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Charging Effects and ‘Turnstile’ Clocking of Single Electrons in Small Tunnel Junctions

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Granular Nanoelectronics

Part of the book series: NATO ASI Series ((NSSB,volume 251))

Abstract

In materials consisting of small metal grains, coupled by tunnel barriers, at low temperatures the electrical properties are strongly influenced by charging effects resulting from the small capacitance of the grains. Because charge is transferred in discrete units (e for normal metal junctions, 2e or e for superconducting tunnel junctions), the energy change of the system during tunneling can be significant. If the energy of the system would increase, the tunneling is forbidden at zero temperature. This phenomenon is called Coulomb blockade of (electron) tunneling. Typical energy changes are of order EC ≡ e2/2C, so that the temperature must be below EC/k b to observe charging effects. Already in 1968 this effect of small grain capacitance was appreciated as well as observed experimentally (Giaever and Zeller, 1968, 1969; Lambe and Jaklevic, 1969).

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References

  • Ambegaokar, V., Eckern, U., and Schön, G., 1982, Quantum dynamics of tunneling between superconductors, Phys. Rev. Lett., 48: 1745.

    Article  ADS  Google Scholar 

  • Averin, D. V., and Likharev, K. K., 1986, Coulomb blockade of single-electron tunneling, and coherent oscillations in small tunnel junctions, J. Low Temp. Phys., 62: 345.

    Article  ADS  Google Scholar 

  • Averin, D. V., and Odintsov, A. A., 1989, Macroscopic quantum tunneling of the electric charge in small tunnel junctions, Phys. Lett., 140: A251.

    Article  Google Scholar 

  • Averin, D. V., and Likharev, K. K., 1990, Single-Electronics, to be published in “Quantum Effects in Small Disordered Systems”, eds. B. L. Al’tshuler, P. A. Lee and R. A. Webb (Elsevier, Amsterdam).

    Google Scholar 

  • Averin, D. V., and Schön, G., 1990, Single electron effects in small tunnel junctions, in “Proceedings of the NATO Advanced Study Institute on Quantum Coherence in Mesoscopic Systems,” Les Arcs, April 1990, Plenum Press, New York, in press.

    Google Scholar 

  • Bakhvalov, N. S., Kazacha, G. S., Likharev, K. K., and Serdyukova, S. I., 1989, Single-electron solitons in one-dimensional tunnel structures, Zh. Eksp. Teor. Fiz., 95: 1010 [Sov. Phys. JETP, 68: 581].

    ADS  Google Scholar 

  • Barner, J. B., and Ruggiero, S. T., 1987, Observation of the incremental charging of Ag particles by single electrons, Phys. Rev. Lett., 59: 807.

    Article  ADS  Google Scholar 

  • Ben-Jacob, E., Mottola, E., and Schön, G., 1983, Quantum shot noise in tunnel junctions, Phys. Rev. Lett., 51: 2064.

    Article  ADS  Google Scholar 

  • Brown, R., and Simánek, E., 1986, Transition to ohmic conduction in ultrasmall tunnel junctions, Phys. Rev. B, 34: 2957.

    Article  ADS  Google Scholar 

  • Brown, R. J., Pepper, M., Ahmed, H., Hasko, D. G., Ritchie, D. A., Frost, J. E. F., Peacock, D. C., and Jones, G. A. C., 1990, Differential negative resistance in a one-dimensional mesoscopic system due to single electron tunneling, J. Phys. C, 2: 2105.

    Google Scholar 

  • Büttiker, M., 1986, Quantum oscillations in ultrasmall normal loops and tunnel junctions, Physica Scripta T14: 82.

    Article  Google Scholar 

  • Büttiker, M., 1987, Zero-current persistent potential drop across small-capacitance Josephson junctions, Phys. Rev. B 36: 3548.

    Article  ADS  Google Scholar 

  • Büttiker, M., and Landauer, R., 1986, Traversal time for tunneling, IBM J. Res. Develop. 30: 451.

    Article  Google Scholar 

  • Cleland, A. N., Schmidt, J. M., and Clarke, J., 1990, Charge fluctuations in small-capacitance junctions, Phys. Rev. Lett. 64: 1565.

    Article  ADS  Google Scholar 

  • Delsing, P., Likharev, K. K., Kuzmin, L. S., and Claeson, T., 1989a, Effect of high-frequency electrodynamic environment on the single-electron tunneling in ultrasmall juncitons, Phys. Rev. Lett. 63: 1180.

