Anomalous Hall coefficient

Rs is called the anomalous Hall coefficient. In most cases Rg is at least an order of magnitude larger than Rq, so that Rj Rg. Before discussing the physical origin of Ri (Rs), let us now discuss under which conditions Rq and R can be extracted from the experimental data in magnetic compounds. (Note that PnluoH is sometimes called the total Hall coefficient, R .)... 

There are two contributions to pxy and so two terms in Eq. (22) the first one (normal HE) is caused by the Lorentz force and is proportional to magnetic induction B the second one (anomalous HE) is proportional to magnetization M (R0 and Rs are coefficients of normal and anomalous Hall effects, respectively). The second term is related to the influence of the spin-orbital interaction (SOI) on the scattering of the spin-polarized electrons and essentially exceeds the normal component [97],... 

Also the results for the Hall coefficients in Fig. 4 reproduce very well the experimental behavior [29,30], The anomalous temperature dependence of the nH is due to the growing role of in its determination with increasing T, being dominantly determined by at T = 0. 

The electrical resistivity of Na W03, Li WOs, and K WOg has been measured at 300° K. The range of x values was 0.25 < x < 0.9. All resistivities were characteristic of a metal and lie on a single curve. Extrapolation of the conductivity curve to zero conductivity indicated that the tungsten bronzes should be semiconductors for x < 0.25. The resistivities measured for tungsten bronzes with x < 0.25 showed semiconducting behavior. The resistivity of Li WOg exhibited an anomalous peak in the p vs. T curve. The Hall coefficient of Li0 37WO3 indicated one free electron per alkali atom, as previously found for Na WOg. The Seebeck coefficient of Na WOg depended linearly on x 2/3, as expected from free electron theory. The implications of these and other data are discussed. 

Magnetic-field effects in the transport coefficients are of particular interest because of the magnetic character of the f-scattering. Due to the enhanced local susceptibility, the Hall effect and the magnetoresistance can be of anomalous size. Figure 21 shows the Hall coefficient Rn T) of CeCu in comparison with the resistivity p(T) (Milliken et al. 1988). Two main features are intriguing besides the larger size of... 

Fig. 4.13. Typical Hall coefficient vs temperature curves for an n-type sample (curve 1) and anomalous p-type samples (curves 2 and 3) after Scott and Hager [4.44]...

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