Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tensor network calculation of the logarithmic correction exponent in the
  XY model   We study the logarithmic correction to the scaling of the first Lee-Yang (LY)
zero in the classical $XY$ model on square lattices by using tensor
renormalization group methods. In comparing the higher-order tensor
renormalization group (HOTRG) and the loop-optimized tensor network
renormalization (LoopTNR), we find that the entanglement filtering in LoopTNR
is crucial to gaining high accuracy for the characterization of the logarithmic
correction, while HOTRG still proposes empirical bounds associated with the
different bond-merging algorithms. Using the LoopTNR data computed up to the
system size of $L=1024$ in the $L \times L$ lattices, we estimate the
logarithmic correction exponent $r = -0.0643(9)$ from the extrapolation of the
finite-size-evaluated effective exponent, which is comparable to the
renormalization group prediction of $r = -1/16$.

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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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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: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga