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The Fano resonance in quantum dots embedded in Aharonov-Bohm rings isexamined theoretically, using two models of non-interacting electrons. Thefirst model yields an analytical expression for the conductance G. G is writtenin an extended Fano form with a complex parameter. The shape of the resonancecan be asymmetric or symmetric, depending on the magnetic flux enclosed in thering. The "phase" of the resonance is changed continuously with increasing theflux in two-terminal situations. These are in accordance with recentexperimental results. In the second model, we consider the dephasing effect onthe Fano resonance by numerical calculations.Comment: 2 pages, 4 figures, to appear in J. Phys. Soc. Jpn., proceedings of  International Conference on Quantum Transport and Quantum Coherence  (Localisation 2002, Tokyo

Numerical Studies of Fano Resonance in Quantum Dots Embedded in AB Rings