Shubnikov–de Haas effect in multiband quasi-two-dimensional metals

We analyze the behavior of the longitudinal conductivity zz in a field perpendicular to the highly conducting plane of a quasi-two-dimensional multiband metal in the case of a closed system where chemical potential oscillations may be observed compared with the case of an open system for various forms of scattering. In all but one case, we find that there are mixing frequencies present. However, they exhibit different qualitative behaviors, as befits their different origins, and in the case of interband scattering in an open system, may in fact be absent in the de Haas–van Alphen oscillations of that system.