“…Figure 3(a) exhibits the relationship between the spin-polarization ratio (P t ) and incident energy (E) for several δ-doping weights: V = 0.0 (solid curve), 1.0 (dashed curve) and 2.0 (dotted curve), where the δ-doping's position remains unchanged, such as x 0 = 1.0. When V = 0.0 (red curve), i.e., without a δ-doping in the MCSH, one can see an obvious spin-polarized dwell time, as confirmed previously in [34]. When a δ-doping is introduced inside (V 0 ̸ = 0.0, green and blue curves), a considerable spin-polarization effect of the dwell time still exists as shown in figure 2; however, the spin-polarized dwell time is altered greatly.…”