Eur. Phys. J. B (2017) 90: 60
https://doi.org/10.1140/epjb/e2017-70505-2

Regular Article

de Haas-van Alphen oscillations with non-parabolic dispersions

¹ Institut Jean Lamour, Département de Physique de la Matière et des Matériaux, Groupe de Physique Statistique, CNRS UMR 7198 – Nancy-Université, BP 70239, 54506 Vandoeuvre-lès-Nancy Cedex, France
² Laboratoire National des Champs Magnétiques Intenses (UPR 3228 CNRS, INSA, UGA, UPS), 143 avenue de Rangueil, 31400 Toulouse, France

^a e-mail: jean-yves.fortin@univ-lorraine.fr

Received: 29 August 2016
Received in final form: 22 December 2016
Published online: 3 April 2017

Abstract

de Haas-van Alphen oscillation spectrum of two-dimensional systems is studied for general power law energy dispersion, yielding a Fermi surface area of the form S(E) ∝ E^α for a given energy E. The case α = 1 stands for the parabolic energy dispersion. It is demonstrated that the periodicity of the magnetic oscillations in inverse field can depend notably on the temperature. We evaluated analytically the Fourier spectrum of these oscillations to evidence the frequency shift and smearing of the main peak structure as the temperature increases.