Parametric correlation of Coulomb blockade conductance peaks in chaotic quantum dots

Abstract

We investigate the autocorrelator of conductance peak heights for quantum dots in the Coulomb blockade regime. Analytical and numerical results based on Random Matrix Theory are presented and compared to exact numerical calculations based on a simple dynamical model. We consider the case of preserved time-reversal symmetry, which is realized experimentally by varying the shape of the quantum dot in the absence of magnetic fields. Upon a proper rescaling, the correlator becomes independent of the details of the system and its form is solely determined by symmetry properties and the number of channels in the leads. The magnitude of the scaling parameter is estimated by a semiclassical approach.

8 pages, RevTeX, uses epsf, with 2 Postscript figures. To be published by Physica Scripta in the proceedings of the "17th Nordic Semiconductor Meeting", held in Trondheim, June 1996

References in corpus (5)

• Quantum chaos in a deformable billiard: Applications to quantum dots
• The Statistical Distributions of Level Widths and Conductance Peaks in Irregularly Shaped Quantum Dots
• Parametric Conductance Correlation for Irregularly Shaped Quantum Dots
• Universal Parametric Correlations of Conductance Peaks in Quantum Dots
• Statistical Properties of Level Widths and Conductance Peaks in a Quantum Dot

Cited by in corpus (3)

• Universality in quantum parametric correlations
• Departure of some parameter-dependent spectral statistics of irregular quantum graphs from Random Matrix Theory predictions
• Decay of the Loschmidt echo in a time-dependent environment