Finite-size investigation of scaling corrections in the square-lattice three-state Potts antiferromagnet.
Finite-size investigation of scaling corrections in the square-lattice three-state Potts antiferromagnet.
复制标题
方晶格三态 Potts 反铁磁体中标度校正的有限尺寸研究。
DOI：
10.1103/physreve.65.056104
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发表时间：
2002
影响因子：
2.4
通讯作者：
S. D. Queiroz
中科院分区：
文献类型：
--
作者：
S. D. Queiroz
我们研究了三态正方晶格Potts反铁磁体在T=0临界点附近标度的有限温度修正。在宽度为L的半无限条上的传递矩阵的数值对角化，4无限。由于所研究的量的特点，我们认为，考虑的自然变量是x等同于L e（-2 β）。对于外推缩放的差距，我们表明，平方根校正，在变量x，存在，并提供估计的第一和第二阶校正项的振幅的数值，为第一和第二缩放的差距。我们还计算了在T=0时传输矩阵谱的第三个标度间隙，并找到了相关衰减指数的外推值，eta（3）=2.00（1）。这与早期的预测不一致，即问题中的第三个相关算子将给出eta（P（stagg））=3，对应于交错极化。
We investigate the finite-temperature corrections to scaling in the three-state square-lattice Potts antiferromagnet, close to the critical point at T=0. Numerical diagonalization of the transfer matrix on semi-infinite strips of width L sites, 4 infinity. Owing to the characteristics of the quantities under study, we argue that the natural variable to consider is x identical with L e(-2 beta). For the extrapolated scaled gaps we show that square-root corrections, in the variable x, are present, and provide estimates for the numerical values of the amplitudes of the first- and second-order correction terms, for both the first and second scaled gaps. We also calculate the third scaled gap of the transfer matrix spectrum at T=0, and find an extrapolated value of the decay-of-correlations exponent, eta(3)=2.00(1). This is at odds with earlier predictions, to the effect that the third relevant operator in the problem would give eta(P(stagg))=3, corresponding to the staggered polarization.