Real-time detection of electron tunnelling in a quantum dot (original) (raw)

Nature volume 423, pages 422–425 (2003) Cite this article

Abstract

Nanostructures in which strong (Coulomb) interactions exist between electrons are predicted to exhibit temporal electronic correlations1. Although there is ample experimental evidence that such correlations exist2, electron dynamics in engineered nanostructures have been observed directly only on long timescales3. The faster dynamics associated with electrical currents or charge fluctuations4 are usually inferred from direct (or quasi-direct) current measurements. Recently, interest in electron dynamics has risen, in part owing to the realization that additional information about electronic interactions can be found in the shot noise5 or higher statistical moments6,7 of a direct current. Furthermore, interest in quantum computation has stimulated investigation of quantum bit (qubit) readout techniques8,9, which for many condensed-matter systems ultimately reduces to single-shot measurements of individual electronic charges. Here we report real-time observation of individual electron tunnelling events in a quantum dot using an integrated radio-frequency single-electron transistor10,11. We use electron counting to measure directly the quantum dot's tunnelling rate and the occupational probabilities of its charge state. Our results provide evidence in favour of long (10 µs or more) inelastic scattering times in nearly isolated dots.

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Figure 1: Characterization of RF-SET response.

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Figure 2: Time-domain analysis of the RF-SET output for S1.

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Figure 3: Comparison of a simple one-state model with the RTS near a charge degeneracy point for S1.

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Figure 4: Measurement of non-equilibrium QD charge fluctuations for S2.

