Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical analysis of two-dimensional classical XY model   We consider the two-dimensional classical XY model on a square lattice in the
thermodynamic limit using tensor renormalization group and precisely determine
the critical temperature corresponding to the Berezinskii-Kosterlitz-Thouless
(BKT) phase transition to be 0.89290(5) which is an improvement compared to
earlier studies using tensor network methods.

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The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: nlin
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys