Phys. Rev. B 74, 115328 (2006) [8 pages]
Conductance phases in the quantum dots of an Aharonov-Bohm ring
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References (44)
Citing Articles
A. Yahalom1 and R. Englman1,21College of Judea and Samaria, Ariel 44284, Israel
2Department of Physics and Applied Mathematics, Soreq NRC, Yavne 81800, Israel
Received 13 November 2005; revised 23 June 2006; published 26 September 2006
The regimes of growing phases (for electron numbers N![[approximate]](http://scitation.aip.org/stockgif3/ap.gif) 0–8) that pass into regions of self-returning phases (for N>8), found recently in quantum dot conductances by Heiblum and co-workers are accounted for by an elementary Green's function formalism, appropriate to an equi-spaced ladder structure (with at least three rungs) of electronic levels in the quantum dot. The key features of the theory are physically a dissipation rate that increases linearly with the level number (and is tentatively linked to coupling to longitudinal optical phonons) and a set of Fano-like metastable levels, which disturb the unitarity, and mathematically the changeover of the position of the complex transmission amplitude zeros from the upper half in the complex gap-voltage plane to the lower half of that plane. The two regimes are identified with (respectively) the Blaschke term and the Kramers-Kronig integral term in the theory of complex variables.
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