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arXiv 0912.2830cond-mat.stat-mech
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广义$q$ -态时钟模型中的真和准长程序

True and quasi long-range order in the generalized $q$-state clock model

Seung Ki Baek, Petter Minnhagen, Beom Jun Kim

摘要:

从序参量分布的角度出发,提出了一种区分二维广义$q$ -态时钟模型中真序和准长程序的观测量。通过对$q=8$的蒙特卡罗模拟测量这个量,我们构建了一个相图,并确定了真正的长程序,准长程序和无序之间的相分离线的关键属性。我们的结果支持了理论预言,即当两条相分离线合并时,会出现不连续的有序-无序转变。

英文摘要:

From consideration of the order-parameter distribution, we propose an observable which makes a clear distinction between true and quasi long-range orders in the two-dimensional generalized $q$-state clock model. Measuring this quantity by Monte Carlo simulations for $q=8$, we construct a phase diagram and identify critical properties across the phase-separation lines among the true long-range order, quasi long-range order, and disorder. Our result supports the theoretical prediction that there appears a discontinuous order-disorder transition as soon as the two phase-separation lines merge.

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