Improved-Brooks Mobility Formula for Disorder Scattering in Semiconductor Alloys

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<jats:p> The Green function method is used to study disorder scattering in compound semiconductor alloys, taking into account many-body scattering. The present calculation and the Brooks disorder scattering mobility are compared. For typical semiconductor alloys, the discrepancy is as much as ∼20%, but the error is much smaller for alloys with small band edge difference and effective mass. By using an approximate Green function, an improved Brooks formula is derived in the form of the original Brooks formula multiplied by a correction factor. </jats:p>

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