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The Statistical Distributions of Level Widths and Conductance Peaks in Irregularly Shaped Quantum Dots

Authors
  • Alhassid, Y.
  • Lewenkopf, C. H.
Type
Preprint
Publication Date
Oct 04, 1995
Submission Date
Oct 04, 1995
Identifiers
DOI: 10.1103/PhysRevLett.75.3922
arXiv ID: cond-mat/9510023
Source
arXiv
License
Unknown
External links

Abstract

Analytical expressions for width and conductance peak distributions for quantum dots with multi-channel leads in the Coulomb blockade regime are presented for both limits of conserved and broken time-reversal symmetry. The results are valid for any number of non-equivalent and correlated channels, and the distributions are expressed in terms of the channel correlation matrix $M$ in each lead. The matrix $M$ is also given in closed form. A chaotic billiard is used as a model to test numerically the theoretical predictions.

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