Scaling behavior of anomalous Hall effect and longitudinal nonlinear response in high-Tcsuperconductors

Abstract

Some interesting empirical scaling relations of anomalous Hall resistivity xy which tend to be sample, field, and temperature independent are found. Based on existing theoretical models and considering the expression of longitudinal nonlinear response function, we derive a nonlinear equation in which the mixed state Hall resistivity can be expressed as an analytical function of magnetic field, temperature, and applied current. This equation enables one to compare quantitatively the experimental data with the theoretical model. The comparison between our theoretical curves and experimental data shows a fair agreement.