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.

中文翻译：

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二等分六边形晶格五态Potts反铁磁体的相图

在本文中，我们研究了二等分六边形晶格上五态Potts反铁磁体的相图。这个问题很重要，因为Delfino和Tartaglia最近证明了五态Potts反铁磁体中的二阶跃迁是允许的，并且二等分六边形晶格已成为基于数值理由进行此类跃迁的候选者。通过使用高精度蒙特卡洛模拟和两种互补分析方法，我们得出结论，存在一个有限温度的一阶转变点。这将顺磁高温相和低温相分离，其中五个相共存。从其潜热（每个边缘）比其他众所周知的弱一阶相变小两个数量级的意义上讲，该相变非常弱。