Anyonic loops in three-dimensional spin liquid and chiral spin liquid
Anyonic loops in three-dimensional spin liquid and chiral spin liquid
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DOI：
10.1016/j.nuclphysb.2008.06.009
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发表时间：
2007-12
期刊：
影响因子：
--
通讯作者：
Tieyan Si;Yue Yu
中科院分区：
文献类型：
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作者：
Tieyan Si;Yue Yu
通过引入Kitaev型自旋耦合，我们在三维螺旋晶格上建立了一大类完全可溶的自旋液体和手征自旋液体。在手征自旋液体中，发现了时间反演对称性自发破缺的精确稳定基态，自旋液体和手征自旋液体中的分数圈激发都服从非阿贝尔统计。我们用非阿贝尔Berry相和量子代数关系来刻画这种统计量。环的拓扑关联与局域序参量无关，它可以度量简并基态的内在整体量子纠缠。
We established a large class of exactly soluble spin liquids and chiral spin liquids on three-dimensional helix lattices by introducing Kitaev-type's spin coupling. In the chiral spin liquids, exact stable ground states with spontaneous breaking of the time reversal symmetry are found. The fractionalized loop excitations in both the spin and chiral spin liquids obey non-Abelian statistics. We characterize this kind of statistics by non-Abelian Berry phase and quantum algebra relation. The topological correlation of loops is independent of local order parameter and it measures the intrinsic global quantum entanglement of degenerate ground states.