Analytical treatment of the de Haas-van Alphen frequency combination due to chemical potential oscillations in an idealized two-band Fermi liquid

被引：22
作者：
Fortin, JY
Perez, E
Audouard, A
机构：
[1] Univ Louis Pasteur Strasbourg 1, Phys Theor Lab, UMR 7085, CNRS, F-67084 Strasbourg, France
[2] UPS, CNRS, INSA, Lab Natl Champs Magnet Pulses,UMR 5147, F-31432 Toulouse, France
来源：
PHYSICAL REVIEW B | 2005年 / 71卷 / 15期
关键词：
D O I：
10.1103/PhysRevB.71.155101
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The 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. Good agreement is obtained between analytical formulas and numerical computations.
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