Quantum transport modeling in anisotropic semiconductors using Wigner function formulation

Wigner transport equation is formulated in anisotropic semiconductor quantum wells. Especially, we suggest a formulation in which we can use the conventional Wigner transport equation solvers developed assuming isotropic materials for the actual numerical calculation. The three-dimensional Wigner function involving effective mass tensor can be reduced into one-dimensional form which involves only one diagonal effective mass tensor element and the original three-dimensional Wigner function is given as the convolution of the one-dimensionally reduced Wigner function with a newly defined function related to the off-diagonal effective mass tensor elements.