Polar phonons and magnetic excitations in the antiferromagnet CoF$_2$

TL;DR

This study investigates the coupling between phonons and magnetic excitations in CoF$_2$, revealing spin-phonon interactions, magnetodielectric effects, and magnetic excitations through infrared spectroscopy and first-principles calculations.

Contribution

It provides a comprehensive analysis of spin-phonon coupling and magnetic excitations in CoF$_2$, highlighting the role of specific phonon modes and their impact on magnetic properties.

Findings

Infrared-active phonons shift frequency at antiferromagnetic transition

Magnetodielectric effect observed due to phonon behavior

Magnetic excitations identified as magnetodipole in origin

Abstract

The coupling between antiferromagnetic spins and infrared-active phonons in solids is responsible for many intriguing phenomena and is a field of intense research with extensive potential applications in the modern devices based on antiferromagnetic spintronics and phononics. Insulating rutile antiferromagnetic crystal CoF$_2$ is one of the model materials for studying nonlinear magnetophononics due to the strong spin-lattice coupling as a result of the orbitally degenerate ground state of Co$^{2+}$ ions manifested in the plethora of static and induced piezomagnetic effects. Here we report results on the complete infrared spectroscopy study of lattice and magnetic dynamics in CoF$_2$ in a wide temperature range and their careful analysis. We observed that infrared-active phonons demonstrate frequency shifts at the antiferromagnetic ordering. Furthermore, using first-principles calculations, we examined the lattice dynamics and disclosed that these frequency shifts are rather due to the spin-phonon coupling than geometrical lattice effects. Next we found that the low-frequency dielectric permittivity demonstrates distinct changes at the antiferromagnetic ordering due to the spontaneous magnetodielectric effect caused by the behavior of infrared-active phonons. In addition, we have observed magnetic excitations in the infrared spectra and identified their magnetodipole origin. To strengthen our conclusions, we analyze the theoretical phonon-magnon coupling overall phonons at the $\Gamma$ point. We conclude that the largest effect comes from the $A_{1g}$ and $B_{2g}$ Raman-active modes. As such, our results establish a solid basis for further investigations and more deeper understanding of the coupling of phonons with spins and magnetic excitations in antiferromagnets.