Nonlocal Transport and Cuspidal Surface Mobility in Semiconductors

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Abstract
The curious cuspidal behavior of the surface mobility formulas of Greene, Frankl, and Zemel for nearly flat bands has been emphasized by Flietner, who also noted the omission of a size-effect transport term. He gave revised formulas showing higher surface mobility values and no cusp. We show that Grenee, Frankl, and Zemel actually omitted a pair of size-effect terms, that these very nearly cancel, and that, therefore, the corresponding thick-sample surface mobility formulas are correct. We also show that the cusp is a characteristic of transport in the nonlocal case (mean free path comparable to Debye screening length) where band bending cannot be treated as a small perturbation.

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