The Minimal LM(3,4) Lattice Model and the Two-Dimensional Ising Model with Cylindrical Boundary Conditions

被引：0
作者：
A. A. Belavin
R. A. Usmanov
机构：
[1] Landau Institute of Theoretical Physics,
[2] RAS,undefined
来源：
Theoretical and Mathematical Physics | 2001年 / 126卷
关键词：
Boundary Condition; Open Boundary; Lattice Model; Ising Model; Quantum Group;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider an integrable XXZ model with some special open boundary conditions and one-dimensional Ising quantum chains with four different boundary conditions. We show that each of the Ising chains coincides with the minimal LM(3,4) lattice model resulting from the quantum group reduction of the XXZ model and the number of nodes in the former model is determined by the type of boundary conditions. The relation between the two-dimensional Ising model with four different types of boundary conditions and the LM(3,4) model is established.
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页码：48 / 65
页数：17
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