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Transport Phenomena in Mesoscopic Systems pp 39–52Cite as

Statistical Theory of Coulomb Blockade and Resonant Tunneling Oscillations in Quantum Dots

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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 109))

Abstract

We develop a statistical theory of the amplitude of Coulomb blockade and resonant tunneling oscillations in semiconductor quantum dots based on the hypothesis that chaotic dynamics in the dot potential leads to behavior described by random matrix theory. We obtain a universal one-parameter distribution describing the fluctuations of the resonance amplitudes in the regime where a single thermally-broadened level dominates. As with other mesoscopic fluctuation phenomena, changing the fundamental symmetries of the dot hamiltonian(e.g. breaking time-reversal symmetry with a weak magnetic field) leads to changes in this distribution which should have experimentally-observable effects. The theory is tested numerically by calculating the resonance-width distribution of a very weakly disordered ensemble of dots and good agreement is found.

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Author information

Author notes

  1. R. A. Jalabert

    Present address: Service de Physique de l’Etat Condensé, CEA Saclay, F-91191, Gif-sur-Yvette Cédex, France

Authors and Affiliations

  1. Applied Physics, Yale University, P.O. Box 2157, New Haven, CT, 06520, USA

    A. D. Stone & R. A. Jalabert

  2. Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, CT, 06511, USA

    Y. Alhassid

Authors
  1. A. D. Stone
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  2. R. A. Jalabert
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  3. Y. Alhassid
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Editor information

Editors and Affiliations

  1. Department of Physics, Faculty of Science, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan

    Hidetoshi Fukuyama

  2. Institute for Solid State Physics, University of Tokyo, 7-22-1 Roppongi, Minato-ku, Tokyo 106, Japan

    Tsuneya Ando

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© 1992 Springer-Verlag Berlin Heidelberg

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Stone, A.D., Jalabert, R.A., Alhassid, Y. (1992). Statistical Theory of Coulomb Blockade and Resonant Tunneling Oscillations in Quantum Dots. In: Fukuyama, H., Ando, T. (eds) Transport Phenomena in Mesoscopic Systems. Springer Series in Solid-State Sciences, vol 109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84818-6_4

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  • DOI: https://doi.org/10.1007/978-3-642-84818-6_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84820-9

  • Online ISBN: 978-3-642-84818-6

  • eBook Packages: Springer Book Archive

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