Recently, the twist angle between adjacent sheets of stacked van der Waals materials emerged as a new knob to engineer correlated states of matter in two-dimensional heterostructures in a controlled manner, giving rise to emergent phenomena such as superconductivity or correlated insulating states. Here, we use an ab initio based approach to characterize the electronic properties of twisted bilayer MoS₂. We report that, in marked contrast to twisted bilayer graphene, slightly hole-doped MoS₂ realizes a strongly asymmetric p_x-p_y Hubbard model on the honeycomb lattice, with two almost entirely dispersionless bands emerging due to destructive interference. The origin of these dispersionless bands, is similar to that of the flat bands in the prototypical Lieb or Kagome lattices and co-exists with the general band flattening at small twist angle due to the moiré interference. We study the collective behavior of twisted bilayer MoS₂ in the presence of interactions, and characterize an array of different magnetic and orbitally-ordered correlated phases, which may be susceptible to quantum fluctuations giving rise to exotic, purely quantum, states of matter.

最近，堆叠范德华材料的相邻片材之间的扭曲角作为一种新的旋钮出现，可以以受控方式设计二维异质结构中的相关物质状态，从而产生诸如超导性或相关绝缘状态之类的新兴现象。在这里，我们使用基于 ab initio 的方法来表征扭曲双层 MoS ₂的电子特性。我们报告说，与扭曲的双层石墨烯形成鲜明对比的是，轻微空穴掺杂的 MoS ₂实现了强烈的不对称 p _x -p _y蜂窝晶格上的哈伯德模型，由于相消干涉，出现了两个几乎完全无色散的带。这些无色散带的起源类似于原型 Lieb 或 Kagome 晶格中平坦带的起源，并且与由于莫尔干涉而以小扭曲角变平的一般带共存。我们研究了存在相互作用的扭曲双层 MoS ₂的集体行为，并表征了一系列不同的磁性和轨道有序相关相，这些相可能容易受到量子涨落的影响，从而产生奇异的、纯量子的物质状态。