Hall effect of a dirty type II superconductor nearH c2

The theory of the Hall effect of dirty, type II superconductors nearH _c2 by Ebisawa based on the free-electron model is extended to the case of isotropic but arbitrary energy—momentum relation. It is also shown that the detailed form of the impurity potential, i.e., the momentum dependence of its Fourier transform, which is neglected in Ebisawa's work, also contributes to the effect and its contribution is calculated. The result shows that, besides the energy dependence of the density of states and electron velocity near the Fermi energy of the host metal, the detailed nature of the impurity also has a large influence on the Hall effect. The theory is compared with experiment.On leave of absence from Research Institute of Electrical Communication, Tohoku University, Sendai, Japan.