Universal Quantum Signatures of Chaos in Ballistic Transport
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.****
Keywords
Cite
@article{arxiv.cond-mat/9403073,
title = {Universal Quantum Signatures of Chaos in Ballistic Transport},
author = {R. A. Jalabert and J. -L. Pichard and C. W. J. Beenakker},
journal= {arXiv preprint arXiv:cond-mat/9403073},
year = {2009}
}
Comments
4 pages, REVTeX-3.0, INLO-PUB-940321