Double-semion topological order from exactly solvable quantum dimer models
Double-semion topological order from exactly solvable quantum dimer models
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DOI：
10.1103/physrevb.92.155105
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发表时间：
2014-06
影响因子：
3.7
通讯作者：
Yang Qi;Z. Gu;H. Yao
中科院分区：
文献类型：
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作者：
Yang Qi;Z. Gu;H. Yao
我们在二维非二分格（包括三角格、星星格和kagome格）上构造了一个广义量子二聚体模型。在Rokhsar-Kivelson（RK）点，我们得到了它的精确基态，它是一个具有双半子拓扑序的完全带隙的量子自旋液体。这样一个模型在RK点的基态波函数是一个叠加的二聚体配置与非局部的符号结构，通过计数的数量的循环中的过渡图。我们明确地证明了双半离子拓扑秩序的基态显示单体激发的半离子统计。我们还讨论了这种双半离子共振价键态对过去几年实验和数值研究发现的候选量子自旋液体系统的可能影响。
We construct a generalized quantum dimer model on two-dimensional nonbipartite lattices including the triangular lattice, the star lattice and the kagome lattice. At the Rokhsar-Kivelson (RK) point, we obtain its exact ground states that are shown to be a fully gapped quantum spin liquid with the double-semion topological order. The ground-state wave function of such a model at the RK point is a superposition of dimer configurations with a nonlocal sign structure determined by counting the number of loops in the transition graph. We explicitly demonstrate the double-semion topological order in the ground states by showing the semionic statistics of monomer excitations. We also discuss possible implications of such double-semion resonating valence bond states to candidate quantum spin-liquid systems discovered experimentally and numerically in the past few years.