SU.2/=Z2 symmetry of the BKT transition and twisted boundary condition

SU.2/=Z2 symmetry of the BKT transition and twisted boundary condition
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SU.2/=Z2 BKT 转变的对称性和扭曲边界条件

DOI:
10.1088/0305-4470/31/36/008
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发表时间:
1997
期刊:
Journal of Physics A
影响因子:
--
通讯作者:
A. Kitazawa
A. Kitazawa
中科院分区:
--
文献类型:
--
作者:
K. Nomura;A. Kitazawa

文献摘要

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Berezinskii-Kosterlitz-Thouless(BKT)相变是二维Sine-Gordon模型的相变,在低维物理中起着重要作用。利用扭曲边界条件,我们将BKT跃迁的算符内容与SU(2)Wess-Zumino-Witten模型的算符内容联系起来。用这种方法,为了k-1确定BKT临界点,我们可以用下激励的能级交叉代替周期边界情况下的能级交叉,从而大大提高了收敛到过渡点的速度。通过对S=1,2自旋链的计算,验证了该方法的有效性。
The Berezinskii-Kosterlitz-Thouless (BKT) transition, the transition of the two-dimensional sine-Gordon model, plays an important role in low-dimensional physics. We relate the operator content of the BKT transition to that of the SU(2) Wess-Zumino-Witten model, using twisted boundary conditions. With this method, in order k - 1 to determine the BKT critical point, we can use the level crossing of the lower excitations instead of those for the periodic boundary case, thus the convergence to the transition point is highly improved. We verify the efficiency of this method by applying it to the S = 1, 2 spin chains.