# de Haas-van Alphen oscillations with non-parabolic dispersions

## TL;DR

This paper investigates how de Haas-van Alphen oscillation spectra in two-dimensional systems vary with general power law dispersions, revealing temperature-dependent frequency shifts and peak smearing effects.

## Contribution

It provides an analytical study of magnetic oscillations for non-parabolic dispersions, extending understanding beyond the standard parabolic case.

## Key findings

- Oscillation periodicity depends on temperature for non-parabolic dispersions.
- Analytical Fourier spectrum shows frequency shifts with increasing temperature.
- Main peak structures become smeared at higher temperatures.

## 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 $S(E)\propto E^\alpha$ for a given energy $E$. The case $\alpha=1$ 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.