A hidden constant in the anomalous Hall effect of a high-purity magnet MnSi

Abstract

Measurements of the Hall conductivity in MnSi can provide incisive tests of theories of the anomalous Hall (AH) effect, because both the mean-free-path and magnetoresistance (MR) are unusually large for a ferromagnet. The large MR provides an accurate way to separate the AH conductivity ${\sigma }_{xy}^A$ from the ordinary Hall conductivity ${\sigma }_{xy}^N$. Below the Curie temperature $T_C$, ${\sigma }_{xy}^A$ is linearly proportional to $M$ (magnetization) with a proportionality constant $S_H$ that is independent of both $T$ and $H$. In particular, $S_H$ remains a constant while ${\sigma }_{xy}^N$ changes by a factor of 100 between 5 K and $T_C$. We discuss implications of the hidden constancy in $S_H$.

5 pages, 4 figures. Minor changes

References in corpus (3)

• 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

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• Chirality induced anomalous-Hall effect in helical spin crystals
• Orientation Dependence of the Anomalous Hall Resistivity in Single Crystals of Yb14MnSb11