Interference effects in interacting quantum dots

In this paper, we study the interplay between interference effects in quantum dots ( manifested through the appearance of Fano resonances in the conductance), and interactions taken into account in the self-consistent Hartree-Fock approximation. In the non-interacting case we find that interference may lead to the observation of more than one conductance peak per dot level as a function of an applied gate voltage. This may explain recent experimental findings, which were thought to be caused by interaction effects. For the interacting case we find a wide variety of different interesting phenomena. These include both monotonous and non-monotonous filling of the dot levels as a function of an applied gate voltage, which may occur continuously or even discontinuously. In many cases a combination of the different effects can occur in the same sample. The behaviour of the population influences, in turn, the conductance lineshape, causing broadening and asymmetry of narrow peaks, and determines whether there will be a zero transmission point. We elucidate the essential role of the interference between the dot's levels in determining these outcomes. The effect of finite temperatures on the results is also examined.