/10.1007/s12647-013-0087-4