Abstract
Abstract Theory of magnetization relaxation in a diluted paramagnet based on calculations of relaxation rates due to electron–phonon coupling and magnetic dipole–dipole interactions is developed. Assuming fast establishment of equilibrium in the spin system and the Gaussian line shape for the spectral density of the dipole–dipole reservoir, we have derived a master equation for a paramagnetic ion. The developed approach is used to interpret dynamic magnetic measurements in LiYF 4 :Ho 3+ single crystals. We show specific variations of low temperature magnetization dynamics at the magnetic field values corresponding to (anti-)crossings of electron-nuclear sublevels of the Ho 3+ ground state. The measured dependences of the ac-susceptibility on frequency, holmium concentration and the applied magnetic field are described when taking into account the phonon bottleneck effect and the cross-relaxation. Evolution of the magnetization of the LiYF 4 :Ho 3+ in the reversed field is considered.
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