Assessment of the RE(OH)3 Ising-like Magnetic Materials as Possible Candidates for the Study of Transverse-Field-Induced Quantum Phase Transitions

Abstract

The LiHo${}_x$Y${}_{1-x}$F${}_4$ Ising magnetic material subject to a magnetic field, $B_x$, perpendicular to the Ho${}^{3+}$ Ising direction has shown over the past twenty years to be a host of very interesting thermodynamic and magnetic phenomena. Unfortunately, the availability of other magnetic materials other than LiHo${}_x$Y${}_{1-x}$F${}_4$ that may be described by a transverse field Ising model remains very much limited. It is in this context that we use here mean-field theory to investigate the suitability of the Ho(OH)${}_3$, Dy(OH)${}_3$ and Tb(OH)${}_3$ insulating hexagonal dipolar Ising-like ferromagnets for the study of the quantum phase transition induced by a magnetic field, $B_x$, applied perpendicular to the Ising spin direction. From our calculations we estimate the critical transverse field, $B_x^c$, to destroy ferromagnetic order at zero temperature to be $B_x^c=$4.35 T, $B_x^c=$5.03 T and $B_x^c=$54.81 T for Ho(OH)${}_3$, Dy(OH)${}_3$ and Tb(OH)${}_3$, respectively. We conclude from our calculations that Ho(OH)${}_3$ and Dy(OH)${}_3$, and their Y${}^{3+}$ diamagnetically diluted variants, Ho${}_x$Y${}_{1-x}$(OH)${}_3$ and Dy${}_x$Y${}_{1-x}$(OH)${}_3$, are potentially interesting systems to study transverse-field induced quantum fluctuations effects in hard axis (Ising-like) magnetic materials.

17 pages, 10 figures

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Cited by in corpus (1)

• Nature of quantum criticality in the Ising ferromagnet TbV${}_6$Sn${}_6$