论文标题
在圆环上自旋-1非亚洲手性旋转液体的共鸣价键实现
Resonating valence bond realization of spin-1 non-Abelian chiral spin liquid on the torus
论文作者
论文摘要
我们建议在圆环上的自旋-1系统中谐振价键波的函数，该系统实现了非亚洲手性自旋液体。波函数采用由$ \ mathrm {so}（3）_ {1} $ wess-zumino-witten模型构建的无限尺寸矩阵乘积状态状态。这意味着它们是分数量子厅系统中引入的骨摩尔阅读状态的晶格类似物。该系统的拓扑顺序是通过明确构造三倍退化基态和模块化S和T矩阵的分析计算来揭示的。
We propose resonating valence bond wave functions for a spin-1 system on the torus that realize a non-Abelian chiral spin liquid. The wave functions take the form of infinite dimensional matrix product states constructed from conformal blocks of the $\mathrm{SO}(3)_{1}$ Wess-Zumino-Witten model. This means that they are lattice analogues of the bosonic Moore-Read state introduced in fractional quantum Hall systems. The topological order of this system is revealed by explicit construction of three-fold degenerate ground states and analytical computation of the modular S and T matrices.
