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Single Electron Tunneling

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Introduction to Quantum Metrology
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Abstract

We begin this chapter with a brief presentation of the theory of single electron tunneling (SET) through a potential barrier. The conditions necessary for the observation and registration of this effect include a low temperature of a few kelvins and a small-sized sample. Low temperature will reduce the thermal energy that could interfere with the tunneling process. A small size of the tunneling junction is necessary to ensure its low electric capacitance. Further in this chapter we describe the basic electronic systems using SET: the SETT transistor, the electron pump, and the turnstile device. We discuss the attempts to construct a direct-current standard with SET junctions and explain why the results are unsatisfactory. We also describe two SET systems of more practical importance: the electron-counting capacitance standard (ECCS) and the Coulomb blockade thermometer (CBT).

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References

  1. L. Esaki, New phenomenon in narrow germanium p-n junctions. Phys. Rev. 109, 603–604 (1958)

    Google Scholar 

  2. I. Giaever, Energy gap in superconductors measured by electron tunneling. Phys. Rev. Lett. 5, 147–150 (1960)

    Google Scholar 

  3. H.D. Jensen, J.M. Martinis, Accuracy of the electron pump. Phys. Rev. B 46, 13407–13427 (1992)

    Article  ADS  Google Scholar 

  4. J.P. Kauppinen et al., Coulomb blockade thermometer: tests and instrumentation. Rev. Sci. Instrum. 69, 4166–4175 (1998)

    Article  ADS  Google Scholar 

  5. M.W. Keller et al., Accuracy of electron counting using a 7-junction electron pump. Appl. Phys. Lett. 69, 1804–1806 (1996)

    Article  ADS  Google Scholar 

  6. Ch. Kittel, Introduction to Solid State Physics (Wiley, New York, 1996)

    Google Scholar 

  7. A.N. Korotkov, D.V. Averin, K.K. Likharev, S.A. Vasenko, Single-Electron Transistors as Ultrasensitive Electrometers. Springer Series in Electronics and Photonics, vol. 31 (Springer, New York, 1992), pp. 45–59

    Google Scholar 

  8. W. Nawrocki, Introduction to Quantum Metrology (in Polish) (Publishing House of Poznan University of Technology, Poznan, 2007)

    Google Scholar 

  9. J.P. Pekola, K.P. Hirvi, J.P. Kauppinen, M.A. Paalanen, Thermometry by arrays of tunnel junctions. Phys. Rev. Lett. 73, 2903–2906 (1994)

    Article  ADS  Google Scholar 

  10. Y. Takahashi et al., Silicon single electron devices. Int. J. Electron. 86, 605–639 (1999)

    Article  Google Scholar 

  11. C. Urbina, et al., Manipulating Electrons One by One, Single-Electronics––Recent Developments. Springer Series in Electronics and Photonics, vol. 31 (Springer, Berlin, 1992), pp 23–44

    Google Scholar 

  12. N.M. Zimmerman, M.W. Keller, Electrical metrology with single electrons. Meas. Sci. Technol. 14, 1237–1242 (2003)

    Article  ADS  Google Scholar 

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Correspondence to Waldemar Nawrocki .

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Nawrocki, W. (2015). Single Electron Tunneling. In: Introduction to Quantum Metrology. Springer, Cham. https://doi.org/10.1007/978-3-319-15669-9_8

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