Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2000-06-19
Phys. Rev. B 62, 7307 (2000)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
18 pages, 9 figures. to appear in Physical Review B
Scientific paper
10.1103/PhysRevB.62.7307
The properties of scattering phases in quantum dots are analyzed with the help of lattice models. We first derive the expressions relating the different scattering phases and the dot Green functions. We analyze in detail the Friedel sum rule and discuss the deviation of the phase of the transmission amplitude from the Friedel phase at the zeroes of the transmission. The occurrence of such zeroes is related to the parity of the isolated dot levels. A statistical analysis of the isolated dot wave-functions reveals the absence of significant correlations in the parity for large disorder and the appearance, for weak disorder, of certain dot states which are strongly coupled to the leads. It is shown that large differences in the coupling to the leads give rise to an anomalous charging of the dot levels. A mechanism for the phase lapse observed experimentally based on this property is discussed and illustrated with model calculations.
Buttiker Markus
Yeyati Alfredo Levy
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