Hall resistivity in ferromagnetic manganese-oxide compounds

The transport properties of manganese-oxides are studied using the spin correlation fluctuation scattering mechanism. It is shown that the Hall resistivity in a small magnetic field exhibits a maximum near the Curie point, and a strong field shifts the peak position to high temperature and suppresses the peak value; the dependence of the Hall resistivity on the magnetic field above T_c and below T_c is different. These results agree with the experimental curves qualitatively, but disagree quantitatively, which indicates that the spin correlation fluctuation scattering might not be the dominant mechanism of the colossal magnetoresistance. The double polaron mechanism due to strong electron-phonon and electron-spin coupling is proposed to be responsible for the colossal magnetoresistance in manganese-oxides.