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.****
- Publication:
-
EPL (Europhysics Letters)
- Pub Date:
- August 1994
- DOI:
- 10.1209/0295-5075/27/4/001
- arXiv:
- arXiv:cond-mat/9403073
- Bibcode:
- 1994EL.....27..255J
- Keywords:
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- Condensed Matter
- E-Print:
- 4 pages, REVTeX-3.0, INLO-PUB-940321