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One-dimensional (1D) moir\'e 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…

The stacking order and twist angle provide abundant opportunities for engineering band structures of two-dimensional materials, including the formation of moire bands, flat bands, and topologically nontrivial bands. The inversion symmetry…

Moir\'e structures in van der Waals heterostructures lead to emergent phenomena including superconductivity in twisted bilayer graphene and optically accessible strongly-correlated electron states in transition metal dichalcogenide…

Mesoscale and Nanoscale Physics · Physics 2020-09-17 Liam P. McDonnell , Jacob J. S. Viner , Pasqual Rivera , Antonio Cammarata , Huseyin S. Sen , Xiaodong Xu , David C. Smith

Moir\'e superlattices of van der Waals heterostructures provide a powerful new way to engineer the electronic structures of two-dimensional (2D) materials. Many novel quantum phenomena have emerged in different moir\'e heterostructures,…

The supermoir\'e lattice, arising from the interference of multiple moir\'e patterns, dramatically reshapes the electronic band structure by introducing new minibands and modifying band dispersion. Concurrently, strong electronic…

Strongly Correlated Electrons · Physics 2026-03-11 Zekang Zhou , Cheng Shen , Kryštof Kolář , Kenji Watanabe , Takashi Taniguchi , Cyprian Lewandowski , Mitali Banerjee

Moir\'e superlattices based on two-dimensional transition metal dichalcogenides (TMDs) have emerged as a highly versatile and fruitful platform for exploring correlated topological electronic phases. One of the most remarkable examples is…

Mesoscale and Nanoscale Physics · Physics 2024-10-02 Ming Xie , Mohammad Hafezi , Sankar Das Sarma

Interlayer excitons (IXs), composed of electron and hole states localized in different layers, excel in bilayers composed of atomically thin van der Waals materials such as semiconducting transition metal dichalcogenides (TMDs) due to…

Mesoscale and Nanoscale Physics · Physics 2024-07-16 Mauro Brotons-Gisbert , Brian D. Gerardot , Alexander W. Holleitner , Ursula Wurstbauer

Flat bands in moir\'e superlattices provide a fertile ground for correlated and topological phases, governed by their quantum geometric properties. While the valley-based paradigm captures key features in select materials, it breaks down in…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Xiaoting Zhou , Yi-Chun Hung , Arun Bansil

Twisted van der Waals heterostructures have recently been proposed as a condensed-matter platform for realizing controllable quantum models due to the low-energy moir\'e bands with specific charge distributions in moir\'e superlattices.…

We study the electronic structure and correlated phases of twisted bilayers of platinum diselenide using large-scale ab initio simulations combined with the functional renormalization group. PtSe$_2$ is a group-X transition metal…

Strongly Correlated Electrons · Physics 2022-01-27 Lennart Klebl , Qiaoling Xu , Ammon Fischer , Lede Xian , Martin Claassen , Angel Rubio , Dante M. Kennes

Twisted multilayer transition metal dichalcogenides (TMDs) are a promising platform for realizing topological exciton phases. Here we propose that twisted TMD heterotrilayers WX$_2$/MX$_2$/WX$_2$ with layer symmetry represents a realistic…

Mesoscale and Nanoscale Physics · Physics 2025-04-15 Ze-Hong Guo , Tao Yan , Jin-Zhu Zhao , Yuan-Jun Jin , Qizhong Zhu

Moir\'e superlattices of transitional metal dichalcogenides exhibit strong electron-electron interaction that has led to experimental observations of Mott insulators and generalized Wigner crystals. In this letter, we report direct…

Bilayer transition metal dichalcogenides (TMDs) belong to a class of materials with two unique features, the coupled spin-valley-layer degrees of freedom and the crystal structure that is globally centrosymmetric but locally…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Chao-Xing Liu

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.…

A major theoretical challenge of studying twisted transition metal dichalcogenide (TMD) bilayers is that the unit cell of such structures is very large and therefore difficult to address using first-principles methods. However, twisted TMD…

Materials Science · Physics 2019-09-13 Madeleine Phillips , C. Stephen Hellberg

The tunability of the interlayer coupling by twisting one layer with respect to another layer of two-dimensional materials provides a unique way to manipulate the phonons and related properties. We refer to this engineering of phononic…

Materials Science · Physics 2020-03-25 Indrajit Maity , Mit H. Naik , Prabal K Maiti , H. R. Krishnamurthy , Manish Jain

Two-dimensional (2D) moire systems based on twisted bilayer graphene and transition metal dichalcogenides provide a promising platform to investigate emergent phenomena driven by strong electron-electron interactions in partially-filled…

Materials Science · Physics 2023-11-28 Ya-Ning Ren , Hui-Ying Ren , Kenji Watanabe , Takashi Taniguchi , Lin He

Moir\'e heterostructures provide a powerful framework for tailoring electronic band structures via controlled long-range periodic superlattice potentials. Beyond widely studied moir\'e-tailored flat bands, folded band structures can host…

Strongly Correlated Electrons · Physics 2026-04-29 R. Ganser , M. P. T. Masilamani , B. Geldiyev , M. M. Hirschmann , A. Consiglio , J. Schusser , D. Di Sante , M. Ünzelmann , F. Reinert

Van der Waals heterostructures of two-dimensional transition metal dichalcogenides provide a unique platform to engineer optoelectronic devices tuning their optical properties via stacking, twisting, or straining. Using ab initio Many-Body…

Mesoscale and Nanoscale Physics · Physics 2025-03-21 R. Reho , A. R. Botello-Méndez , D. Sangalli , M. J. Verstraete , Zeila Zanolli

The low symmetry and anistropic lattice of 1T$'$ WTe$_2$ is responsible for the existence of parallel one-dimensional channels in the moir\'e patterns of twisted bilayers. This gives the opportunity to explore moir\'e physics of a different…

Materials Science · Physics 2024-07-11 Samuel J. Magorrian , Nicholas D. M. Hine
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