Influence of frustration on a d=3 diluted antiferromagnet: $Fe_{x}Zn_{1-x}F_{2}$

TL;DR

This study uses local mean-field simulations to explore how frustration affects the magnetic properties of a diluted antiferromagnet, revealing a percolation-like behavior and a spin-glass phase near the percolation threshold.

Contribution

It provides new insights into the effects of frustration on magnetic phase transitions in a three-dimensional diluted antiferromagnet through numerical simulation.

Findings

Initial magnetization drop follows a percolation-like exponent.

Frustrated samples exhibit a long tail with zero magnetization only at the threshold.

Numerical data confirms the presence of a spin-glass phase near the percolation threshold.

Abstract

The influence of a frustrated bond on the magnetic properties of a d=3 uniaxial (Ising) b.c.c. diluted antiferromagnet, with emphasis in the compound $Fe_{x}Zn_{1-x}F_{2}$, is investigated by a local mean-field numerical simulation. In particular we find that the initial drop of the saturation staggered magnetization ($M_{S}$) with concentration follows a percolation-like phenomenon characterized by an exponent $\beta_{p}$. For the frustrated samples, however, this regime is followed by a second one identified by a ``long tail" effect such that $M_{S}$ is zero only at the percolation threshold. Our numerical data also confirms a spin-glass phase near this threshold.