Magnetic fluctuations in a finite two-dimensional model
Magnetic fluctuations in a finite two-dimensional model
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有限二维模型中的磁涨落
DOI：
10.1088/0305-4470/30/24/005
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
P. Holdsworth
中科院分区：
文献类型：
--
作者：
P. Archambault;S. Bramwell;P. Holdsworth
我们计算了有限尺寸的二维XY模型中磁化强度的二维几率。我们发现，对于任意大的N，有一个拓扑之间的差异，在低温自旋波制度和高温顺磁制度的分布。在低温阶段是一个定义良好的环函数，我们计算的上限。即便如此，这与每个自旋的磁化率是发散的是一致的。我们进一步表明，标量磁化强度的分布函数Q（M）具有一个通用的形式，标度与单变量，其中L是系统的大小和J是耦合常数。我们表明，有相当大的结构，有两个条款的顺序N，一个是由于自旋波和其他由于涡。这导致了在Kosterlitz -无反射- Berezinskii转变处的峰值。
We calculate the two-dimensional probability for the magnetization in a two-dimensional XY model of finite size. We show that, for arbitrarily large N, there is a topological difference between the distributions in the low-temperature spin wave regime and in the high-temperature paramagnetic regime. In the low-temperature phase is a well-defined ring function and we calculate an upper bound for . Even so, this is consistent with the susceptibility per spin, , being divergent. We show further that the distribution function Q(M) for the scalar magnetization has a universal form, scaling with the single variable , where L is the system size and J is the coupling constant. We show that has considerable structure, with two terms of order N, one due to the spin waves and the other due to vortices. This leads to a peak in at the Kosterlitz - Thouless - Berezinskii transition.