We present a comprehensive dynamical mean field study of the triangular lattice moiré Hubbard model, which is believed to represent the physics of moiré bilayer transition metal dichalcogenides. In these materials, important aspects of the band structure including the bandwidth and the order and location of van Hove singularities can be tuned by varying the interlayer potential. We present a magnetic and metal-insulator phase diagram and a detailed study of the dependence of the resistivity on temperature, band filling, and interlayer potential. We find that transport displays Fermi liquid, strange metal, and quantum critical behaviors in distinct regions of the phase diagram. Specifically, we find that the cube-root van Hove singularity [$\rho (\epsilon )\sim |\epsilon {|}^{-1/3}$] gives a strange metal behavior with a $T$-linear scattering rate and $\omega /T$ scaling. We show how magnetic order affects the resistivity. Our results elucidate the physics of the correlated states and the metal-insulator continuous transition recently observed in twisted homobilayer ${\mathrm{WSe}}_2$ and heterobilayer ${\mathrm{MoTe}}_2/{\text{WSe}}_2$ experiments.

中文翻译：

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莫尔双层过渡金属二硫化物的动态平均场理论：相图、电阻率和量子临界性

我们对三角晶格莫尔 Hubbard 模型进行了全面的动态平均场研究，该模型被认为代表了莫尔双层过渡金属二硫化物的物理特性。在这些材料中，能带结构的重要方面，包括带宽以及范霍夫奇点的顺序和位置，可以通过改变层间电位来调整。我们提出了磁性和金属绝缘体相图，并详细研究了电阻率对温度、带填充和层间电位的依赖性。我们发现传输在相图的不同区域显示费米液体、奇异金属和量子临界行为。具体来说，我们发现立方根 van Hove 奇点 [$\rho (\epsilon )～|\epsilon {|}^{-1/3}$] 给出了一种奇怪的金属行为$吨$-线性散射率和$\omega /吨$缩放。我们展示了磁序如何影响电阻率。我们的结果阐明了最近在扭曲的同质双层中观察到的相关态和金属绝缘体连续跃迁的物理学${\mathrm{WSe}}_2$和异双层${\mathrm{钼碲}}_2/{\text{WSe}}_2$实验。