Distribution of Parametric Conductance Derivatives of a Quantum Dot | Zendy

Piet W. Brouwer | Zendy; S. A. van Langen | Zendy; Klaus M. Frahm | Zendy; Μ. Büttiker | Zendy; C. W. J. Beenakker | Zendy

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Distribution of Parametric Conductance Derivatives of a Quantum Dot

Author(s) -

Piet W. Brouwer,

S. A. van Langen,

Klaus M. Frahm,

Μ. Büttiker,

C. W. J. Beenakker

Publication year - 1997

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.79.913

Subject(s) - physics , quantum dot , condensed matter physics , conductance , distribution (mathematics) , inverse , quantum mechanics , mathematical analysis , geometry , mathematics

The conductance G of a quantum dot with single-mode ballistic point contactsdepends sensitively on external parameters X, such as gate voltage and magneticfield. We calculate the joint distribution of G and dG/dX by relating it to thedistribution of the Wigner-Smith time-delay matrix of a chaotic system. Thedistribution of dG/dX has a singularity at zero and algebraic tails. While Gand dG/dX are correlated, the ratio of dG/dX and $\sqrt{G(1-G)}$ is independentof G. Coulomb interactions change the distribution of dG/dX, by inducing atransition from the grand-canonical to the canonical ensemble. All thesepredictions can be tested in semiconductor microstructures or microwavecavities.Comment: 4 pages, RevTeX, 3 figure

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