‘‘Universal’’ conduction-band structure in some common semiconductor compounds

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Abstract
The conduction bands of direct-gap III-V semiconductors are shown to be effectively universal near the Γ point even when strongly nonparabolic, for energies in effective rydbergs and wave numbers in inverse effective lattice constants. This implies universality of the diamagnetic Shubnikov–de Haas effect in the nonparabolic regime in some two-dimensional electron gases, as observed experimentally. A two-band k⋅p approximation together with Harrison’s model-solid theory explains this near universality and relates its systematic deviations to the covalency of the material in question.