二分六角点阵五态Potts反铁磁体的phase diagram
The phase diagram for the bisected-hexagonal-lattice five-state Potts antiferromagnet
摘要：
本文研究了五态Potts反铁磁体在二分六角晶格上的相图。这个问题很重要，因为德尔菲诺和塔尔塔利亚最近表明，在五态波茨反铁磁体中，二级跃迁是允许的，而平分六角晶格在数值上已经成为这种跃迁的候选者。通过高精度的蒙特卡罗模拟和两种互补的分析方法，我们得出了存在一个有限温度的一级相变点的结论。这一个分离顺磁性高温相，和低温相，其中五个相共存。这种相变是非常弱的意义上说，它的潜热（每边）是两个数量级小于其他众所周知的弱一阶相变。
英文摘要：
In this paper we study the phase diagram of the five-state Potts antiferromagnet on the bisected-hexagonal lattice. This question is important since Delfino and Tartaglia recently showed that a second-order transition in a five-state Potts antiferromagnet is allowed, and the bisected-hexagonal lattice had emerged as a candidate for such a transition on numerical grounds. By using high-precision Monte Carlo simulations and two complementary analysis methods, we conclude that there is a finite-temperature first-order transition point. This one separates a paramagnetic high-temperature phase, and a low-temperature phase where five phases coexist. This phase transition is very weak in the sense that its latent heat (per edge) is two orders of magnitude smaller than that of other well-known weak first-order phase transitions.
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