Statistics of conductance and shot-noise power for chaotic cavities

dc.creatorSommers, H. -J.
dc.creatorWieczorek, W.
dc.creatorSavin, D. V.
dc.date2007-10-29
dc.date.accessioned2026-07-07T08:39:12Z
dc.date.available2026-07-07T08:39:12Z
dc.descriptionWe report on an analytical study of the statistics of conductance, $g$, and shot-noise power, $p$, for a chaotic cavity with arbitrary numbers $N_{1,2}$ of channels in two leads and symmetry parameter $β= 1,2,4$. With the theory of Selberg's integral the first four cumulants of $g$ and first two cumulants of $p$ are calculated explicitly. We give analytical expressions for the conductance and shot-noise distributions and determine their exact asymptotics near the edges up to linear order in distances from the edges. For $0<g<1$ a power law for the conductance distribution is exact. All results are also consistent with numerical simulations.
dc.description7 pages, 3 figures. Proc. of the 3rd Workshop on Quantum Chaos and Localisation Phenomena, Warsaw, Poland, May 25-27, 2007
dc.identifierhttps://arxiv.org/abs/0710.5370
dc.identifierhttp://arxiv.org/abs/0710.5370
dc.identifierACTA PHYSICA POLONICA A vol. 112(2007) 691-697
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140989
dc.subjectMesoscale and Nanoscale Physics
dc.titleStatistics of conductance and shot-noise power for chaotic cavities
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