We report a systematic study of the temperature dependence of the anomalous Hall and longitudinal conductivities σxy and σxx and resistivities ρxy and ρxx in a series of metallic (Ga,Mn)As samples. Two universal scaling relations are obtained: σxyσxx1.5, obtained from measurements at a fixed low temperature (2.0 K) on a series of samples with different Mn concentrations; and ρxy/mρxx2, where m is normalized magnetization, obtained from the temperature variation of ρxx and ρxy measured on each sample of the series. The former scaling relation is, however, found to break down for highly conducting (Ga,Mn)As samples (σxx100 Ω-1 cm-1). The latter scaling relation leads to a magnetization-dependent anomalous Hall coefficient, which we attribute to the emergence of magnetization fluctuations at high temperatures.
|Journal||Physical Review B - Condensed Matter and Materials Physics|
|Publication status||Published - 2011 Apr 25|
ASJC Scopus subject areas
- Condensed Matter Physics
- Electronic, Optical and Magnetic Materials