论文标题
kagome晶格上的Hubbard模型，具有时间倒转不变的通量和自旋轨道耦合
Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
论文作者
论文摘要
我们使用数值和分析方法在Kagome晶格上研究了时间反向不变的通量和旋转轨道耦合以及位置依赖的现场能量的哈伯德模型。特别是，我们使用真实空间动态平均场理论（R-DMFT）进行计算。为了研究系统的拓扑特性，我们使用拓扑哈密顿方法。我们获得了丰富的相图：对于弱和中间的相互作用，根据模型参数，系统在频带绝缘体，拓扑绝缘体或金属相中，而对于强相互作用，系统位于Mott绝缘体阶段。我们还研究了该系统中发生的磁相。为此，除R-DMFT外，我们还使用两种分析方法：用于大型相互作用和现场能量的扰动理论以及随机平均场理论。
We study the Hubbard model with time-reversal invariant flux and spin-orbit coupling and position-dependent onsite energies on the kagome lattice, using numerical and analytical methods. In particular, we perform calculations using real space dynamical mean-field theory (R-DMFT). To study the topological properties of the system, we use the topological Hamiltonian approach. We obtain a rich phase diagram: for weak and intermediate interactions, depending on the model parameters, the system is in the band insulator, topological insulator, or metallic phase, while for strong interactions the system is in the Mott insulator phase. We also investigate the magnetic phases that occur in this system. For this purpose, in addition to R-DMFT, we also use two analytical methods: perturbation theory for large interactions and onsite energies, and stochastic mean-field theory.
