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二聚体模型中的边界单体。

Boundary monomers in the dimer model.

作者信息

Priezzhev Vyatcheslav B, Ruelle Philippe

机构信息

Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Jun;77(6 Pt 1):061126. doi: 10.1103/PhysRevE.77.061126. Epub 2008 Jun 19.

DOI:10.1103/PhysRevE.77.061126
PMID:18643236
Abstract

The correlation functions of an arbitrary number of boundary monomers in a system of close-packed dimers on a square lattice are computed exactly in the scaling limit. The equivalence of the 2n -point correlation functions with those of a complex free fermion is proved, thereby reinforcing the description of the monomer-dimer model by a conformal free-field theory with central charge c=1 .

摘要

在正方晶格上紧密堆积二聚体系统中,任意数量边界单体的关联函数在标度极限下被精确计算。证明了2n点关联函数与复自由费米子的关联函数等价,从而强化了用中心荷c = 1的共形自由场理论对单体 - 二聚体模型的描述。

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