Ballistic Transport Through Chaotic Cavities: Can Parametric Correlations and the Weak Localization Peak be Described by a Brownian Motion Model?

Abstract

A Brownian motion model is devised on the manifold of S-matrices, and applied to the calculation of conductance-conductance correlations and of the weak localization peak. The model predicts that (i) the correlation function in $B$ has the same shape and width as the weak localization peak; (ii) the functions behave as $\propto 1-\mathcal{O}(B^2)$, thus excluding a linear line shape; and (iii) their width increases as the square root of the number of channels in the leads. Some of these predictions agree with experiment and with other calculations only in the limit of small $B$ and a large number of channels.

5 pages revtex (twocolumn)

References in corpus (6)

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• Universal Quantum Signatures of Chaos in Ballistic Transport
• Weak-Localization in Chaotic Versus Non-Chaotic Cavities: A Striking Difference in the Line Shape
• Weak-Localization and Integrability in Ballistic Cavities
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Cited by in corpus (10)

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• Random Matrix Theories in Quantum Physics: Common Concepts
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• Parametric Correlations of Scattering Phase Shifts and Fluctuations of Delay Times in Few-Channel Chaotic Scattering
• Distribution of parametric conductance derivatives of a quantum dot
• Crossover of magnetoconductance autocorrelation for a ballistic chaotic quantum dot
• Graphene pn-junction in a quantizing magnetic field: Conductance at intermediate disorder strength
• Parametric statistics of the scattering matrix: From metallic to insulating quasi-unidimensional disordered systems
• Magnetoconductance Autocorrelation Function for Few--Channel Chaotic Microstructures
• A Brownian Motion Model of Parametric Correlations in Ballistic Cavities