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Completely packed O(n) loop models and their relation with exactly solved coloring models
Wang, YG; Guo, WN; Blote, HWJ; Guo, WN (reprint author), Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China.
2015
发表期刊PHYSICAL REVIEW E
卷号91期号:3页码:32123
文章类型Article
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.
学科领域Physics
资助者NSFC (China) [11175018] ; NSFC (China) [11175018] ; Lorentz Fund ; Lorentz Fund ; NSFC (China) [11175018] ; NSFC (China) [11175018] ; Lorentz Fund ; Lorentz Fund
DOIhttp://dx.doi.org/10.1103/PhysRevE.91.032123
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
资助者NSFC (China) [11175018] ; NSFC (China) [11175018] ; Lorentz Fund ; Lorentz Fund ; NSFC (China) [11175018] ; NSFC (China) [11175018] ; Lorentz Fund ; Lorentz Fund
WOS类目Physics, Fluids & Plasmas ; Physics, Mathematical
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/21057
专题理论物理所2015年知识产出
通讯作者Guo, WN (reprint author), Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China.
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GB/T 7714
Wang, YG,Guo, WN,Blote, HWJ,et al. 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,&Guo, WN .(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.
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