Mosaic spin models with topological order

Mosaic spin models with topological order
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具有拓扑顺序的马赛克自旋模型

DOI:
10.1103/physrevb.76.180404
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发表时间:
2007-08
期刊:
影响因子:
3.7
通讯作者:
--
中科院分区:
物理与天体物理2区
文献类型:
--
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为了实现拓扑有序,我们研究了一类镶嵌结构晶格中具有Kitaev型耦合的二维自旋模型。通过将它们归结为一些具有规范对称性的自由Majorana费米子模型,我们证明了它们是精确可解的。详细研究了4-8-8紧密堆积的典型情况,显示了含有阿贝尔任意子和非阿贝尔任意子的量子相。通过其谱的边模揭示了其以Chern数为特征的拓扑性质。
We study a class of two-dimensional spin models with the Kitaev-type couplings in mosaic structure lattices to implement topological orders. We show that they are exactly solvable by reducing them to some free Majorana fermion models with gauge symmetries. The typical case with a 4-8-8 close packing is investigated in detail to display the quantum phases with Abelian and non-Abelian anyons. Its topological properties characterized by Chern numbers are revealed through the edge modes of its spectrum.
DOI: 10.1093/acprof:oso/9780199227259.001.0001
发表时间: 2004-08
期刊: Thermal Science
影响因子: 1.7
作者:
X. Wen
通讯作者: X. Wen
DOI: 10.1063/1.2155760
发表时间: 2005-11
期刊: Physics Today
影响因子: 3.5
作者:
M. Fisher
通讯作者: M. Fisher