Theory of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>g</mml:mi></mml:math>Shift of Conduction Electrons

A simple derivation of the conduction-electron $g$ factor in a crystal having inversion symmetry is presented. The result obtained for the $g$ shift is unambiguous for each state (of wave vector k), and reduces to the correct isolated-atom $g$ shift in the tight-binding limit. Previous work has failed to satisfy these requirements. Two formulas suitable for computation of $\ensuremath{\delta}g(\mathrm{k})$ are derived.

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