Completely packed O(n) loop models and their relation with exactly solved coloring models

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	Completely packed O(n) loop models and their relation with exactly solved coloring models
	Wang, YG; Guo, WN; Blote, HWJ
刊名	PHYSICAL REVIEW E
	2015
卷号	91 期号:3 页码:32123
通讯作者	Guo, WN (reprint author), Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China.
英文摘要	We investigate the completely packed O(n) loop model on the square lattice, and its generalization to an Eulerian graph model, which follows by including cubic vertices which connect the four incoming loop segments. This model includes crossing bonds as well. Our study was inspired by existing exact solutions of the so-called coloring model due to Schultz and Perk [Phys. Rev. Lett. 46, 629 (1981)], which is shown to be equivalent with our generalized loop model. We explore the physical properties and the phase diagram of this model by means of transfer-matrix calculations and finite-size scaling. The exact results, which include seven one-dimensional branches in the parameter space of our generalized loop model, are compared to our numerical results. The results for the phase behavior also extend to parts of the parameter space beyond the exactly solved subspaces. One of the exactly solved branches describes the case of nonintersecting loops and was already known to correspond with the ordering transition of the Potts model. Another exactly solved branch, describing a model with nonintersecting loops and cubic vertices, corresponds with a first-order, Ising-like phase transition for n > 2. For 1 < n < 2, this branch is interpreted in terms of a low-temperature O(n) phase with corner-cubic anisotropy. For n > 2 this branch is the locus of a first-order phase boundary between a phase with a hard-square, lattice-gas-like ordering and a phase dominated by cubic vertices. A mean-field argument explains the first-order nature of this transition.
学科主题	Physics
类目[WOS]	Physics, Fluids & Plasmas ; Physics, Mathematical
关键词[WOS]	CRITICAL-BEHAVIOR ; CONFORMAL-INVARIANCE ; SQUARE LATTICE ; POTTS-MODEL ; HONEYCOMB LATTICE ; UNIVERSALITY ; TEMPERATURE ; CHARGE
收录类别	SCI
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/21057]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Wang, YG,Guo, WN,Blote, HWJ. Completely packed O(n) loop models and their relation with exactly solved coloring models[J]. PHYSICAL REVIEW E,2015,91(3):32123.
APA	Wang, YG,Guo, WN,&Blote, HWJ.(2015).Completely packed O(n) loop models and their relation with exactly solved coloring models.PHYSICAL REVIEW E,91(3),32123.
MLA	Wang, YG,et al."Completely packed O(n) loop models and their relation with exactly solved coloring models".PHYSICAL REVIEW E 91.3(2015):32123.