    Article  ADS  Google Scholar 

  • Delsing, P., Likharev, K. K., Kuzmin, L. S., and Claeson, T., 1989b, Time-correlated single-electron tunneling in one-dimensional arrays of ultrasmall tunnel junctions, Phys. Rev. Lett. 63: 1861.

    Article  ADS  Google Scholar 

  • Devoret, M. H., Esteve, D., Grabert, H., Ingold, G.-L., Pothier, H., and Urbina, C., 1990, Effect of the electromagnetic environment on the Coulomb blockade in ultrasmall tunnel junctions, Phys. Rev. Lett. 64: 1824.

    Article  ADS  Google Scholar 

  • Eckern, U., Schön, G., and Ambegaokar, V., 1984, Quantum dynamics of a superconducting tunnel junction, Phys. Rev. B 30: 6419.

    Article  ADS  Google Scholar 

  • Esteve, D., 1990, private communication.

    Google Scholar 

  • Field, S. B., Kastner, M. A., Meirav, U., Scott-Thomas, J. H. F., Antoniadis, D. A., Smith, H. I., and Wind, S. J., 1990, Conductance oscillations periodic in the density of one-dimensional electron gases, preprint.

    Google Scholar 

  • Fulton, T. A., and Dolan, G. J., 1987, Observation of single-electron charging effects in small tunnel junctions, Phys. Rev. Lett. 59: 109.

    Article  ADS  Google Scholar 

  • Geerligs, L. J., Anderegg, V. F., van der Jeugd, C. A., Romijn, J., and Mooij, J. E., 1989, Influence of dissipation on the Coulomb blackade in small tunnel junctions, Europhys. Lett. 10: 79.

    Article  ADS  Google Scholar 

  • Geerligs, L. J., Anderegg, V. F., Holweg, P. A. M., Mooij, J. E., Pothier, H., Esteve, D., Urbina, C., and Devoret, M. H., 1990a, Frequency-locked turnstile device for single electrons, Phys. Rev. Lett., 64: 2691.

    Article  ADS  Google Scholar 

  • Geerligs, L. J., Averin, D. V., and Mooij, J. E., 1990b, Observation of macroscopic quantum tunneling of the electric charge, submitted for publication.

    Google Scholar 

  • Geigenmüller, U., and Schön, G., 1989, Single-electron effects in arrays of normal tunnel junctions, Europhys. Lett. 10: 765.

    Article  ADS  Google Scholar 

  • Giaever, I., and Zeller, H. R., 1968, Superconductivity of small tin particles measured by tunneling, Phys. Rev. Lett. 20: 1504.

    Article  ADS  Google Scholar 

  • Kouwenhoven, L., 1990, unpublished, observed a Coulomb staircase and field-independent conductance oscillations in a chain of quantum dots.

    Google Scholar 

  • Kuzmin, L. S., and Likharev, K. K., 1987, Direct experimental observation of discrete correlated single-electron tunneling, Pis’ma Zh. Teor. Eksp. Fiz. 45: 389 [JETP Lett. 45: 495].

    Google Scholar 

  • Kuzmin, L. S., and Safronov, M. V., 1988, Observation of one-electron Coulomb effects in end-type tunnel junctions, Pis’ma Zh. Teor. Eksp. Fiz. 48: 250 [JETP Lett. 48: 272]

    Google Scholar 

  • Kuzmin, L. S., Delsing, P., Claeson, T., and Likharev, K. K., 1989, Single-electron charging effects in one-dimensional arrays of ultrasmall tunnel junctions, Phys. Rev. Lett. 62: 2539.

    Article  ADS  Google Scholar 

  • Lambe, J., and Jaklevic, R. C., 1969, Charge-quantization studies using a tunnel capacitor, Phys. Rev. Lett. 22: 1371.

    Article  ADS  Google Scholar 

  • Likharev, K. K., 1987, Single-electron transistors: electrostatic analogs of the dc SQUIDS, IEEE Trans. Magn. 23: 1142.

    Article  ADS  Google Scholar 

  • Likharev, K. K., 1988, Correlated discrete transfer of single electrons in ultrasmall tunnel junctions, IBM J. Res. Develop. 32: 144.

    Article  Google Scholar 

  • Likharev, K. K., Bakhvalov, N. S., Kazacha, G. S., and Serdyukova, S. L, 1989, Single-electron tunnel junciton array: an electrostatic analog of the Josephson transmission line, IEEE Trans. Magn. 25: 1436.

