Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bond order wave instabilities in doped frustrated antiferromagnets:
  "Valence bond solids" at fractional filling   We explore both analytically and numerically the properties of doped t-J
models on a class of highly frustrated lattices, such as the kagome and the
pyrochlore lattice. Focussing on a particular sign of the hopping integral and
antiferromagnetic exchange, we find a generic symmetry breaking instability
towards a twofold degenerate ground state at a fractional filling below half
filling. These states show modulated bond strengths and only break lattice
symmetries. They can be seen as a generalization of the well-known valence bond
solid states to fractional filling.

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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
2
The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga