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The thickness dependence of anomalous Hall effect in the amorphous CoFeB thin films has been investigated. A dimensional crossover of electron conduction from 2-D to 3-D in weak localization (WL) has been observed when the film is thicker than 8.5 nm. Meanwhile, the scaling of the anomalous Hall conductivity to the longitudinal conductivity at low temperature, $\sigma _{\mathrm{ AH}} {\propto } \sigma _{\mathrm{ xx}}^{n}$ ...
Anomalous Hall effect (AHE) has received a continuous amount of attention in both fundamental research and device application for decades [1-3]. Current understanding of AHE mechanism for a clean ferromagnetic material is focused on three proposed mechanisms: the intrinsic mechanism, and the extrinsic skew-scattering and side-jump mechanisms. The intrinsic AHE has first been interpreted to stem from...
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