Muon diffusion in diluted paramagnetic systems

TL;DR

This paper introduces a new model for analyzing Muon Spin Rotation/Relaxation ({mu}SR) data that accounts for both muon diffusion and dynamic magnetic moments, demonstrated on Dy0.4Y1.6Ti2O7.

Contribution

A novel model that incorporates both muon diffusion and magnetic moment dynamics into {mu}SR data analysis, extending previous formalism.

Findings

Successfully applied the model to Dy0.4Y1.6Ti2O7 data.

Enhanced understanding of magnetic and diffusion dynamics in paramagnetic systems.

Provides a framework for analyzing complex {mu}SR signals.

Abstract

Muon Spin Rotation/Relaxation ({\mu}SR) is a powerful probe to study diffusion of hydrogen-like particles. One of the most common model to analyze {\mu}SR signals from materials where diffusion occurs, is by using functions derived from the stochastic theory of Kubo and Toyabe along with the strong collision model. Unfortunately the current formalism can not be used to analyze data from systems where not only muons diffuse, but also the magnetic moments of the material are dynamic. In this article we introduce a new model which accounts for both dynamical effects, and use this model to analyze {\mu}SR signals from Dy0.4Y1.6Ti2O7.