The anomalous Hall Effect and magnetoresistance in the layered ferromagnet Fe_{1/4}TaS_2: the inelastic regime

Abstract

The large magnetic anisotropy in the layered ferromagnet Fe_{1/4}TaS_2 leads to very sharp reversals of the magnetization $\mathbf{M}$ at the coercive field. We have exploited this feature to measure the anomalous Hall effect (AHE), focussing on the AHE conductivity ${\sigma }_{xy}^A$ in the inelastic regime. At low temperature T (5-50 K), ${\sigma }_{xy}^A$ is T-independent, consistent with the Berry-phase/Karplus-Luttinger theory. Above 50 K, we extract an inelastic AHE conductivity ${\sigma }_{xy}^{in}$ that scales as the square of $\Delta \rho$ (the T dependent part of the resistivity $\rho$). The term ${\sigma }_{xy}^{in}$ clarifies the T dependence and sign-reversal of the AHE coefficient R_s(T). We discuss the possible ubiquity of ${\sigma }_{xy}^{in}$ in ferromagnets, and ideas for interpreting its scaling with $(\Delta \rho {)}^2$. Measurements of the magnetoresistance (MR) reveal a rich pattern of behavior vs. T and field tilt-angle. We show that the 2 mechanisms, the anisotropic MR effect and field-suppression of magnons, account for the intricate MR behavior, including the bow-tie features caused by the sharp reversals in $\mathbf{M}$.

10 pages, 11 figures

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• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets
• Linear magnetization dependence of the intrinsic anomalous Hall effect
• A hidden constant in the anomalous Hall effect of a high-purity magnet MnSi

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