Relation between anomalous Hall effect and the Dzaloshisky–Moriya anisotropy in the series of [formula omitted] alloys

Abstract

The influence of the Dzyaloshinsky–Moriya (DM) anisotropy on R s ≡ ρ ex / M , where ρ ex 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 the third non-magnetic impurities. The Hall resistivity ρ H , the magnetization M and the resistivity ρ were measured in the series of ( Ag 1 - x Au x ) 0.9 Mn 0.1 alloys with x = 0 , 0.007, 0.03, and 0.05. The difference between the values of zero field cooled and field cooled R s , below the SG transition temperature, clearly increased with the amount of Au impurities. The dependence of the chirality contribution to R s on the DM anisotropy is discussed in relation to the theoretical work for the chirality-driven anomalous Hall effect in weak coupling regime.