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

Y. Alhassid·C. H. Lewenkopf
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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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Y. Alhassid, C. H. Lewenkopf. 1995-10-05. The Statistical Distributions of Level Widths and Conductance Peaks in Irregularly Shaped Quantum Dots. https://doi.org/10.1103/physrevlett.75.3922

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