Nonlinear elimination of magnetoresistance divergences due to Landau quantization

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Abstract
We discuss here the role of nonlinearity in an isothermal balance equation transport theory in eliminating the divergence associated with Landau quantization which occurs in linear theories for impurity-limited transverse magnetoresistance. This nonlinear mechanism for elimination of the divergence is shown to be effective with or without shielding, although shielding does influence the detailed quantitative results. Explicit calculations of the finite magnetoresistance below the degeneracy temperature are carried out here, including the role of dynamic descreening phenomena, and nonlinear oscillatory behavior as a function of drift velocity and as a function of inverse magnetic field strength is exhibited.