Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emergent magnetic behaviour in the frustrated Yb$_3$Ga$_5$O$_{12}$
  garnet   We report neutron scattering, magnetic susceptibility and Monte Carlo
theoretical analysis to verify the short range nature of the magnetic structure
and spin-spin correlations in a Yb$_3$Ga$_5$O$_{12}$ single crystal. The
quantum spin state of Yb$^{3+}$ in Yb$_3$Ga$_5$O$_{12}$ is verified. The
quantum spins organise into a short ranged emergent director state for T $<$
0.4 K derived from anisotropy and near neighbour exchange. We derive the
magnitude of the near neighbour exchange interactions $0.6\; {\rm K} < J_1 <
0.7\; {\rm K}, J_2 = 0.12$~K and the magnitude of the dipolar exchange
interaction, $D$, in the range $0.18 < D < 0.21$ K. Certain aspects of the
broad experimental dataset can be modelled using a $J_1D$ model with
ferromagnetic near neighbour spin-spin correlations while other aspects of the
data can be accurately reproduced using a $J_1J_2D$ model with
antiferromagnetic near neighbour spin-spin correlation. As such, although we do
not quantify all the relevant exchange interactions we nevertheless provide a
strong basis for the understanding of the complex Hamiltonian required to fully
describe the magnetic state of Yb$_3$Ga$_5$O$_{12}$.

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The categories of this paper are: q-bio
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
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The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: comp-gas