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 (17)

• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• Shubnikov-de Haas oscillations in YBa_2Cu_4O_8
• Theory of the Shubnikov-de Haas effect in quasi-two-dimensional metals
• The de Haas-van Alphen effect in canonical and grand canonical multiband Fermi liquid
• Slow oscillations of magnetoresistance in quasi-two-dimensional metals
• de Haas-van Alphen Effect in the Two-Dimensional and the Quasi-Two-Dimensional Systems
• Magnetic Quantum Oscillations of the Longitudinal Conductivity ${\sigma }_{zz}$ in Quasi two-dimensional Metals
• Semi-classical theory of magnetic quantum oscillations in a two-dimensional multiband canonical Fermi liquid
• Origin of combination frequencies in quantum magnetization oscillations of two-dimensional multiband metals
• New Fundamental dHvA Frequency in Canonical Low-Dimensional Fermi Liquids
• Analytical treatment of the dHvA frequency combinations due to chemical potential oscillations in an idealized two-band Fermi liquid
• Angular dependence of novel magnetic quantum oscillations in a quasi-two-dimensional multiband Fermi liquid with impurities
• Frequency combinations in the magnetoresistance oscillations spectrum of a linear chain of coupled orbits with a high scattering rate
• Comment on "Magnetic quantum oscillations of the conductivity in layered conductors"
• Combination quantum oscillations in canonical single-band Fermi liquids
• 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]

Cited by in corpus (4)

• Weakly incoherent magnetotransport in layered metals
• Quantum Oscillations of the Quasiparticle Lifetime in a Metal
• Theory of Difference Frequency Quantum Oscillations
• Organic conductors in high magnetic fields: model systems for quantum oscillations physics