Validity of Pseudo-Isotropic Analysis of Electron Transport Using the Momentum Transfer Cross Section

Abstract

Electron velocity distribution and transport properties under an electric field have been analysed by the Boltzmann equation giving the flow-in rate with a scalar number of the momentum transfer collision frequency ν m ( v ). This is equivalent to treat electrons as if they are isotropically scattered with ν m ( v ) in spite of the fact being anisotropically scattered. Maintaining the momentum transfer cross section constant with the change of anisotropy in the elastic scattering, the validity of such pseudo-isotropic analyses has been examined by the extended FTI method assuming a simple model anisotropy. The results show that the transverse diffusion coefficient take erroneous values in the usual pseudo-isotropic analyses so far conveniently used.