Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Boson-Hubbard Model on a Kagome Lattice with Sextic Ring-Exchange
  Terms   High order ring-exchange interactions are crucial for the study of quantum
fluctuations on highly frustrated systems. We present the first exact quantum
Monte Carlo study of a model of hard-core bosons with sixth order ring-exchange
interactions on a two-dimensional kagome lattice. By using the Stochastic Green
Function algorithm, we show that the system becomes unstable in the limit of
large ring-exchange interactions. It undergoes a phase separation at all
fillings, except at 1/3 and 2/3 fillings for which the superfluid density
vanishes and an unusual mixed valence bond and charge density ordered solid is
formed.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: econ
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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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: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin