Bond algebras and exact solvability of Hamiltonians: Spin S=1/2 multilayer systems

被引：81

作者：

Nussinov, Zohar ^{[1
]}

Ortiz, Gerardo ^{[2
]}

机构：

[1] Washington Univ, Dept Phys, St Louis, MO 63160 USA

[2] Indiana Univ, Dept Phys, Bloomington, IN 47405 USA

来源：

PHYSICAL REVIEW B | 2009年 / 79卷 / 21期

关键词：

QUANTUM; ANYONS; ORDER;

D O I：

10.1103/PhysRevB.79.214440

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present an algebraic methodology for designing exactly solvable Lie model Hamiltonians. The idea consists in looking at the algebra generated by bond operators. We illustrate how this method can be applied to solve numerous problems of current interest in the context of topological quantum order. These include Kitaev's well-known toric code and honeycomb models as well as new models: a vector-exchange model and a Clifford gamma model in a triangular lattice.

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页数：12

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