de Haas-van Alphen oscillations with non-parabolic dispersions

Abstract

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.

A general formulation for the magnetic oscillations in two dimensional systems

“…Despite the recent advances in the study of the MO in 2D materials [41][42][43][44][45][46][47][48], the analysis usually considers special cases, such as assuming only a perpendicular magnetic or electric field [49][50][51][52][53][54]. There is no general formulation of the MO, in case the LL depend on other variables or indices.…”

A general formulation for the magnetic oscillations in two dimensional systems

“…Despite the recent advances in the study of the MO in 2D materials [41][42][43][44][45][46][47][48], the analysis usually considers special cases, such as assuming only a perpendicular magnetic or electric field [49][50][51][52][53][54]. There is no general formulation of the MO, in case the LL depend on other variables or indices.…”