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Magnetic oscillations and frequency mixing in a two-band conductor

机译：两频导体中的磁振荡和混频

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摘要

Exact analytical results of the de Haas-van Alphen (dHvA) effect in an idealized two-band Fermi liquid with parabolic dispersion are presented. We consider a Fermi surface consisting in two electron bands with different band edges and band masses. Magnetic breakthrough between the bands is negligible. Analytical expressions of the dHvA Fourier amplitudes are derived in the case where the total number of electron is fixed (Canonical Ensemble). As already reported in the literature, the oscillations of the chemical potential yield frequency mixing and Lifshitz-Kosevich theory, which is valid in the Grand Canonical Ensemble, does not apply at very low temperature. We show that the corresponding Fourier amplitudes depend on the commensurability between the two effective masses and also the two fundamental frequencies. (C) 2004 Elsevier B.V. All rights reserved.
机译：给出了在具有抛物线色散的理想化的两波段费米液体中的de Haas-van Alphen（dHvA）效应的精确分析结果。我们考虑由两个具有不同能带边缘和能带质量的电子带组成的费米表面。频带之间的磁穿透可以忽略不计。 dHvA傅立叶振幅的解析表达式是在电子总数固定（规范集合）的情况下得出的。正如文献中已经报道的那样，在大正典合奏中有效的化学势屈服频率混合和Lifshitz-Kosevich理论的振荡不适用于非常低的温度。我们表明，相应的傅立叶振幅取决于两个有效质量之间的可比性，也取决于两个基本频率。 （C）2004 Elsevier B.V.保留所有权利。

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