THEORY OF ANOMALOUS HALL-EFFECT IN HEAVY-FERMION SYSTEM

The theory of the anomalous Hall effect in the heavy fermion system in the coherent regime is developed on the basis of the periodic Anderson Hamiltonian with degenerate orbitals. The anomalous Hall conductivity arises from the skew-scattering due to the orbital momenta of f-electrons in the presence of magnetic field. By a newly developed analysis based on the phase factor of the f-electron wavefunction in x-y plane, a simple expression for the Hall conductivity sigma(xy) is derived. It makes possible to understand clearly the mechanism and to estimate the sign and the magnitude of the anomalous Hall coefficient. Our theory explains well experimental results in the heavy fermion systems. Finally, we discuss the extension of this theory to explain the temperature dependence of the Hall coefficient in the cuprate high-T(c) superconductors.