Study of ordering in 2D ferromagnetic nanoparticles arrays: Computer simulation

Sergey V. Belim; Sergey V. Belim

doi:10.3934/matersci.2023051

AIMS Materials Science

2023, Volume 10, Issue 6: 948-964. doi: 10.3934/matersci.2023051

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Study of ordering in 2D ferromagnetic nanoparticles arrays: Computer simulation

Sergey V. Belim ^,

Department of Physics, Omsk State Technical University, 11 pr. Mira, Omsk 644050, Russia

Received: 19 March 2023 Revised: 24 September 2023 Accepted: 07 October 2023 Published: 26 October 2023

This article describes ordering in a 2D ferromagnetic nanoparticles array by computer simulation. The Heisenberg model simulates the behavior of spins in nanoparticles. Nanoparticles interact using dipole-dipole forces. Computer simulations use the Monte Carlo method and Metropolis algorithm. Two possible types of ordering for the nanoparticles' magnetic moments are detected in the system. The magnetic anisotropy direction for the nanoparticles determines the type of ordering. If the anisotropy direction is oriented perpendicular to the substrate plane, then a superantiferromagnetic phase with staggered magnetization is realized. If the magnetic anisotropy is oriented in the nanoparticle plane, the superantiferromagnetic phase has a different structure. The nanoparticle array is broken into chains parallel to the anisotropy orientations. In one chain of nanoparticles, magnetic moments are oriented in the same way. The magnetic moments of the nanoparticles are oriented oppositely in neighbor chains. The temperature of phase transitions is calculated based on finite dimensional scaling theory. Temperature depends linearly on the intensity of the dipole-dipole interaction for both types of superantiferromagnetic transition.
- ferromagnetic nanoparticles array,
- antiferromagnetic,
- phase transition,
- dipole-dipole interaction,
- computer simulation
Citation: Sergey V. Belim. Study of ordering in 2D ferromagnetic nanoparticles arrays: Computer simulation[J]. AIMS Materials Science, 2023, 10(6): 948-964. doi: 10.3934/matersci.2023051

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Abstract

This article describes ordering in a 2D ferromagnetic nanoparticles array by computer simulation. The Heisenberg model simulates the behavior of spins in nanoparticles. Nanoparticles interact using dipole-dipole forces. Computer simulations use the Monte Carlo method and Metropolis algorithm. Two possible types of ordering for the nanoparticles' magnetic moments are detected in the system. The magnetic anisotropy direction for the nanoparticles determines the type of ordering. If the anisotropy direction is oriented perpendicular to the substrate plane, then a superantiferromagnetic phase with staggered magnetization is realized. If the magnetic anisotropy is oriented in the nanoparticle plane, the superantiferromagnetic phase has a different structure. The nanoparticle array is broken into chains parallel to the anisotropy orientations. In one chain of nanoparticles, magnetic moments are oriented in the same way. The magnetic moments of the nanoparticles are oriented oppositely in neighbor chains. The temperature of phase transitions is calculated based on finite dimensional scaling theory. Temperature depends linearly on the intensity of the dipole-dipole interaction for both types of superantiferromagnetic transition.

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