Fourier transformation based analysis routine for intermixed longitudinal and transversal hysteretic data for the example of a magnetic topological insulator

TL;DR

This paper introduces a Fourier-based symmetrization routine to analyze intermixed longitudinal and transversal hysteretic data, exemplified on a magnetic topological insulator, enabling precise extraction of hysteresis parameters.

Contribution

The paper presents a novel Fourier transformation method for analyzing intermixed hysteresis data, improving accuracy and ease of extracting key magnetic properties.

Findings

Effective symmetrization of hysteresis data demonstrated

Accurate determination of hysteresis height and coercive field achieved

Method applicable to various symmetric hysteresis phenomena

Abstract

We present a symmetrization routine that optimizes and eases the analysis of data featuring the anomalous Hall effect. This technique can be transferred to any hysteresis with (point-)symmetric behaviour. The implementation of the method is demonstrated exemplarily using intermixed longitudinal and transversal data obtained from a chromium-doped ternary topological insulator revealing a clear hysteresis. Furthermore, by introducing a mathematical description of the anomalous Hall hysteresis based on the error function precise values of the height and coercive field are determined.