Abstract

The Hall effect in metals showing appreciable magnetization exhibits some unusual features. It might be expected from the form of the Lorentz force [equation (1.12)] that in the low-field condition the observed Hall field would vary linearly with B and that the slope of the curve would be characterized by equation (1.4). However, the observed behavior for a magnetic metal (a ferromagnet, for example) shows a quite different typical behavior, such as that illustrated schematically in Fig. 5.1. [The figure shows, specifically, the Hall resistivity ϱH as a function of B; ϱH is the transverse Hall field per unit longitudinal current density as defined in equation (1.6).]

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