Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Assessment of the RE(OH)3 Ising-like Magnetic Materials as Possible
  Candidates for the Study of Transverse-Field-Induced Quantum Phase
  Transitions   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.

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The categories of this paper are: eess
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The categories of this paper are: math
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con