Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-perturbative linked-cluster expansions for the trimerized ground
  state of the spin-one Kagome Heisenberg model   We use non-perturbative linked-cluster expansions to determine the
ground-state energy per site of the spin-one Heisenberg model on the kagome
lattice. To this end, a parameter is introduced allowing to interpolate between
a fully trimerized state and the isotropic model. The ground-state energy per
site of the full graph decomposition up to graphs of six triangles (18 spins)
displays a complex behaviour as a function of this parameter close to the
isotropic model which we attribute to divergencies of partial series in the
graph expansion of quasi-1d unfrustrated chain graphs. More concretely, these
divergencies can be traced back to a quantum critical point of the
one-dimensional unfrustrated chain of coupled triangles. Interestingly, the
reorganization of the non-perturbative linked-cluster expansion in terms of
clusters with enhanced symmetry yields a ground-state energy per site of the
isotropic two-dimensional model being in quantitative agreement with other
numerical approaches in favor of a spontaneous trimerization of the system. Our
findings are of general importance for any non-perturbative linked-cluster
expansion on geometrically frustrated systems.

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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: math
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con