Aharonov-Bohm interferometry with the T-shaped capacitively coupled quantum dots in the orbital Kondo regime

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.