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具有竞争相互作用的堆叠三角晶格上的海森堡模型中潜热的层间相互作用依赖性。

Interlayer-interaction dependence of latent heat in the Heisenberg model on a stacked triangular lattice with competing interactions.

作者信息

Tamura Ryo, Tanaka Shu

机构信息

International Center for Young Scientists, National Institute for Materials Science, 1-2-1 Sengen, Tsukuba-shi, Ibaraki 305-0047, Japan.

Department of Chemistry, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Nov;88(5):052138. doi: 10.1103/PhysRevE.88.052138. Epub 2013 Nov 26.

Abstract

We study the phase transition behavior of a frustrated Heisenberg model on a stacked triangular lattice by Monte Carlo simulations. The model has three types of interactions: the ferromagnetic nearest-neighbor interaction J(1) and antiferromagnetic third nearest-neighbor interaction J(3) in each triangular layer and the ferromagnetic interlayer interaction J([perpendicular]). Frustration comes from the intralayer interactions J(1) and J(3). We focus on the case that the order parameter space is SO(3)×C(3). We find that the model exhibits a first-order phase transition with breaking of the SO(3) and C(3) symmetries at finite temperature. We also discover that the transition temperature increases but the latent heat decreases as J([perpendicular])/J(1) increases, which is opposite to the behavior observed in typical unfrustrated three-dimensional systems.

摘要

我们通过蒙特卡罗模拟研究了堆叠三角晶格上受挫海森堡模型的相变行为。该模型具有三种相互作用:每个三角层内的铁磁最近邻相互作用J(1)和反铁磁第三最近邻相互作用J(3),以及铁磁层间相互作用J([垂直])。受挫源于层内相互作用J(1)和J(3)。我们关注序参量空间为SO(3)×C(3)的情况。我们发现该模型在有限温度下表现出具有SO(3)和C(3)对称性破缺的一级相变。我们还发现,随着J([垂直])/J(1)的增加,转变温度升高但潜热降低,这与典型的无受挫三维系统中观察到的行为相反。

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