Multiband, non-parabolic Wigner-function approach to electron transport in semiconductors

In this work, we introduce a multiband transport model for quantum electron transport in semiconductors following the Wigner-function approach. By using the Bloch-Floquet decomposition of the density matrix, we obtain the Bloch-Floquet projections of the Wigner function and derive their evolution equations for energy bands of arbitrary shape. The equations of the model are very general and allow (in principle) the investigation of quantum processes in which interband transitions and/or non-parabolicity effects may occur. Finally, we present numerical applications for some particular cases in which the numerical solution can be obtained easily.