Theory of the Shubnikov—de Haas effect

Quantum oscillations of the electrical conductivity σαβ and the resistivity ραβ tensors are studied using the general formulae of E.M. Lifshits.(1) It is shown that the oscillations of σαβ and ραβ are expressed in terms of oscillations of the magnetic moment in the de Hass-van Alphen effect and the classical values of the mobility tensor. Asymptotes of the oscillation amplitudes in strong magnetic fields are investigated and the simplest cases in which complete calculations of the oscillation amplitudes may be carried out are discussed.