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Universal Quantum Signatures of Chaos in Ballistic Transport

R. A. Jalabert·J. -L. Pichard·C. W. J. Beenakker
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Abstract

The conductance of a ballistic quantum dot (having chaotic classical dynamics and being coupled by ballistic point contacts to two electron reservoirs) is computed on the single assumption that its scattering matrix is a member of Dyson's circular ensemble. General formulas are obtained for the mean and variance of transport properties in the orthogonal (beta=1), unitary (beta=2), and symplectic (beta=4) symmetry class. Applications include universal conductance fluctuations, weak localization, sub-Poissonian shot noise, and normal-metal-superconductor junctions. The complete distribution P(g) of the conductance g is computed for the case that the coupling to the reservoirs occurs via two quantum point contacts with a single transmitted channel. The result P(g)=g^(-1+beta/2) is qualitatively different in the three symmetry classes. ***Submitted to Europhysics Letters.****

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R. A. Jalabert, J. -L. Pichard, C. W. J. Beenakker. 1994-03-21. Universal Quantum Signatures of Chaos in Ballistic Transport. https://doi.org/10.1209/0295-5075%2F27%2F4%2F001

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