Lattice Model for Fermionic Toric Code
Lattice Model for Fermionic Toric Code
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DOI：
10.1103/physrevb.90.085140
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发表时间：
2013-09
影响因子：
3.7
通讯作者：
Z. Gu;Zhenghan Wang;X. Wen
中科院分区：
文献类型：
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作者：
Z. Gu;Zhenghan Wang;X. Wen
Z_2自旋液体中的Z_2拓扑序和精确可溶的Kitaev Toric码模型中的Z_2拓扑序是2+1D玻色子系统最简单的拓扑序。更一般的2+1维玻色子拓扑有序态可以通过精确的可溶弦网模型来构造。然而，物质中最重要的拓扑有序相可以说是费米子分数量子霍尔态。费米子系统的物质的拓扑相比玻色子系统的物质拓扑相要丰富得多，因为局域性对于这两种系统具有不同的意义。在这篇文章中，我们描述了一个简单的费米子版本的Toric码模型，以说明费米子精确可解模型和费米子拓扑有序态的许多显著特征。
The Z_2 topological order in Z_2 spin liquid and in exactly soluble Kitaev toric code model is the simplest topological order for 2+1D bosonic systems. More general 2+1D bosonic topologically ordered states can be constructed via exact soluble string-net models. However, the most important topologically ordered phases of matter are arguably the fermionic fractional quantum Hall states. Topological phases of matter for fermion systems are strictly richer than their bosonic counterparts because locality has different meanings for the two kinds of systems. In this paper, we describe a simple fermionic version of the toric code model to illustrate many salient features of fermionic exactly soluble models and fermionic topologically ordered states.