Torsional spin density waves

Given by Fukutome." and SA are the projections parallel and perpendicular to S. Abbreviations TICS, time-reversal-invariant closed shell CCW, charge-current wave ASCW, axial spin-current wave ASDW, axial spin density wave ASW, axial spin wave TSCW, torsional spin-current wave TSDW, torsional spin density wave TSW, torsional spin wave. The numbers in parentheses refer to the numbering of the subgroups in Table I. 

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