Parametric Conductance Correlation for Irregularly Shaped Quantum Dots

Details Parametric Conductance Correlation for Irregularly Shaped Quantum Dots Parametric Conductance Correlation for Irregularly Shaped Quantum Dots

1995-10-20

arxiv.org/abs/cond-mat/9510118v2

Phys. Rev. B 53, 9868 (1996)

Physics

Condensed Matter

Minor corrections added to the text and references (36 pages RevTeX 3, epsf, 10 figures

Scientific paper

10.1103/PhysRevB.53.9968

We propose the autocorrelator of conductance peak heights as a signature of the underlying chaotic dynamics in quantum dots in the Coulomb blockade regime. This correlation function is directly accessible to experiments and its decay width contains interesting information about the underlying electron dynamics. Analytical results are derived in the framework of random matrix theory in the regime of broken time-reversal symmetry. The final expression, upon rescaling, becomes independent of the details of the system. For the situation when the external parameter is a variable magnetic field, the system-dependent, nonuniversal field scaling factor is obtained by a semiclassical approach. The validity of our findings is confirmed by a comparison with results of an exact numerical diagonalization of the conformal billiard threaded by a magnetic flux line.

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