    Article  ADS  Google Scholar 

  • Meirav, U., Kastner, M. A., Heiblum, M., and Wind, S. J., 1989, One-dimensional electron gas in GaAs: Periodic conductance oscillations as a function of density, Phys. Rev. B 40: 5871.

    Article  ADS  Google Scholar 

  • Mooij, J. E., van Wees, B. J., Geerligs, L. J., Peters, M., Fazio, R., and Schön, G., 1990, Charge-anticharge unbinding in two-dimensional arrays of tunnel junctions, Phys. Rev. Lett., 65: 645.

    Article  ADS  Google Scholar 

  • Mullen, K., Ben-Jacob, E., Jaklevic, R. C., and Schuss, Z., 1988, I–V characteristics of coupled ultrasmall-capacitance normal tunnel junctions, Phys. Rev. B 37: 98.

    Article  ADS  Google Scholar 

  • Nazarov, Yu. V., 1989a, Coulomb blockade of tunneling isolated junctions, Pis’ma Zh. Eskp. Teor. Fiz. 49: 105 [JETP Lett. 49: 126].

    Google Scholar 

  • Nazarov, Yu. V., 1989b, Anomalous current-voltage characteristics of tunnel junctions, Zh. Eskp. Teor. Fiz. 95: 975 [Sov. Phys. JETP 68: 561].

    Google Scholar 

  • Odintsov, A. A., 1988, Effect of dissipation on the characteristics of small-area tunnel junctions: Application of the polaron model, Zh. Eksp. Teor. Fiz. 94: 312 [Sov. Phys. JETP 67: 1265].

    Google Scholar 

  • Pothier, H., Esteve, D., Urbina, C., Orfila, P. F., Devoret, M., Geerligs, L. J., Anderegg, V. F., Holweg, P. A. M., and Mooij, J. E., 1990, Ecluse mono-electron pilotee par radio-frequence, internal report CEN Saclay. They also consider more detailed the explanation of the V-Vg curves.

    Google Scholar 

  • Schön, G., and Zaikin, A. D., 1990, Quantum coherent effects, phase transitions, and the dissipative dynamics of ultra small tunnel junctions, to be published in Physics Reports.

    Google Scholar 

  • Scott-Thomas, J. H. F., Field, S. B., Kastner, M. A., Smith, H. I., and Antoniadis, D. A., 1989, Conductance oscillations periodic in the density of a one-dimensional electron gas, Phys. Rev. Lett. 62: 583.

    Article  ADS  Google Scholar 

  • van Bentum, P. J. M., van Kempen, H., van de Leemput, L. E. C., and Teunissen, P. A. A., 1988a, Single-electron tunneling observed with point-contact tunnel junctions, Phys. Rev. Lett. 60: 369.

    Article  ADS  Google Scholar 

  • van Bentum, P. J. M., Smokers, R. T. M., and van Kempen, H., 1988b, INcremental charging of single small particles, Phys. Rev. Lett. 60: 2543.

    Article  ADS  Google Scholar 

  • van Houten, H., and Beenakker, C. W. J., 1989, Comment on Conductance oscillations periodic in the density of a one-dimensional electron gas, Phys. Rev. Lett. 63: 1893.

    Article  ADS  Google Scholar 

  • Wilkins, R., Ben-Jacob, E., and Jaklevic, R. C., 1989, Scanning-tunneling-microscope observations of Coulomb blockade and oxide polarization in small metal droplets, Phys. Rev. Lett. 63: 801.

    Article  ADS  Google Scholar 

  • Yoshikawa, N., Sugahara, M., and Murakami, T., 1989, The circuits of phase-quantum-tunneling device, IEEE Trans. Magn. 25: 1286.

    Article  ADS  Google Scholar 

  • Zeller, H. R., and Giaever, I., 1969, Tunneling, zero-bias anomalies, and small superconductors, Phys. Rev. 181: 789.

    Article  ADS  Google Scholar 

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Geerligs, L.J., Mooij, J.E. (1991). Charging Effects and ‘Turnstile’ Clocking of Single Electrons in Small Tunnel Junctions. In: Ferry, D.K., Barker, J.R., Jacoboni, C. (eds) Granular Nanoelectronics. NATO ASI Series, vol 251. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3689-9_25

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  • DOI: https://doi.org/10.1007/978-1-4899-3689-9_25

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