Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-06-24
Physics
Condensed Matter
Statistical Mechanics
10 pages, 4 figures
Scientific paper
10.1103/PhysRevB.71.155101
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.
Audouard Alain
Fortin Jean-Yves
Perez Emanuelle
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