High-accuracy estimates of the critical parameters for the XY model on the square and the triangular lattices using the high-temperature expansions

Butera P; Pernici M

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High-accuracy estimates of the critical parameters for the XY model on the square and the triangular lattices using the high-temperature expansions

机译：使用高温扩展对XY模型在正方形和三角形晶格上的关键参数进行高精度估计

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The high-temperature expansions of the spin-spin correlation function of the two-dimensional classical XY (planar rotator) model are extended by two terms, from order 24 through order 26, in the case of the square lattice, and by five terms, from order 15 through order 20, in the case of the triangular lattice. The data are analyzed to improve the current estimates of the critical parameters of the models. We determine beta(c) = 0.5599(7) and sigma = 0.499(5) in the case of the square lattice. For the triangular lattice case, we estimate beta(c) = 0.3412(4) and sigma = 0.500(5). (C) 2008 Elsevier B.V. All rights reserved.

机译：二维经典XY（平面旋转器）模型的自旋-自旋相关函数的高温扩展在方格的情况下从24阶到26阶扩展了两个项，在直角格子的情况下又扩展了五个项，如果是三角形格子，则从15阶到20阶。分析数据以改善模型的关键参数的当前估计。对于方晶格，我们确定beta（c）= 0.5599（7）和sigma = 0.499（5）。对于三角晶格情况，我们估计beta（c）= 0.3412（4）和sigma = 0.500（5）。（C）2008 Elsevier B.V.保留所有权利。

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《Physica, A. Statistical mechanics and its applications》 |2008年第25期|共6页
作者
Butera P; Pernici M;
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正文语种 eng
中图分类分子物理学、原子物理学;
关键词
XY model; planar rotator model; N-vector model; high-temperature expansions; THOULESS PHASE-TRANSITION; PLANAR ROTATOR MODEL; RENORMALIZATION; SERIES;

机译：XY模型;平面转子模型;N矢量模型;高温膨胀;无相变;平面旋转模型;归一化;系列;

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High-accuracy estimates of the critical parameters for the XY model on the square and the triangular lattices using the high-temperature expansions

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