The Hall effect in the ladder approximation

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Abstract
The theory of the Hall effect of interacting electrons in the ladder approximation, formulated by Fukuyama, Ebisawa and Wada (1969), is further investigated. The 'dispersive' contributions to the Hall conductivity, which were not given in their original paper, are calculated explicitly in order to complete the treatment. In the isotropic case the new term, as well as the old one, is shown to be related only to the electronic states at the Fermi level. The final expression thus obtained includes the effect of damping (the finite-width effect).