Non-Arrhenius relaxation of the Heisenberg model with dipolar and anisotropic interactions

TL;DR

This study investigates the non-Arrhenius relaxation dynamics in a 2D Heisenberg model with dipolar and anisotropic interactions, revealing a transition to Vogel-Fulcher-Tamann behavior and potential system freezing.

Contribution

It demonstrates the emergence of Vogel-Fulcher-Tamann relaxation laws in a dipolar Heisenberg model, linking domain dynamics to anomalous slowing down.

Findings

Relaxation slows down below a certain temperature.

Vogel-Fulcher-Tamann law describes the relaxation behavior.

Energy barrier distribution supports the freezing mechanism.

Abstract

The dynamical properties of a 2D Heisenberg model with dipolar interactions and perpendicular anisotropy are studied using Monte Carlo simulations in two different ordered regions of the equilibrium phase diagram. We find a temperature defining a dynamical transition below which the relaxation suddenly slows down and the system aparts from the typical Arrhenius relaxation to a Vogel-Fulcher-Tamann law. This anomalous behavior is observed in the scaling of the magnetic relaxation and may eventually lead to a freezing of the system. Through the analysis of the domain structures we explain this behavior in terms of the domains dynamics. Moreover, we calculate the energy barriers distribution obtained from the data of the magnetic viscosity. Its shape supports our comprehension of both, the Vogel-Fulcher-Tamann dynamical slowing down and the freezing mechanism.