One-Dimensional Electronic States in a Moiré Superlattice of Twisted Bilayer WTe2

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Main Authors: Kawakami, Takuto, Tateish, Hayato, Yoshida, Daiki, Yang, Xiaohan, Nakatsuji, Naoto, Chen, Limi, Aso, Kohei, Yamada-Takamura, Yukiko, Oshima, Yoshifumi, Zhang, Yijin, Machida, Tomoki, Kato, Koichiro, Koshino, Mikito
Format: Preprint
Published: 2026
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author Kawakami, Takuto
Tateish, Hayato
Yoshida, Daiki
Yang, Xiaohan
Nakatsuji, Naoto
Chen, Limi
Aso, Kohei
Yamada-Takamura, Yukiko
Oshima, Yoshifumi
Zhang, Yijin
Machida, Tomoki
Kato, Koichiro
Koshino, Mikito
author_facet Kawakami, Takuto
Tateish, Hayato
Yoshida, Daiki
Yang, Xiaohan
Nakatsuji, Naoto
Chen, Limi
Aso, Kohei
Yamada-Takamura, Yukiko
Oshima, Yoshifumi
Zhang, Yijin
Machida, Tomoki
Kato, Koichiro
Koshino, Mikito
contents One-dimensional (1D) moiré superlattices provide a new route to engineering reduced-dimensional electronic states in van der Waals materials, yet their electronic structure and microscopic origin remain largely unexplored. Here, we investigate the structural relaxation and electronic properties of a 1D moiré superlattice formed in twisted bilayer 1T$'$-WTe$_2$ using density functional theory calculations, complemented by high-angle annular dark-field scanning transmission electron microscopy. We show that lattice relaxation strongly reconstructs the moiré stripes, leading to stacking-dependent stripe widths that are in excellent agreement with experimental observations. The relaxed structure hosts quasi-one-dimensional electronic bands near the Fermi level, characterized by strong dispersion along the stripe direction and nearly flat dispersion in the perpendicular direction. By comparing the full bilayer with isolated relaxed layers, we establish that these 1D electronic states are governed predominantly by an intralayer moiré potential induced by in-plane lattice relaxation, rather than by interlayer hybridization. We extract this position-dependent moiré potential directly from DFT calculations and construct an effective tight-binding model that reproduces both the band dispersion and the real-space localization of the electronic wave functions. Our results identify lattice relaxation as the key mechanism underlying 1D electronic states in 1D moiré superlattices. %and establish twisted bilayer WTe$_2$ as a promising platform for exploring emergent one-dimensional moiré physics. The framework developed here provides a unified theoretical basis for realizing and exploring one-dimensional moiré physics in a broad class of anisotropic two-dimensional materials.
format Preprint
id arxiv_https___arxiv_org_abs_2601_21228
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle One-Dimensional Electronic States in a Moiré Superlattice of Twisted Bilayer WTe2
Kawakami, Takuto
Tateish, Hayato
Yoshida, Daiki
Yang, Xiaohan
Nakatsuji, Naoto
Chen, Limi
Aso, Kohei
Yamada-Takamura, Yukiko
Oshima, Yoshifumi
Zhang, Yijin
Machida, Tomoki
Kato, Koichiro
Koshino, Mikito
Mesoscale and Nanoscale Physics
Materials Science
One-dimensional (1D) moiré superlattices provide a new route to engineering reduced-dimensional electronic states in van der Waals materials, yet their electronic structure and microscopic origin remain largely unexplored. Here, we investigate the structural relaxation and electronic properties of a 1D moiré superlattice formed in twisted bilayer 1T$'$-WTe$_2$ using density functional theory calculations, complemented by high-angle annular dark-field scanning transmission electron microscopy. We show that lattice relaxation strongly reconstructs the moiré stripes, leading to stacking-dependent stripe widths that are in excellent agreement with experimental observations. The relaxed structure hosts quasi-one-dimensional electronic bands near the Fermi level, characterized by strong dispersion along the stripe direction and nearly flat dispersion in the perpendicular direction. By comparing the full bilayer with isolated relaxed layers, we establish that these 1D electronic states are governed predominantly by an intralayer moiré potential induced by in-plane lattice relaxation, rather than by interlayer hybridization. We extract this position-dependent moiré potential directly from DFT calculations and construct an effective tight-binding model that reproduces both the band dispersion and the real-space localization of the electronic wave functions. Our results identify lattice relaxation as the key mechanism underlying 1D electronic states in 1D moiré superlattices. %and establish twisted bilayer WTe$_2$ as a promising platform for exploring emergent one-dimensional moiré physics. The framework developed here provides a unified theoretical basis for realizing and exploring one-dimensional moiré physics in a broad class of anisotropic two-dimensional materials.
title One-Dimensional Electronic States in a Moiré Superlattice of Twisted Bilayer WTe2
topic Mesoscale and Nanoscale Physics
Materials Science
url https://arxiv.org/abs/2601.21228