Figure 4: Intrinsic and magnetized out-of-plane spin polarization: theory and experiment.

(a) Calculated out-of-plane spin polarization in the photoemission final states for hν=22 eV for GeTe below the Dirac point and for Ge_1−xMn_xTe with x_Mn of 3, 8 and 13% below the Zeeman gap (≈0.2 eV binding energy). (b) Ge_0.87Mn_0.13Te initial-state calculations based on multiple scattering alloy theory along Z–A and Z–U. (c) Corresponding measured SARPES P_z polarization in the Z-point visualized as energy-distribution curves in P_z and total intensity measured across the Zeeman gap. The theoretical data from b is shown for comparison in the inset. The data points correspond to two independent experimental data sets with 20 and 10 meV energy steps (the smaller step size data is a verification of the larger one in a separate measurement, error bars are obtained from measurement statistics). The vertical arrows highlight the P_z-wiggle resolved across the Zeeman gap Δ_Z of the order of 100 meV. (d) A comparison of P_z-spin reorientation between intrinsic and magnetized Ge_0.87Mn_0.13Te along the [] and [111] directions.