Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Significance of the Hyperfine Interactions in the Phase Diagram of ${\rm
  LiHo_xY_{1-x}F_4}$   We consider the quantum magnet $\rm LiHo_xY_{1-x}F_4$ at $x = 0.167$.
Experimentally the spin glass to paramagnet transition in this system was
studied as a function of the transverse magnetic field and temperature, showing
peculiar features: for example (i) the spin glass order is destroyed much
faster by thermal fluctuations than by the transverse field; and (ii) the cusp
in the nonlinear susceptibility signaling the glass state {\it decreases} in
size at lower temperature. Here we show that the hyperfine interactions of the
Ho atom must dominate in this system, and that along with the transverse
inter-Ho dipolar interactions they dictate the structure of the phase diagram.
The experimental observations are shown to be natural consequences of this.

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The categories of this paper are: math
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: hep-ph