A simple approach to the evaluation of the hall conductivity in impure metals within the green function formalism

A simple method of dealing 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 efficacy of the method is demonstrated on a calculation of the antisymmetric components of the conductivity tensor at finite wave vector. Pis’ma Zh. éksp. Teor. Fiz. 67, No. 2, 141–145 (25 January 1998) Published in English in the original Russian journal. Edited by Steve Torstveit.