Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-01-08
Phys. Rev. B 75, 125312 (2007)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
6 pages, 5 figures; added references, final version
Scientific paper
10.1103/PhysRevB.75.125312
We 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.
Aigner Florian
Burgdörfer Joachim
Rotter Stefan
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