Heilmann-Lieb液晶模型的团簇展开方法
A cluster expansion approach to the Heilmann-Lieb liquid crystal model
摘要:
本文研究了在$\mathbb{Z}^2$格点上具有短程吸引作用的有利于共线二聚体的单体-二聚体模型。虽然我们选择的化学势导致更多的水平比垂直的二聚体,水平的二聚体没有长程translational秩序-与海尔曼-利布猜想。
英文摘要:
A monomer-dimer model with a short-range attractive interaction favoring colinear dimers is considered on the lattice $\mathbb{Z}^2$. Although our choice of the chemical potentials results in more horizontal than vertical dimers, the horizontal dimers have no long-range traslational order - in agreement with the Heilmann-Lieb conjecture.
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