A Scaling Relation of Anomalous Hall Effect in Ferromagnetic Semiconductors and Metals

摘要

A scaling relation of the anomalous Hall effect recently found in a ferromagnetic semiconductor (Ti,Co)O2 is compared with those of various ferromagnetic semiconductors and metals. Many of these compounds with relatively low conductivity σ_(χχ) ≤ 10~4 Ω~(-1).cm~(-1) are also found to exhibit similar relation: anomalous Hall conductivity σ_(AH) approximately scales as σ_(AH) ∝ σ_(χχ~1.6), that is coincident with a recent theory. This relation is valid over five decades of σ_(χχ) irrespective of metallic or hopping conduction.