Anisotropy dependence of anomalous Hall effect in canonical spin glass alloys

The influence of the Dzyaloshinsky–Moriya (DM) anisotropy on the extraordinary Hall coefficient , where ρex is the extraordinary Hall resistivity and M is the magnetization, is investigated in canonical spin-glass (SG) alloys. The strength of the DM anisotropy in the alloys is changed systematically by doping with a third impurity that is non-magnetic. The Hall resistivity ρH, the magnetization M and the resistivity ρ were measured in the series of (Ag1−xAux)0.9Mn0.1 alloys with x = 0, 0.007, 0.03, and 0.05. The difference ΔRs between the values of zero-field-cooled and field-cooled Rs, below the SG transition temperature, clearly increased with the amount of Au impurities. The dependence of the chirality contribution to Rs on the DM anisotropy is discussed in relation to the theoretical work for the chirality-driven anomalous Hall effect in the weak coupling regime.