Abstract
The ladder method for solving the linearized Boltzmann equation is developed to deal with a nonparabolic conduction band. This is applied to find the low field Hall mobility of electrons in bulk using the band-anticrossing model, which predicts highly nonparabolic energy dispersion relations. Polar optical, acoustic phonon, piezoelectric, ionized impurity, neutral impurity, and nitrogen scattering are incorporated. In finding an exact solution to the linearized Boltzmann equation, we avoid the unrealistic assumption of a relaxation time for inelastic scattering via polar optical phonons. Nitrogen scattering is found to limit the electron mobility to values of the order , in accordance with relaxation time approximation calculations but still an order of magnitude higher than measured values for dilute nitrides. We conclude that the nonparabolicity of the conduction band alone cannot account for these low mobilities.
- Received 27 April 2005
DOI:https://doi.org/10.1103/PhysRevB.72.075211
©2005 American Physical Society