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Conductance Phases in Aharonov-Bohm Ring Quantum Dots

By A. Yahalom A and R. Englman A

Abstract

The regimes of growing phases (for electron numbers N ≈ 1 − 8) that pass into regions of self-returning phases (for N> 8), found recently in quantum dot conductances by the Weizmann group are accounted for by an elementary Green function formalism, appropriate to an equi-spaced ladder structure of bound electronic levels in the quantum well and resonant states above it. The key features of the theory are physically a dissipation rate that increases linearly with the level number (and tentatively linked to a coupling to longitudinal optical (LO) phonons) and mathematically the change over 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. PACS numbers: 03.65.V

Topics: Quantum dots, Aharonov-Bohm effect, Green function, Hilbert Transform. 1 Two Phase Regimes
Year: 2008
OAI identifier: oai:CiteSeerX.psu:10.1.1.310.7721
Provided by: CiteSeerX
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