Solution of the Boltzmann equation for calculating the Hall mobility in bulk GaNxAs1x

M. P. Vaughan and B. K. Ridley
Phys. Rev. B 72, 075211 – Published 23 August 2005

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 GaNxAs1x 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 1000cm2V1s1, 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

    Authors & Affiliations

    M. P. Vaughan and B. K. Ridley

    • Department of Electronic Systems Engineering, University of Essex, Colchester CO4 3SQ, United Kingdom

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    Issue

    Vol. 72, Iss. 7 — 15 August 2005

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