Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological charge scaling at a quantum phase transition   We reexamine the Kosterlitz-Thouless phase transition in the ground state
$|\Psi_0\rangle$ of an antiferromagnetic spin-$\frac{1}{2}$ Heisenberg chain
with nearest and next-nearest-neighbor interactions $\lambda$ from a different
perspective: After defining winding number (topological charge) $W$ in the
basis of resonating valence bond states, the finite-size scaling of
$\langle\Psi_0|W| \Psi_0 \rangle$, $\langle\Psi_0|W|\partial_\lambda \Psi_0
\rangle$, $\langle\partial_\lambda\Psi_0|W|\partial_\lambda \Psi_0 \rangle$
leads to the accurate value of critical coupling $\lambda_c=0.2412\pm0.0007$
and to the value of subleading critical exponent $\nu=2.000\pm0.001$. This
approach should be useful when examining the topological phase transitions in
all systems described in the basis of resonating valence bonds.

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The categories of this paper are: gr-qc
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The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph