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Quantum Transport in Mesoscopic SystemsComplexity and Statistical Fluctuations. A Maximum Entropy Viewpoint$
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Pier A. Mello and Narendra Kumar

Print publication date: 2004

Print ISBN-13: 9780198525820

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198525820.001.0001

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ELECTRONIC TRANSPORT THROUGH OPEN CHAOTIC CAVITIES

ELECTRONIC TRANSPORT THROUGH OPEN CHAOTIC CAVITIES

Chapter:
(p.244) 6 ELECTRONIC TRANSPORT THROUGH OPEN CHAOTIC CAVITIES
Source:
Quantum Transport in Mesoscopic Systems
Author(s):

Pier A. Mello

Narendra Kumar

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198525820.003.0006

This chapter focuses on scattering from classically chaotic cavities. A maximum-entropy approach is employed to derive the probability distribution for the S matrix, with and without the presence of direct processes. The latter (with direct processes) is included as a constraint through the imposition of a given average S matrix, in addition to its analytic properties. Theoretical calculations are compared with the results of computer simulations and experimental data. The contents of this chapter include statistical ensembles of S matrices; invariant measure; distribution of the conductance in the two-equal-lead case; numerical calculations and comparison with theory; dephasing effects; and comparison with experimental data and physical experiments.

Keywords:   chaotic cavity, scattering matrix, conductance fluctuations, two-equal-lead case, dephasing effect

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