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Moiré-Modulated Valley in Twisted Bilayer and Twisted Double-Bilayer
Phys. Rev. Lett. 137, 116401 – Published 9 September, 2026
DOI: https://doi.org/10.1103/wnyd-m5sr
Abstract
Twisted hosts intriguing correlated quantum phenomena including the fractional quantum anomalous Hall effect in twisted bilayer (t-BL) near 3.7°, which is sensitive to the twist angle and moiré superlattices. Here, we directly visualize the twist-angle-modulated electronic structure of t-BL and twisted double-bilayer (t-DBL) near this critical angle. We find that the moiré superlattice not only modifies the relative energy between the and valleys in t-BL , but also strongly reconstructs the valley for both t-BL and t-DBL . Specifically, the deep -derived band at exhibits a distinct splitting that systematically varies with increasing twist angle. Theoretical analysis suggests that this modulation arises from the twist-angle-dependent lattice relaxation, especially interfacial corrugations. Our work directly visualizes the moiré-modulated electronic structure and provides key spectroscopic information of lattice relaxation and interlayer interactions underlying the physics of twisted .