Effects of disorder on conductance through small interacting systems

We study the effects of disorders on the transport through small interacting systems based on a two-dimensional Hubbard cluster of finite size connected to two noninteracting leads. This system can be regarded as a model for the superlattice of quantum dots or atomic network of the nanometer size. We calculate the conductance at T=0 using the order U2 self-energy in an electron–hole symmetric case. The results show that the conductance is sensitive to the randomness when the resonance states are situated near the Fermi energy.