Relaxation dynamics of the electron distribution in the Coulomb-blockade problem

Ya. I. Rodionov, I. S. Burmistrov, and N. M. Chtchelkatchev
Phys. Rev. B 82, 155317 – Published 20 October 2010

Abstract

We study the relaxation dynamics of electron distribution function on the island of a single-electron transistor. We focus on the regime of not very low temperatures in which an electron coherence can be neglected but quantum fluctuations of charge are strong due to Coulomb interaction. The quantum kinetic equation governing evolution of the electron distribution function due to escape of electrons to the reservoirs is derived. Analytical solutions for time dependence of the electron distribution are obtained in the regimes of weak and strong Coulomb blockade. We find that usual exponential in time relaxation is strongly modified due to the presence of Coulomb interaction.

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  • Received 29 March 2010

DOI:https://doi.org/10.1103/PhysRevB.82.155317

©2010 American Physical Society

Authors & Affiliations

Ya. I. Rodionov1, I. S. Burmistrov1,2, and N. M. Chtchelkatchev3,1,4

  • 1L.D. Landau Institute for Theoretical Physics, Russian Academy of Sciences, 117940 Moscow, Russia
  • 2Department of Theoretical Physics, Moscow Institute of Physics and Technology, 141700 Moscow, Russia
  • 3Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
  • 4Institute for High Pressure Physics, Russian Academy of Sciences, Troitsk 142190, Moscow region, Russia

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Issue

Vol. 82, Iss. 15 — 15 October 2010

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