A theoretical investigation of quantum-transport phenomena in mesoscopic systems is
presented. In particular, a generalization to “open systems” of the well-known
Semiconductor Bloch equations is proposed. Compared to the conventional Bloch
theory, the presence of spatial boundary conditions manifest itself through self-energy
corrections and additional source terms in the kinetic equations, which are solved by
means of a generalized Monte Carlo simulation.The proposed numerical approach is
applied to the study of the scattering-induced suppression of Bloch oscillations in
semiconductor superlattices as well as to the analysis of quantum-transport phenomena
in double-barrier structures.