Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reinvestigation of the homogeneous spin model in YbMgGaO$_4$   Motivated by a recent inelastic neutron scattering experiment on
$\mathrm{YbMgGaO}_4$ \cite{William2019}, we reinvestigate the homogeneous spin
model on the triangular lattice. Using the cluster mean-field theory, we study
the phase diagram and the magnetic-field-induced phase transition. We find that
the phase boundary between the stripe state and the $120^{\circ}$
antiferromagnetic state is broadened by the magnetic field, leading to a
field-induced phase transition. This phase transition is suppressed by the
next-nearest neighbor exchange interaction $J_2/J_1$ and vanishes as
$J_2/J_1>0.13$. We find a parameter space at $J_2/J_1=0.1$, in which the
field-induce transition can be achieved and the deviation of theoretical spin
excitation energies from experimental data is only $5.4\%$. Our results imply
that an effective homogeneous spin model still works in $\mathrm{YbMgGaO}_4$.

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The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol