Fig. 4: Phonon frequency and magnetization temperature dependencies.
From: Dynamic signatures of spin-lattice coupling in the layered ferrimagnet Mn3Si2Te6

The damped oscillation frequency (blue dots, left y-axis) obtained from Eq. 5, plotted as a function of temperature and the temperature-dependent magnetization (green dots, right y-axis) measured with an applied field of 0.5 T. The black lines are fits from Eq. (6), with \({\omega }_{0}=3.55\) THz and \(\varOmega =-0.01\) (solid), with \({\omega }_{0}=3.578\) THz and \(\varOmega =-0.01\) (dashed), with \({\omega }_{0}=3.63\) THz and \(\varOmega =-0.055\) (dots).