Absence of topological degeneracy in the Hubbard model on honeycomb lattice

Absence of topological degeneracy in the Hubbard model on honeycomb lattice
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蜂窝晶格上哈伯德模型不存在拓扑简并性

DOI:
10.1209/0295-5075/93/37007
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发表时间:
2011-02-01
期刊:
EPL
影响因子:
1.8
通讯作者:
Li, Tao
Li, Tao
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Li, Tao

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结果表明,蜂窝晶格上哈伯德模型基态的独特符号结构,当系统定义在环面上时,对捕获的 Z(2) 规范通量不敏感,可能导致该二分系统不存在拓扑简并性。给出了蜂窝晶格上变分莫特绝缘态的例子,说明了基态符号结构与拓扑简并性(不存在)之间的密切关系。版权所有 (C) EPLA,2011
It is shown that the unique sign structure of the ground state of the Hubbard model on honeycomb lattice, which is shown to be insensitive to the trapped Z(2) gauge flux when the system is defined on a torus, may cause the absence of topological degeneracy on this bipartite system. Examples of variational Mott insulating state on the honeycomb lattice are given to illustrate the close relation between the sign structure of the ground state and the (absence of) topological degeneracy. Copyright (C) EPLA, 2011