Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1999-12-31
Phys. Rev. B 60, R 16315 (1999)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
14 pages, 4 eps figures included, RevTex
Scientific paper
10.1103/PhysRevB.60.R16315
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.
Alhassid Yoram
Malhotra Sagar
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