Transport coefficients in strong magnetic fields

Abstract

Formulae describing the electron transport coefficients as functions of the conductivity tensor are derived on the basis of the linear response theory. It is shown that the Wiedemann-Franz law and the Mott rule are obeyed even in the presence of a quantizing magnetic field omega tau >1 if the scattering of electrons is elastic and if h(cross) omega >>kT. As no assumptions about the form of the one-electron potential are made, the conclusions are valid not only in the case of the Shubnikov-de Haas oscillations but also if effects such as magnetic breakdown and the size-effect appear.