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A Brownian Motion Model of Parametric Correlations in Ballistic Cavities

A. M. S. Macedo
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Abstract

A Brownian motion model is proposed to study parametric correlations in the transmission eigenvalues of open ballistic cavities. We find interesting universal properties when the eigenvalues are rescaled at the hard edge of the spectrum. We derive a formula for the power spectrum of the fluctuations of transport observables as a response to an external adiabatic perturbation. Our formula correctly recovers the Lorentzian-squared behaviour obtained by semiclassical approaches for the correlation function of conductance fluctuations.

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A. M. S. Macedo. 1995-09-27. A Brownian Motion Model of Parametric Correlations in Ballistic Cavities. https://doi.org/10.1103/physrevb.53.8411

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