A simple approach to the Hall conductivity evaluation in impure metals within the Green function formalism
Edelstein V.M.
PACS: 72.15.Gd
A simple method to deal with the Hall effect in metals with short-ranged impurities in a weak magnetic field is proposed. The method is based on a Schwinger representation for the electron Green function in the magnetic field. The method efficiency is demonstrated on an calculation of the antisymmetric components of the conductivity tensor at finite wave vector.