Effects of interactions and junctions on conductances of quantum wires

We examine the effect of interactions between the electrons on the conductance of a system of quantum wires containing a ring. The electrons are taken to be weakly interacting, and scattering matrices are introduced at the junctions present in the system. Using a renormalization group method, we compute the conductances of these systems as functions of the temperature. Our results show that the conductance depends on the temperature as a result of the interactions