Phase diagram of diluted Ising ferromagnet LiHo${}_x$Y${}_{1-x}$F${}_4$

Abstract

We present a systematic study of the phase diagram of LiHo${}_x$Y${}_{1-x}$F${}_4$ ($0.25<x<1$) Ising ferromagnets obtained from neutron scattering measurements and mean-field calculations. We show that while the thermal phase transition decreases linearly with dilution, as predicted by mean-field theory, the critical transverse field at the quantum critical point is suppressed much faster. This behavior is related to competition between off-diagonal dipolar coupling and quantum fluctuations that are tuned by doping and applied field, respectively. In this paper, we quantify the deviation of the experimental results from mean-field predictions, with the aim that this analysis can be used in future theoretical efforts towards a quantitative description.

arXiv comment9 pages, 9 figures

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Cited by in corpus (6)

• Spiral order from orientationally correlated random bonds in classical XY models
• LiHoF4 as a spin-half non-standard quantum Ising system
• Quantum Monte Carlo study of the bond- and site-diluted transverse-field Ising model
• The Effect of Intrinsic Quantum Fluctuations on the Phase Diagram of Anisotropic Dipolar Magnets
• Off-Diagonal dipolar interactions in the mixed Ising--XY magnet $LiH{o}_{x}E{r}_{1-x}{F}_4$
• Nuclear magnetic resonance studies in a model transverse field Ising system