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

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-$\mathbf{q}$ ordered phase characterized by two wave numbers, $(\pi \pi \pi )$ and $(\pi \pi 0)$. We also identify the spin ordering pattern in the double-$\mathbf{q}$ ordered phase.

5pages, 3figures

References in corpus (2)

• Origin of the Structural and Magnetic Anomaly of the Layered Compound SrFeO2: A Density Functional Investigation
• Chiral mixed phase in disordered 3d Heisenberg models