论文标题
三角形晶格上扩展哈伯德模型的竞争不稳定性：截断 - 不合同的功能重新归一化组，并应用于Moiré材料
Competing instabilities of the extended Hubbard model on the triangular lattice: Truncated-unity functional renormalization group and application to moiré materials
论文作者
论文摘要
一个简单但范式的范式模型是强烈的电子相关性和几何挫败感的相互作用的是三角晶格哈伯德模型。最近有人提出，过渡金属二核苷的Moiré结构可用于模拟包括非本地密度相互作用的扩展版本。我们研究了在这种扩展的哈伯德模型上，在填充状态的密度具有van霍夫奇异性的三角形晶格上，在这种扩展的哈伯德模型中研究了相互作用的竞争不稳定性。我们采用截短的 - 合成功能重新归一化组方法来研究两种情况：范式最小扩展的哈伯德模型和具有适用于过渡金属二分法杂质的参数的特定模型。我们揭示了丰富的相图，包括旋转密度波顺序和非常规配对的趋势，这可能会导致拓扑超导性。我们根据其不可约的表示对超导不稳定性的对称性进行了分类，并表明，当最近的邻居相互作用相当可观地表明第二名最邻居之间的成对形成时，较高的晶格谐波是主导的。现象学后果可以增强拓扑超导体中的自旋和热量子厅反应。
A simple yet paradigmatic model for the interplay of strong electronic correlations and geometric frustration is the triangular lattice Hubbard model. Recently it was proposed that moiré structures of transition metal dichalcogenides can be used to simulate extended versions that include non-local density-density interactions. We study competing instabilities of interacting electrons in such an extended Hubbard model on the triangular lattice near a filling where the density of states has a Van Hove singularity. We employ a truncated-unity functional renormalization group approach to investigate two cases: a paradigmatic minimally extended Hubbard model and a specific model with parameters that are applicable to hetero-bilayers of transition metal dichalcogenides. We unravel rich phase diagrams, including tendencies to spin-density-wave order and unconventional pairing, which can give rise to topological superconductivity. We classify the symmetry of the superconducting instabilities according to their irreducible representations and show that higher lattice harmonics are dominant when the nearest-neighbor interaction is sizable indicating pair formation between second-nearest neighbors. The phenomenological consequences can be enhanced spin and thermal quantum Hall responses in a topological superconductor.
