Do Fourier analysis yield reliable amplitude of quantum oscillations?

TL;DR

This paper investigates how the choice of windowing and finite data range affect the reliability of Fourier analysis in measuring quantum oscillation amplitudes, crucial for understanding electronic properties in multiband metals.

Contribution

It demonstrates the dependence of Fourier amplitudes on windowing methods and data range, providing guidelines for more accurate analysis of quantum oscillations.

Findings

Fourier amplitudes vary significantly with window type and width.

Certain windowing choices improve the reliability of amplitude extraction.

Implications for accurate effective mass determination in quantum oscillation studies.

Abstract

Quantum oscillations amplitude of multiband metals, such as high T c superconductors in the normal state, heavy fermions or organic conductors are generally determined through Fourier analysis of the data even though the oscillatory part of the signal is field-dependent. It is demonstrated that the amplitude of a given Fourier component can strongly depend on both the nature of the windowing (either flat, Hahn or Blackman window) and, since oscillations are obtained within finite field range, the window width. Consequences on the determination of the Fourier amplitude, hence on the effective mass are examined in order to determine the conditions for reliable data analysis.