In gapped solids, band extrema are analytic at non-degenerate points for DFT and G0W0, validating the effective mass approximation, with symmetry determining the allowed mass tensor forms for all 32 point groups.
Kohn, Density functional and density matrix method scaling linearly with the number of atoms, Physical Re- view Letters 76, 3168 (1996)
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Analyticity and symmetry of band extrema in gapped solids: when does the effective mass approximation hold?
In gapped solids, band extrema are analytic at non-degenerate points for DFT and G0W0, validating the effective mass approximation, with symmetry determining the allowed mass tensor forms for all 32 point groups.