The conductance of interacting nano-wires
  The conductance of one-dimensional nano-wires of interacting electrons connected to non-interacting leads is calculated in the linear response regime. Two different approaches are used: a many-body Green function technique and a relation to the persistent current recently proposed based on results of the non-interacting case. The conductance is evaluated using the functional renormalization group method and the density matrix renormalization group algorithm. Our results give a strong indication that the idea of obtaining the conductance from the persistent current holds for interacting systems. 
V. Meden, U. Schollwoeck