Off-Diagonal dipolar interactions in the mixed Ising--XY magnet $LiH{o}_{x}E{r}_{1-x}{F}_4$

Abstract

We theoretically investigate the influence of off-diagonal dipolar interactions in the mixed-anisotropy magnet $LiH{o}_{x}E{r}_{1-x}{F}_4$. Motivated by experimental observations showing an unexpectedly rapid suppression of the ferromagnetic transition temperature $T_c$ upon substitution of Ho by Er ions, we use Monte Carlo simulations incorporating off-diagonal dipolar terms to elucidate the underlying physical mechanism. Our results reveal that, unlike in the diluted magnet $LiH{o}_x{Y}_{1-x}{F}_4$, where dilution weakens the effect of these interactions, substitution by planar Er ions amplifies it. This leads to a pronounced reduction of $T_c$, closely matching experimental data, thereby resolving discrepancies with mean-field predictions. The findings underscore the essential role of off-diagonal dipolar interactions in determining the magnetic properties of mixed-anisotropy dipolar systems.

10 pages, 7 figures

References in corpus (13)

• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• Induced Random Fields in the LiHo${}_x$Y${}_{1-x}$F${}_4$ Quantum Ising Magnet in a Transverse Magnetic Field
• Ferromagnet in a continuously tuneable random field
• $\mathrm{LiH}{\mathrm{o}}_{\mathrm{x}}{\mathrm{Y}}_{1-\mathrm{x}}{\mathrm{F}}_4$ as a random field Ising ferromagnet
• The low-$T$ phase diagram of $\mathrm{LiH}{\mathrm{o}}_{\mathrm{x}}{\mathrm{Y}}_{1-\mathrm{x}}{\mathrm{F}}_4$
• The 3D +-J Ising model at the ferromagnetic transition line
• Spin Glass Transition at Nonzero Temperature in a Disordered Dipolar Ising System: The Case of LiHoxY{1-x}F4
• Phase diagram of the dilute magnet LiHo_xY_{1-x}F_4
• Kernel method for corrections to scaling
• Perturbative Quantum Monte Carlo Study of LiHoF4 in a Transverse Magnetic Field
• Tuning magnetoelectricity in a mixed-anisotropy antiferromagnet
• Phase diagram of diluted Ising ferromagnet LiHo${}_x$Y${}_{1-x}$F${}_4$
• LiHoF4 as a spin-half non-standard quantum Ising system