Development and application of a three-dimensional pseudo-Voigt function for muon spin relaxation analysis of weakly magnetic materials

Author:

Umar M. D.1ORCID,Hariyanto H. L.2ORCID,Absor M. A. U.1ORCID

Affiliation:

1. Department of Physics, Universitas Gadjah Mada 1 , Yogyakarta 55281, Indonesia

2. Department of Mathematics and Information Technology, Institut Teknologi Kalimantan 2 , Jl. Soekarno Hatta KM 15, Balikpapan 76127, Indonesia

Abstract

We present a three-dimensional pseudo-Voigt function to analyze muon spin relaxation (μSR) in weakly magnetic materials. Our approach approximates the Voigt function by superimposing Gaussian and Lorentzian functions using a one-dimensional method proposed by Di Rocco and Cruzado [Acta Phys. Pol., A 122, 666 (2012)]. We derive the peak of the Voigt function analytically and express the Half Width at Half Maximum (HWHM) of the Voigt function as a function of the HWHMs of the Gaussian and Lorentzian functions. We compare the pseudo-Voigt function to the exact Voigt function and find a maximum normalized discrepancy of ∼20% at the tail of the distribution function, depending on the ratio of Lorentzian to Gaussian HWHMs and internal magnetic field. We apply the derived three-dimensional pseudo-Voigt function to calculate μSR functions for zero- and longitudinal-field experiments and use them to fit μSR time spectra of La2−xSrxCuO4 with 2.4% Sr, employing a strong collision model with the static-based pseudo-Voigt muon spin relaxation function as the initial condition. Our results show that the Gaussian- and Lorentzian-fitted parameters and fluctuation rate are in good agreement with results from the exact Voigt function for a temperature range of 30–200 K, with the deviation of Gaussian and Lorentzian width parameters reaching ∼0.15 G below 30 K.

Funder

Universitas Gadjah Mada

Publisher

AIP Publishing

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