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

Abstract

We analyze the behavior of the longitudinal conductivity ${\sigma }_{zz}$ in a field perpendicular to the highly conducting plane of a quasi-2D {\em multiband} metal in the case of closed system and open systems where $\tau$ is fixed, $\tau$ oscillates due to intra-band scattering and $\tau$ oscillates due to inter-band scattering. In all but one case, we find that there are also mixing frequencies present -- however they exhibit different qualitative behaviors, as befits their different origins, and in the case of inter-band scattering in an opensystem, may in fact be absent in the dHvA oscillations of that system.

22 pages, 7 figures; paper reorganised and extended, with two additional results now included (the abstract has been updated to reflect this)

References in corpus (3)

• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• Shubnikov-de Haas oscillations in YBa_2Cu_4O_8
• Reply to "Comment on 'Origin of combination frequencies in quantum magnetic oscillations of two-dimensional multiband metals' " by A.S. Alexandrov and A.M. Bratkovsky [cond-mat/0207173]