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We study the Kondo effect and related transport properties in orbitallydegenerate vertical quantum dot systems with plural electrons. Applying thenon-crossing approximation to the three-orbital Anderson impurity model withthe finite Coulomb interaction and Hund-coupling, we investigate themagnetic-field dependence of the conductance and thermopower. We also introducean additional orbital splitting to take account of the realistic many-bodyeffect in the vertical quantum dot system. It is clarified how thethree-orbital Kondo effect influences the transport properties via themodulation of the Kondo temperature and unitary limit of transport quantitiesdue to the change of the symmetry in the system.

Three-orbital Kondo effect in single quantum dot system with plural electrons