Abstract
Effective g-factor for multiband system with a strong spin-orbit interaction is investigated. A simple, general, and gauge-invariant formula for the effective g-factor is obtained on the basis of k · p theory. By taking into account the symmetry for the T-point in Brillouinzone of bismuth, the formula of the effective g-factor is further simplified. The obtained results give a reasonable explanation for the longstanding puzzle about the large anisotropic g-factor of holes in bismuth.
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