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The spin orientation of electronic wavefunctions in crystals is an internal degree of freedom, typically insensitive to electrical knobs.
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See Appendix for discussions of the six-band 𝐤 ⋅ 𝐩 {\bf k}\cdot{\bf p} description and symmetry analysis, reduction to a 4 × 4 4\times 4 effective Hamiltonian, Berry curvature at the band edge, Berry curvature and magnetic moments for non-zero δ z ≠ 0 \delta_{z}\neq 0 distribution in momentum space, and quantum non-linear anomalous Hall effect
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