Landauer conductance without two chemical potentials - art. no. 155304

We present a theory of the four-terminal conductance for the multichannel t unneling barrier, which is based on the self-consistent solution or Shrodin ger, Poisson, and continuity equations. We derive results for the case of a barrier embedded in a long wire with and without disorder. We also recover known expressions for the conductance of the barrier placed into a ballist ic constriction. Our approach avoids a problematic use of two chemical pote ntials in the same system.