Salas Jesús
Departamento de Matemáticas, Escuela Politécnica Superior, Universidad Carlos III de Madrid, 28911 Leganés, Spain and Grupo de Teorías de Campos y Física Estadística, Associate Unit Instituto Gregorio Millán (UC3M)-Instituto de Estructura de la Materia (CSIC), Madrid, Spain.
Phys Rev E. 2020 Sep;102(3-1):032124. doi: 10.1103/PhysRevE.102.032124.
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.
在本文中，我们研究了二分六边形晶格上五态Potts反铁磁体的相图。这个问题很重要，因为德尔菲诺和塔尔塔利亚最近表明，五态Potts反铁磁体中允许发生二级相变，并且基于数值理由，二分六边形晶格已成为这种相变的一个候选晶格。通过使用高精度蒙特卡罗模拟和两种互补的分析方法，我们得出存在一个有限温度的一级相变点。这个点将顺磁高温相和一个低温相分开，在低温相中五个相共存。从其潜热（每条边）比其他著名的弱一级相变的潜热小两个数量级的意义上来说，这个相变非常弱。
