Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Microscopic theory of the nearest-neighbor valence bond sector of the
  spin-1/2 kagome antiferromagnet   The spin-1/2 Heisenberg model on the kagome lattice, which is closely
realized in layered Mott insulators such as ZnCu$_3$(OH)$_6$Cl$_2$, is one of
the oldest and most enigmatic spin-1/2 lattice model. While the numerical
evidence has accumulated in favor of a quantum spin liquid, the debate is still
open as to whether it is a $Z_2$ spin liquid with very short-range correlations
(some kind of Resonating Valence Bond spin liquid), or an algebraic spin-liquid
with power-law correlations. To address this issue, we have pushed the program
started by Rokhsar and Kivelson in their derivation of the effective quantum
dimer model description of Heisenberg models to unprecedented accuracy for the
spin-1/2 kagome, by including all the most important virtual singlet
contributions on top of the orthogonalization of the nearest-neighbor valence
bond singlet basis. Quite remarkably, the resulting picture is a competition
between a $Z_2$ spin liquid and a diamond valence bond crystal with a 12-site
unit cell, as in the DMRG simulations of Yan, Huse and White. Furthermore, we
found that, on cylinders of finite diameter $d$, there is a transition between
the $Z_2$ spin liquid at small $d$ and the diamond valence bond crystal at
large $d$, the prediction of the present microscopic description for the 2D
lattice. These results show that, if the ground state of the spin-1/2 kagome
antiferromagnet can be described by nearest-neighbor singlet dimers, it is a
diamond valence bond crystal, and, a contrario, that, if the system is a
quantum spin liquid, it has to involve long-range singlets, consistent with the
algebraic spin liquid scenario.

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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga