Distribution of parametric conductance derivatives of a quantum dot

Details Distribution of parametric conductance derivatives of a quantum dot Distribution of parametric conductance derivatives of a quantum dot

1997-05-13

arxiv.org/abs/cond-mat/9705116v1

Phys. Rev. Lett. 79, 913 (1997)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, RevTeX, 3 figures

Scientific paper

10.1103/PhysRevLett.79.913

The conductance G of a quantum dot with single-mode ballistic point contacts depends sensitively on external parameters X, such as gate voltage and magnetic field. We calculate the joint distribution of G and dG/dX by relating it to the distribution of the Wigner-Smith time-delay matrix of a chaotic system. The distribution of dG/dX has a singularity at zero and algebraic tails. While G and dG/dX are correlated, the ratio of dG/dX and $\sqrt{G(1-G)}$ is independent of G. Coulomb interactions change the distribution of dG/dX, by inducing a transition from the grand-canonical to the canonical ensemble. All these predictions can be tested in semiconductor microstructures or microwave cavities.

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