Abstract
The conductance of a quantum dot with single-mode ballistic point contacts depends sensitively on external parameters , such as gate voltage and magnetic field. We calculate the joint distribution of and by relating it to the distribution of the Wigner-Smith time-delay matrix of a chaotic system. The distribution of has a singularity at zero and algebraic tails. While and are correlated, the ratio of and is independent of . Coulomb interactions change the distribution of , by inducing a transition from the grand-canonical to the canonical ensemble. All these predictions can be tested in semiconductor microstructures or microwave cavities.
- Received 24 February 1997
DOI:https://doi.org/10.1103/PhysRevLett.79.913
©1997 American Physical Society