The interplay between moiré flat bands originating from different valleys can give rise to a variety of exotic quantum phases. In this work, we investigate the electronic properties of twisted mono-bilayer (A-AB) and mono-trilayer (A-ABA) ${\mathrm{MoTe}}_2$ using first-principles calculations and continuum models. Unlike previous studies on twisted bilayer systems, in which low-energy flat bands originate solely from the $K/K^{\prime }$ valleys, in A-AB and A-ABA twisted ${\mathrm{MoTe}}_2$ ($t{\mathrm{MoTe}}_2$) the moiré bands at low energies arise from both the $\mathrm{\Gamma }$ and $K/K^{\prime }$ valleys, with spin Chern numbers $C_s=0$ (for $\mathrm{\Gamma }$) and $C_{\uparrow /\downarrow }=\pm 1$ (for $K/K^{\prime }$), respectively. We show that the multivalley moiré flat bands are governed by interlayer hybridization effects, and that different stacking configurations and thicknesses tune the relative energy alignment between the $\mathrm{\Gamma }$ and $K$ valley moiré flat bands. By constructing valley-resolved continuum models and performing Wannierization for the low-energy moiré bands, we further uncover that the Berry curvature and quantum metric distributions can be effectively tuned by the layer number and stacking configuration. Unlike other moiré systems, where only one kind of valley influences the low-energy physics, the simultaneous appearance of two distinct types of valleys with different symmetries establishes A-AB and A-ABA $t{\mathrm{MoTe}}_2$ as ideal platforms for studying layer-controlled multivalley physics.

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• Electronic structure
• Twistronics
• Valley degrees of freedom
• Multilayer thin films
• Twisted heterostructures
• Density functional calculations
• Wannier function methods