Quantum transport of electrons in open nanostructures with the Wigner-function formalism

A theoretical Wigner-function approach to the study of quantum transport in open systems in presence of phonon scattering is presented. It is shown he re that in order to solve the Wigner equation in its integral form the know ledge of the Wigner function at all points of the phase space at all initia l time t(0) can be substituted by the knowledge of the same function inside the region of interest at t(0) and on its boundary at all times t' less th en the observation time t. The theory has been applied to calculate the cur rent associated with electron quantum transport across given potential prof iles and in presence of phonon scattering. [S0163-1829(99)12703-6].