XXVIII. Elastoresistance and Magnetoresistance in Multivalley Semi-conductors with an Axis of Symmetry

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Abstract
A multivalley model of the energy bands of a crystal with an axis of 3. 4 or 6 fold symmetry is described. The anisotropy in the properties of a single valley is expressed in terms of two second rank tensors : α, the effective mass tensor, and β, a tensor which relates the energy of an electronic state to the elastic strain. Expressions for the fourth rank magnetoresistance and elastoresistance tensors in terms of α and β are derived. The application of the results to crystals with additional symmetry elements is explained.