Statistics of Transmission Eigenvalues in Two-Dimensional Quantum Cavities: Ballistic versus Stochastic Scattering

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dc.creatorRotter, Stefan
dc.creatorAigner, Florian
dc.creatorBurgdörfer, Joachim
dc.date2007-01-08
dc.date2007-03-14
dc.date.accessioned2026-07-07T07:51:36Z
dc.date.available2026-07-07T07:51:36Z
dc.descriptionWe investigate the statistical distribution of transmission eigenvalues in phase-coherent transport through quantum dots. In two-dimensional ab-initio simulations for both clean and disordered two-dimensional cavities, we find markedly different quantum-to-classical crossover scenarios for these two cases. In particular, we observe the emergence of ``noiseless scattering states'' in clean cavities, irrespective of sharp-edged entrance and exit lead mouths. We find the onset of these ''classical'' states to be largely independent of the cavity's classical chaoticity, but very sensitive with respect to bulk disorder. Our results suggest that for weakly disordered cavities the transmission eigenvalue distribution is determined both by scattering at the disorder potential and the cavity walls. To properly account for this intermediate parameter regime we introduce a hybrid crossover scheme which combines previous models that are valid in the ballisic and the stochastic limit, respectively.
dc.description6 pages, 5 figures; added references, final version
dc.identifierhttps://arxiv.org/abs/cond-mat/0701153
dc.identifierhttp://arxiv.org/abs/cond-mat/0701153
dc.identifierPhys. Rev. B 75, 125312 (2007)
dc.identifierdoi:10.1103/PhysRevB.75.125312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125569
dc.subjectMesoscale and Nanoscale Physics
dc.subjectDisordered Systems and Neural Networks
dc.titleStatistics of Transmission Eigenvalues in Two-Dimensional Quantum Cavities: Ballistic versus Stochastic Scattering
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