The time dependence of the three components of the total magnetization for a [001] substrate with structural inversion asymmetry (SIA) effects only:
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for bulk inversion asymmetry (BIA) and SIA when these effects have equal magnitude:
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and for a [111] substrate with, BIA and SIA effects equal, where the spin lifetime of all three components is enhanced:
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Computational Spin Dynamics

X.Cartoixà, LBNL, David Z.-Y. Ting, JPL