Origin of combination frequencies in quantum magnetization oscillations of two-dimensional multiband metals

Abstract

The influence of chemical potential oscillations on the magnetization oscillations in two-dimensional multiband metals is investigated. In a first part, the analytical derivation of Alexandrov and Bratkovsky [Phys. Rev. B \textbf{63}, 033105 (2001)] of magnetic quantum oscillations in two-dimensional multiband metals with a fixed number of electrons is shown to be mathematically incorrect ; the chemical potential oscillations appearing in the arguments of the Fourier components were not taken into account. In a second part, we derive an approximative Fourier series of the magnetization oscillations in the regime of small chemical potential oscillations. The main result is that combination frequencies with significant amplitudes are found if the individual band frequencies differ significantly.

4 pages, no figures, published version (some changes of words in the abstract and in the text)

References in corpus (1)

• The influence of the oscillations of the chemical potential on the de Haas - van Alphen effect in quasi-two-dimensional compounds

Cited by in corpus (14)

• Weakly incoherent magnetotransport in layered metals
• Analytical treatment of the dHvA frequency combinations due to chemical potential oscillations in an idealized two-band Fermi liquid
• Crystal structure, Fermi surface calculations and Shubnikov-de Haas oscillations spectrum of the organic metal $\theta$-(BETS)${}_4$HgBr${}_4$(C${}_6$H${}_5$Cl) at low temperature
• Low-frequency Quantum Oscillations from Interactions in Layered Metals
• Damping of field-induced chemical potential oscillations in ideal two-band compensated metals
• Random walks and magnetic oscillations in compensated metals
• The Shubnikov-de Haas effect in multiband quasi-two dimensional metals
• Organic conductors in high magnetic fields: model systems for quantum oscillations physics
• Shubnikov-de Haas oscillations spectrum of the strongly correlated quasi-2D organic metal (ET)8[Hg4Cl12(C6H5Br)]2 under pressure
• Combination quantum oscillations in canonical single-band Fermi liquids
• De Haas-van Alphen oscillations near the Lifshitz transition from two electron pockets to one electron pocket in the two-dimensional Dirac fermion systems
• Shubnikov-de Haas oscillations and electronic correlations in the layered organic metal $\kappa$-(BETS)${}_2$Mn[N(CN)${}_2$]${}_3$
• 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]
• Enhancements of the 3/2 and 5/2 frequencies of de Haas-van Alphen oscillations near the Lifshitz transition in the two-dimensional compensated metal with overtilted Dirac cones