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Finite temperature effects in Coulomb blockade quantum dots and signatures of spectral scrambling

Y. Alhassid and S. Malhotra
Phys. Rev. B 60, R16315(R) – Published 15 December 1999
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Abstract

The conductance in Coulomb blockade quantum dots exhibits sharp peaks whose spacings fluctuate with the number of electrons. We derive the temperature dependence of these fluctuations in the statistical regime and compare with recent experimental results. The scrambling due to Coulomb interactions of the single-particle spectrum with the addition of an electron to the dot is shown to affect the temperature dependence of the peak spacing fluctuations. Spectral scrambling also leads to saturation in the temperature dependence of the peak-to-peak correlator, in agreement with recent experimental results. The signatures of scrambling are derived using discrete Gaussian processes, which generalize the Gaussian ensembles of random matrices to systems that depend on a discrete parameter—in this case, the number of electrons in the dot.

  • Received 20 August 1999

DOI:https://doi.org/10.1103/PhysRevB.60.R16315

©1999 American Physical Society

Authors & Affiliations

Y. Alhassid and S. Malhotra

  • Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520

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Issue

Vol. 60, Iss. 24 — 15 December 1999

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