Analytical treatment of the dHvA frequency combinations due to chemical potential oscillations in an idealized two-band Fermi liquid

Abstract

de Haas-van Alphen oscillation spectrum is studied for an idealized two-dimensional Fermi liquid with two parabolic bands in the case of canonical (fixed number of quasiparticles) and grand canonical (fixed chemical potential) ensembles. As already reported in the literature, oscillations of the chemical potential in magnetic field yield frequency combinations that are forbidden in the framework of the semiclassical theory. Exact analytical calculation of the Fourier components is derived at zero temperature and an asymptotic expansion is given for the high temperature and low magnetic field range. A good agreement is obtained between analytical formulae and numerical computations.

arXiv comment10 pages, 4 figures

References in corpus (6)

• The de Haas-van Alphen effect in canonical and grand canonical multiband Fermi liquid
• de Haas-van Alphen Effect in the Two-Dimensional and the Quasi-Two-Dimensional Systems
• 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
• Competing types of quantum oscillations in the 2D organic conductor (BEDT-TTF)8Hg4Cl12(C6H5Cl)2

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• Organic conductors in high magnetic fields: model systems for quantum oscillations physics
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