Two-Dimensional Ferroelectric Models
Two-Dimensional Ferroelectric Models
复制标题
二维铁电模型
DOI：
--
复制
发表时间：
2004
期刊：
影响因子：
--
通讯作者：
E. Lieb
中科院分区：
文献类型：
--
作者：
E. Lieb
二维铁电配置是在通常的正方形晶格的键上绘制的箭头阵列，每个键一个箭头。冰约束（I.C.）精确地说，两个箭头指向晶格每个顶点，两个箭头指向晶格的每个顶点。具有N个顶点的晶格具有2N个键，因此在没有冰约束的情况下存在Z=22N的构型。最近已经证明，1）渐近地，构型的数目由下式给出。
The two-dimensional ferroelectric configuration is an array of arrows drawn on the bonds of a usual square lattice, one arrow for each bond. The ice constraint (I.C.) is that precisely two arrows point into and two point out of each vertex of the lattice. A lattice with N vertices has 2N bonds, so that without the ice constraint there are Z=22N configurations. It has been shown recently1) that asymptotically the number of configurations is given by .