Low-temperature properties of the dilute dipolar magnet LiHo_xY_(1-x)F_4

Abstract

We analyze recent experiments on the dilute rare-earth compound LiHo_xY_(1-x)F_4 in the context of an effective Ising dipolar model. Using a Monte Carlo method we calculate the low-temperature behavior of the specific heat and linear susceptibility, and compare our results to measurements. In our model the susceptibility follows a Curie-Weiss law at high temperature, chi ~ 1/(T-T_cw), with a Curie-Weiss temperature that scales with dilution, T_cw ~ x, consistent with early experiments. We also find that the peak in the specific heat scales linearly with dilution, C_max(T) ~ x, in disagreement with recent experiments. Experimental studies do not reach a consensus on the functional form of these quantities, and in particular we do not see reported scalings of the form chi ~ T^-0.75 and chi ~ exp(-T/T_0). Furthermore we calculate the ground state magnetization as a function of dilution, and re-examine the phase diagram around the critical dilution x_c=0.24(3). We find that the spin glass susceptibility for the Ising model does not diverge below x_c, while recent experiments give strong evidence for a stable spin-glass phase in LiHo_0.167Y_0.833F_4.

arXiv comment6 pages, 9 figures

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Cited by in corpus (16)

• Observation of Spin Glass Dynamics in Dilute LiHo${}_x$Y${}_{1-x}$F${}_4$
• Spin Glass Transition at Nonzero Temperature in a Disordered Dipolar Ising System: The Case of LiHoxY{1-x}F4
• Collective Phenomena in the LiHo_xY_{1-x}F4 Quantum Ising Magnet: Recent Progress and Open Questions
• Monte Carlo study of the spin-glass phase of the site-diluted dipolar Ising model
• Perturbative Quantum Monte Carlo Study of LiHoF4 in a Transverse Magnetic Field
• Existence of a Thermodynamic Spin-Glass Phase in the Zero-Concentration Limit of Anisotropic Dipolar Systems
• Non-monotonic residual entropy in diluted spin ice: a comparison between Monte Carlo simulations of diluted dipolar spin ice models and experimental results
• Experimental Phase Diagram and Dynamics of a Dilute Dipolar-Coupled Ising System
• Phase diagram with enhanced spin-glass region of mixed Ising / XY magnets LiHo${}_x$Er${}_{1-x}$F${}_4$
• Study of the ground state properties of $LiH{o}_x{Y}_{1-x}{F}_4$ using $\mu$SR
• Phase diagram of diluted Ising ferromagnet LiHo${}_x$Y${}_{1-x}$F${}_4$
• Evidence against an Almeida-Thouless line in disordered systems of Ising dipoles
• Assessment of the RE(OH)3 Ising-like Magnetic Materials as Possible Candidates for the Study of Transverse-Field-Induced Quantum Phase Transitions
• Quantum dynamics in strongly driven random dipolar magnets
• The dipolar spin glass transition in three dimensions
• Nonlinear and spin-glass susceptibilities of three site-diluted systems