Topological basis realization for BMW algebra and Heisenberg XXZ spin chain model

被引：0
|
作者：
Liu, Bo [1 ]
Xue, Kang [1 ]
Wang, Gangcheng [1 ]
Liu, Ying [1 ]
Sun, Chunfang [1 ]
机构：
[1] NE Normal Univ, Sch Phys, Changchun 130024, Peoples R China
来源：
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2015年 / 13卷 / 03期
关键词：
Birman-Murakami-Wenzl algebra; topological basis; Heisenberg XXZ model; knot theory; DELTA-FUNCTION INTERACTION; YANG-BAXTER EQUATION; BODY PROBLEM; BRAID GROUP; QUANTUM; BAXTERIZATION; REPRESENTATION; MATRIX;
D O I：
10.1142/S0219749915500173
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we study three-dimensional (3D) reduced Birman-Murakami-Wenzl (BMW) algebra based on topological basis theory. Several examples of BMW algebra representations are reviewed. We also discuss a special solution of BMW algebra, which can be used to construct Heisenberg XXZ model. The theory of topological basis provides a useful method to solve quantum spin chain models. It is also shown that the ground state of XXZ spin chain is superposition state of topological basis.
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页数：8
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