Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fragility of the nematic spin liquid induced by diagonal couplings in
  the square-lattice SU(3) model   We present a large-scale density matrix renormalization group (DMRG) study of
the spin-$1$ SU(3) bilinear-biquadratic model on the square lattice, which was
suggested to host a nematic spin liquid state in recent DMRG calculations. We
report that this spin liquid appears to strongly compete with a
three-sublattice magnetic order. To further study the competition between the
two states, and the reason of the emergent nematic spin liquid, we included an
additional next-nearest-neighbor SU(3) symmetric interactions along one of the
two plaquette diagonal directions. This allows to tune the square-lattice model
to the triangular-lattice model. By computing spin correlation functions and
various order parameters, we find that the three-sublattice order may develop
at infinitesimal additional new coupling, at least within the precision of our
study. Compared with the previous findings that the nematic spin liquid is
stable in extended parameter regions with additional couplings that respect the
lattice symmetries of the square lattice, we argue that here the diagonal
couplings, which frustrate the bipartite-lattice structure, rapidly suppress
the two-sublattice fluctuations and the three-sublattice order thus wins. This
numerical result is consistent with the conjecture that the nematic spin liquid
emerges from the competition between two- and three-sublattice fluctuations.

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The categories of this paper are: solv-int
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