Moir\'e-modulated $\Gamma$ valley in twisted bilayer and twisted double-bilayer MoTe$_2$

Wanying Chen; Hongyun Zhang; Jinxi Lu; Yu Gu; Qiyun Xu; Fei Wang; Xuanxi Cai; Jiansong Li; Jiayong Xiao; Rui Chen; Kenji Watanabe; Takashi Taniguchi; Jose Avila; Pavel Dudin; Matthew D. Watson; Pu Yu; Shengwei Jiang; Wenhui Duan; Tingxin Li; Chong Wang; Shuyun Zhou

arXiv · 2512.16431

Moir\'e-modulated $\Gamma$ valley in twisted bilayer and twisted double-bilayer MoTe$_2$

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Abstract

Twisted MoTe$_2$ hosts intriguing correlated quantum phenomena including the fractional quantum anomalous Hall effect in twisted bilayer (t-BL) MoTe$_2$ near 3.7$^\circ$, which is sensitive to the twist angle and moir\'e 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 moir\'e superlattice not only modifies the relative energy between $\Gamma$ and K valleys in t-BL MoTe$_2$, but also strongly reconstructs the $\Gamma$ valley for both t-BL and t-DBL. Specifically, the deep $p_z$-derived band at $\Gamma$ 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 moir\'e-modulated electronic structure and provides key spectroscopic information of lattice relaxation and interlayer interactions underlying the physics of twisted MoTe$_2$.

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Wanying Chen, Hongyun Zhang, Jinxi Lu, Yu Gu, Qiyun Xu, Fei Wang, Xuanxi Cai, Jiansong Li, Jiayong Xiao, Rui Chen, Kenji Watanabe, Takashi Taniguchi, Jose Avila, Pavel Dudin, Matthew D. Watson, Pu Yu, Shengwei Jiang, Wenhui Duan, Tingxin Li, Chong Wang, Shuyun Zhou. 2025-12-18. Moir\'e-modulated $\Gamma$ valley in twisted bilayer and twisted double-bilayer MoTe$_2$. https://arxiv.org/abs/2512.16431

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