Universality Class of Ferromagnetic Transition in Three-Dimensional Double-Exchange System - O(N) Monte Carlo Study -

TL;DR

This study uses O(N) Monte Carlo simulations to analyze the ferromagnetic transition in a 3D double-exchange model, finding critical exponents consistent with the Heisenberg universality class.

Contribution

First systematic finite-size scaling analysis of the 3D double-exchange model using O(N) Monte Carlo methods to determine its universality class.

Findings

Critical exponents match the Heisenberg universality class.

Finite-size scaling confirms the transition is not mean-field.

Simulations performed on lattices up to 20^3 sites.

Abstract

Curie temperature and exponents are studied for the three-dimensional double-exchange model. Applying the O(N) Monte Carlo algorithm, we perform systematic finite-size scaling analyses on the data up to $20^3$ sites. The obtained values of the critical exponents are consistent with those of the Heisenberg universality class, and clearly distinct from the mean-field values.