论文标题
量子三聚体模型和拓扑SU（3）kagome晶格上的自旋液体
Quantum trimer models and topological SU(3) spin liquids on the kagome lattice
论文作者
论文摘要
我们在Kagome晶格上构建和研究量子三聚体模型和共鸣SU（3） - 串singlet模型，该模型将量子二聚体模型和共鸣键波概括为trimer和SU（3）设置。我们证明，这些模型具有Z_3对称性，该对称性源自三聚体的结构和SU（3）表示理论，并且成为重新归一化的唯一对称性。基于此，我们为模型构建了简单而准确的汉密尔顿人，该模型表现出拓扑9倍堕落的地面空间。分析推理和数值分析的结合表明，该模型最终显示的量子顺序取决于分配给不同类型的三聚体的相对权重 - 它可以显示Z_3拓扑顺序或形成对称性破裂的三聚体晶体，另外具有增强的U（1）对称性和关键行为的点。相应地，我们的结果适用于SU（3）模型，其中三聚体重量的两个自然选择会产生拓扑自旋液体或具有对称性秩序的系统。因此，我们的工作证明了谐振三聚体和su（3）singlet ansatzes对SU（3）拓扑晶格上的拓扑旋转液体的适用性。
We construct and study quantum trimer models and resonating SU(3)-singlet models on the kagome lattice, which generalize quantum dimer models and the Resonating Valence Bond wavefunctions to a trimer and SU(3) setting. We demonstrate that these models carry a Z_3 symmetry which originates in the structure of trimers and the SU(3) representation theory, and which becomes the only symmetry under renormalization. Based on this, we construct simple and exact parent Hamiltonians for the model which exhibit a topological 9-fold degenerate ground space. A combination of analytical reasoning and numerical analysis reveals that the quantum order ultimately displayed by the model depends on the relative weight assigned to different types of trimers -- it can display either Z_3 topological order or form a symmetry-broken trimer crystal, and in addition possesses a point with an enhanced U(1) symmetry and critical behavior. Our results accordingly hold for the SU(3) model, where the two natural choices for trimer weights give rise to either a topological spin liquid or a system with symmetry-broken order, respectively. Our work thus demonstrates the suitability of resonating trimer and SU(3)-singlet ansatzes to model SU(3) topological spin liquids on the kagome lattice.