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References

  1. Ben-Jacob, E. & Gefen, Y. New quantum oscillations in current driven small junctions. Phys. Lett. A 108, 289–292 (1985)
    Article ADS Google Scholar
  2. Delsing, P., Likharev, K. K., Kuzmin, L. S. & Claeson, T. Time-correlated single-electron tunneling in one-dimensional arrays of ultrasmall tunnel junctions. Phys. Rev. Lett. 63, 1861–1864 (1989)
    Article ADS CAS Google Scholar
  3. Dresselhaus, P. D., Ji, L., Han, S., Lukens, J. E. & Likharev, K. K. Measurement of single electron lifetimes in a multijunction trap. Phys. Rev. Lett. 72, 3226–3229 (1994)
    Article ADS CAS Google Scholar
  4. Berman, D., Zhitenev, N. B., Ashoori, R. C. & Shayegan, M. Observation of quantum fluctuations of charge on a quantum dot. Phys. Rev. Lett. 82, 161–164 (1999)
    Article ADS CAS Google Scholar
  5. Blanter, Y. M. & Büttiker, M. Shot noise in mesoscopic conductors. Phys. Rep. 336, 1–166 (2000)
    Article ADS CAS Google Scholar
  6. Levitov, L. S. & Lesovik, G. B. Charge-transport statistics in quantum conductors. JETP Lett. 55, 555–559 (1992)
    ADS Google Scholar
  7. Levitov, L. S., Lee, H. & Lesovik, G. B. Electron counting statistics and coherent states of electric current. J. Math. Phys. 37, 4845–4866 (1996)
    Article ADS MathSciNet Google Scholar
  8. Shnirman, A. & Schön, G. Quantum measurements performed with a single-electron transistor. Phys. Rev. B 57, 15400–15407 (1998)
    Article ADS CAS Google Scholar
  9. Loss, D. & DiVincenzo, D. P. Quantum computation with quantum dots. Phys. Rev. A 57, 120–126 (1998)
    Article ADS CAS Google Scholar
  10. Schoelkopf, R. J., Wahlgren, P., Kozhevnikov, A. A., Delsing, P. & Prober, D. E. The radio-frequency single-electron transistor (RF-SET): A fast and ultrasensitive electrometer. Science 280, 1238–1242 (1998)
    Article ADS CAS Google Scholar
  11. Aassime, A., Johansson, G., Wendin, G., Schoelkopf, R. J. & Delsing, P. Radio-frequency single-electron transistor as readout device for qubits: Charge sensitivity and backaction. Phys. Rev. Lett. 86, 3376–3379 (2001)
    Article ADS CAS Google Scholar
  12. Likharev, K. K. Single-electron transistors: Electrostatic analogs of the DC SQUIDS. IEEE Trans. Magn. 23, 1142–1145 (1987)
    Article ADS Google Scholar
  13. Fulton, T. A. & Dolan, G. J. Observation of single-electron charging effects in small tunnel junctions. Phys. Rev. Lett. 59, 109–112 (1987)
    Article ADS CAS Google Scholar
  14. Kirton, M. J. & Uren, M. J. Noise in solid-state microstructures: A new perspective on individual defects, interface states, and low-frequency (1/f) noise. Adv. Phys. 38, 367–468 (1989)
    Article ADS CAS Google Scholar
  15. Fujisawa, T. & Hirayama, Y. Charge noise analysis of an AlGaAs/GaAs quantum dot using transmission-type radio-frequency single-electron transistor technique. Appl. Phys. Lett. 77, 543–545 (2000)
    Article ADS CAS Google Scholar
  16. Basseville, M. & Nikiforov, I. V. Detection of Abrupt Changes (Prentice Hall, Englewood Cliffs, 1993)
    MATH Google Scholar
  17. Lu, W., Rimberg, A. J., Maranowski, K. D. & Gossard, A. C. A single-electron transistor strongly coupled to an electrostatically defined quantum dot. Appl. Phys. Lett. 77, 2746–2748 (2000)
    Article ADS CAS Google Scholar
  18. Folk, J. A., Marcus, C. M. & Harris, J. S. Decoherence in nearly isolated quantum dots. Phys. Rev. Lett. 87, 206802 (2001)
    Article ADS CAS Google Scholar
  19. Eisenberg, E., Held, K. & Altshuler, B. L. Dephasing times in closed quantum dots. Phys. Rev. Lett. 88, 136801 (2002)
    Article ADS Google Scholar
  20. Altshuler, B. L., Gefen, Y., Kamenev, A. & Levitov, L. S. Quasiparticle lifetime in a finite system: A nonperturbative approach. Phys. Rev. Lett. 78, 2803–2806 (1997)
    Article ADS CAS Google Scholar
  21. Beenakker, C. W. J. Theory of Coulomb-blockade oscillations in the conductance of a quantum dot. Phys. Rev. B 44, 1646–1656 (1991)
    Article ADS CAS Google Scholar

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Acknowledgements

We thank W. L. Wilson, M. Thalakulam, J. Sarkar, R. J. Schoelkopf, D. H. Johnson, D. Natelson, R. M. Westervelt, D. Driscoll and A. C. Gossard for discussions and experimental assistance. This work was supported by the National Science Foundation, the Army Research Office, and the Robert A. Welch Foundation.

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Author notes

  1. Wei Lu
    Present address: Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts, 02138, USA

Authors and Affiliations

  1. Department of Physics and Astronomy, Rice University, Houston, Texas, 77005, USA
    Wei Lu, Zhongqing Ji & A. J. Rimberg
  2. Department of Electrical and Computer Engineering, Rice University, Houston, Texas, 77005, USA
    A. J. Rimberg
  3. Bell Laboratories, Lucent Technologies, Inc., Murray Hill, New Jersey, 07974, USA
    Loren Pfeiffer & K. W. West

Authors

  1. Wei Lu
  2. Zhongqing Ji
  3. Loren Pfeiffer
  4. K. W. West
  5. A. J. Rimberg

Corresponding author

Correspondence toA. J. Rimberg.

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The authors declare that they have no competing financial interests.

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Lu, W., Ji, Z., Pfeiffer, L. et al. Real-time detection of electron tunnelling in a quantum dot.Nature 423, 422–425 (2003). https://doi.org/10.1038/nature01642

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