It is shown theoretically that indirect interaction between two quantum dot levels can generate an anomalous phase shift for a system of the dot placed in one of the arms of the Aharonov-Bohm ring. The interaction between levels arises from the non-conservation of the orbital quantum number during the hopping process of electrons between the levels and leads. Such an unusual "phase lapse" behavior is observed experimentally and still lacks of proper theoretical description.
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The magnetic field dependence of coherent transport through a pair of wires attached to two Aharonov-Bohm rings with embedded double dots is considered. The double dots are electrostatically coupled. The many-body problem is studied within the mean field slave boson approach and complementarily by the method of equation of motion in the limit of infinite intra and finite or infinite interdot Coulomb interactions.
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