Double-$\it q$ Order in a Frustrated Random Spin System

TL;DR

This study models a frustrated random spin system using a 3D Heisenberg model with site randomness, revealing a double-q ordered phase with specific wave vectors through Monte Carlo simulations.

Contribution

It demonstrates the existence and characterizes the spin ordering pattern of a double-q phase in a frustrated random spin system, using a realistic model and Monte Carlo methods.

Findings

Confirmed the double-q ordered phase with wave vectors (πππ) and (ππ0)

Identified the spin ordering pattern in the double-q phase

Validated the model with Monte Carlo simulations

Abstract

We use the three-dimensional Heisenberg model with site randomness as an effective model of the compound Sr(Fe$_{1-x}$Mn$_x$)O$_2$. The model consists of two types of ions that correspond to Fe and Mn ions. The nearest-neighbor interactions in the ab-plane are antiferromagnetic. The nearest-neighbor interactions along the c-axis between Fe ions are assumed to be antiferromagnetic, whereas other interactions are assumed to be ferromagnetic. From Monte Carlo simulations, we confirm the existence of the double-$\boldsymbol{q}$ ordered phase characterized by two wave numbers, $(\pi\pi\pi)$ and $(\pi\pi0)$. We also identify the spin ordering pattern in the double-$\boldsymbol{q}$ ordered phase.