Universal Quantum Signatures of Chaos in Ballistic Transport

Details Universal Quantum Signatures of Chaos in Ballistic Transport Universal Quantum Signatures of Chaos in Ballistic Transport

1994-03-21

arxiv.org/abs/cond-mat/9403073v1

Europhys.Lett. 27 (1994) 255

Physics

Condensed Matter

4 pages, REVTeX-3.0, INLO-PUB-940321

Scientific paper

10.1209/0295-5075/27/4/001

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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