Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Trimerized ground state of the spin-1 Heisenberg antiferromagnet on the
  kagome lattice   We study the phase diagram of the spin-1 quantum bilinear-biquadratic
antiferromagnet on the kagome lattice using exact diagonalization and the
density matrix renormalization group algorithm. The SU(3)-symmetric point of
this model Hamiltonian is a spontaneously trimerized state whose qualitative
nature persists even at the Heisenberg point, a finding that contrasts previous
proposals. We report the ground state energy per site of the Heisenberg model
to be -1.410(2) and establish the presence of a spin gap.

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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
2
The categories of this paper are: math
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th