A constrained Potts antiferromagnet model with an interface representation
A constrained Potts antiferromagnet model with an interface representation
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具有界面表示的约束 Potts 反铁磁体模型
DOI：
10.1088/0305-4470/30/24/007
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
C. Henley
中科院分区：
文献类型：
--
作者：
J. Burton;Jr.;C. Henley
我们在方形晶格上定义了一个四态Potts模型系综，其约束条件是相邻的自旋必须有不同的值，并且没有一个斑块可以包含所有四个状态。自旋构型可以映射到2 + 5维空间中的二维界面构型。如果这个界面处于高斯粗糙相位（就像大多数其他具有这种映射的模型一样），那么自旋相关性是至关重要的，它们的指数可以与控制界面波动的刚度相关。我们的蒙特卡罗模拟结果显示高度波动与波向量的异常依赖，介于粗糙阶段和光滑阶段预期的行为之间；我们认为，平滑相位（这意味着远程自旋顺序）是最好的解释。
We define a 4-state Potts model ensemble on the square lattice, with the constraints that neighbouring spins must have different values, and that no plaquette may contain all four states. The spin configurations may be mapped into those of a two-dimensional interface in a 2 + 5 dimensional space. If this interface is in a Gaussian rough phase (as is the case for most other models with such a mapping) then the spin correlations are critical and their exponents can be related to the stiffness governing the interface fluctuations. Results of our Monte Carlo simulations show height fluctuations with an anomalous dependence on the wavevector, intermediate between the behaviours expected in a rough and in a smooth phase; we argue that the smooth phase (which would imply long-range spin order) is the best interpretation.