Non-equilibrium current via geometric scatterers
  We investigate non-equilibrium particle transport in the system consisting of a geometric scatterer and two leads coupled to heat baths with different chemical potentials. We derive expression for the corresponding current the carriers of which are fermions and analyze numerically its dependence of the model parameters in examples, where the scatterer has a rectangular or triangular shape. 
Pavel Exner, Hagen Neidhardt, Milos Tater, Valentin A. Zagrebnov
math-ph cond-mat.mes-hall math.MP quant-ph