论文标题

蜂窝状晶格上的手性骨拓扑绝缘子,具有各向异性相互作用

Chiral Bosonic Topological Insulator on the Honeycomb Lattice with Anisotropic Interactions

论文作者

Ghosh, Amrita, Grosfeld, Eytan

论文摘要

我们在各向异性邻近的排斥性相互作用的存在下研究蜂窝晶格上的硬核玻色子。使用量子蒙特卡洛(QMC)技术,我们根据填充和各向异性提取模型的相图。在半填充时,我们在最大各向异性附近找到一个二聚体绝缘体相,其特征是有限的拓扑纠缠熵$ \ ln(2)/2 $,表明玻色子的分数量子厅状态。我们确定边缘状态的存在,并得出一种基于QMC的方法来提取和验证其手性。值得注意的是,此阶段是在没有磁通量的情况下出现的,没有明确的晶格挫败感。

We study hard-core bosons on the honeycomb lattice in the presence of anisotropic nearest-neighbor repulsive interactions. Using a quantum Monte Carlo (QMC) technique, we extract the phase diagram of the model in terms of the filling and the anisotropy. At half-filling we find a dimer insulator phase near maximum anisotropy that is characterized by a finite topological entanglement entropy $\ln(2)/2$, indicative of a fractional quantum Hall state for bosons. We identify the presence of edge states and derive a QMC-based method to extract and verify their chirality. Remarkably, this phase arises in the absence of magnetic flux and without explicit lattice frustration.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源