Theory of the transverse static magnetoconductivity in a two-dimensional electron-phonon system

The theory of the transverse static magnetoconductivity (σsub(xx)) in a two-dimensional system under the simultaneous influence of electron-phonon and electron-impurity interactions is presented. The memory function technique is employed to obtain explicit expression for σsub(xx) under conditions appropriate for typical Shubnikov-deHass measurements. It is shown that σsub(xx) involves two different effective masses and scattering times, of which one is the scattering time in the absence of the magnetic field. In addition, the Landau level width appears in σsub(xx), thus providing an experimental means for extracting the same from a study of the background conductivity. (author)