1997/05/13 by P. W. Brouwer, Piet W. Brouwer, S. A. van Langen +5 · 1 citation
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.79.913
published as Phys. Rev. Lett. 79, 913 (1997) · 4 pages, RevTeX, 3 figures
arxiv created 1997/05/13 · openalex publication_date 1997/08/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
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 √G(1\ensuremath-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.