Effect of the Fermi surface shape on the de Haas-van Alphen oscillations in layered conductors

In this paper we theoretically analyze the effects of the Fermi surface (FS) shape on the magnetic oscillations in quantizing magnetic fields in quasi-two dimensional layered conductors. The theory is developed basing on a phenomenological model for the electron energy spectra introduced in the paper. The model enables to take into consideration various Fermi surface profiles, and this gives it the advantage over the commonly used tight-binding approximation. It is shown that when the FS curvature becomes zero at an effective cross-section with maximum/minimum cross-sectional area, this could significantly affect amplitude, shape and phase of the oscillations as well as the field dependence of the amplitude.