论文标题
三角晶格SU（$ n $）Mott绝缘子的拓扑性手性旋转液体和竞争状态
Topological chiral spin liquids and competing states in triangular lattice SU($N$) Mott insulators
论文作者
论文摘要
已经提出了SU（$ n $）Mott绝缘子和/或在固态材料和光学晶格上使用超低原子实现。我们研究了三角晶格上的二维SU（$ n $）抗铁磁铁。从SU（$ n $）的Heisenberg模型开始，每个站点都以$ n $限制为基本的代表，我们执行一个自一致的计算，并找到了包括Valence群集状态在内的各种基础状态，条纹序列状态，具有双重的单位电池和拓扑性手性旋转液体。当口味$ n $小于6时，系统有利于簇或有序的基态。这表明，增加了风味的数量会增强量子波动，并最终将聚类的基态转移到拓扑性手性旋转液体中。这种手性旋转液体基态具有等效的方格SU（$ n $）磁铁。我们进一步确定代表另一种不同类型的手性自旋液态的相应最低竞争状态。我们在讨论相关系统和实验探针的讨论中结束。
SU($N$) Mott insulators have been proposed and/or realized in solid-state materials and with ultracold atoms on optical lattices. We study the two-dimensional SU($N$) antiferromagnets on the triangular lattice. Starting from an SU($N$) Heisenberg model with the fundamental representation on each site in the large-$N$ limit, we perform a self-consistent calculation and find a variety of ground states including the valence cluster states, stripe ordered states with a doubled unit-cell and topological chiral spin liquids. The system favors a cluster or ordered ground state when the number of flavors $N$ is less than 6. It is shown that, increasing the number of flavors enhances quantum fluctuations and eventually transfer the clusterized ground states into a topological chiral spin liquids. This chiral spin liquid ground state has an equivalent for the square lattice SU($N$) magnets. We further identify the corresponding lowest competing states that represent another distinct type of chiral spin liquid states. We conclude with a discussion about the relevant systems and the experimental probes.
