Non-exponential relaxation in diluted antiferromagnets

TL;DR

This paper investigates the relaxation dynamics of diluted antiferromagnets in a magnetic field, revealing non-exponential decay behavior characterized by a generalized power law, with implications for understanding disordered magnetic systems.

Contribution

It introduces a Monte Carlo simulation study of domain relaxation in diluted antiferromagnets, demonstrating a universal-like power law decay across various temperatures.

Findings

Remanent magnetization decay follows a generalized power law.

Temperature dependence consistent with thermal activation.

Universal exponent remains an open question.

Abstract

Diluted Ising antiferromagnets in a homogenous magnetic field have a disordered phase for sufficiently large values of the field and for low temperatures. Here, the system is in a domain state with a broad size-distribution of fractal domains. We study the relaxation dynamics of this domain state after removing the external field for two and three dimensions. Using Monte Carlo simulation techniques, we measure the decay of the remanent magnetization. Its temperature dependence can be understood as thermal activation. All data can be described by a unique generalized power law for a wide range of temperatures in two and three dimensions. The question wether the exponent of the generalized power law is universal remains open.