Relaxation effects in the charge-ordered state of La$_{0.5}$Ca$_{0.5}$MnO$_{3}$

TL;DR

This study investigates how resistivity and magnetization in La$_{0.5}$Ca$_{0.5}$MnO$_{3}$ relax over time under various conditions, revealing stretched exponential behavior explained by a hierarchical relaxation model.

Contribution

It provides the first detailed analysis of relaxation dynamics in charge-ordered La$_{0.5}$Ca$_{0.5}$MnO$_{3}$ using a hierarchical model to explain experimental data.

Findings

Resistivity and magnetization relax with a stretched exponential time dependence.

Relaxation behavior varies with temperature and magnetic field conditions.

Hierarchical distribution of relaxation times effectively models the observed data.

Abstract

We report an experimental study of the time dependence of the resistivity and magnetization of charge-ordered La$_{0.5}$Ca$_{0.5}$MnO$_{3}$ under different thermal and magnetic field conditions. A relaxation with a stretched exponential time dependence has been observed at temperatures below the charge ordering temperature. A model using a hierarchical distribution of relaxation times can explain the data.