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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…

It is now well established theoretically and experimentally that a moir\'e pattern, due to a rotation of two atomic layers with respect to each other, creates low-energy flat bands. First discovered in twisted bilayer graphene, these new…

Mesoscale and Nanoscale Physics · Physics 2023-07-13 Somepalli Venkateswarlu , Ahmed Misssaoui , Andreas Honecker , Guy Trambly de Laissardière

We investigate the moir\'e band structures and the strong correlation effects in twisted bilayer MoTe$_2$ for a wide range of twist angles, employing a combination of various techniques. Using large-scale first principles calculations, we…

Strongly Correlated Electrons · Physics 2024-03-04 Cheng Xu , Jiangxu Li , Yong Xu , Zhen Bi , Yang Zhang

By virtue of being atomically thin, the electronic properties of heterostructures built from two-dimensional materials are strongly influenced by atomic relaxation. The atomic layers behave as flexible membranes rather than rigid crystals.…

Strongly Correlated Electrons · Physics 2025-01-07 Mohammed M. Al Ezzi , Gayani N. Pallewela , Christophe De Beule , E. J. Mele , Shaffique Adam

Atomically thin moir\'e materials behave like elastic membranes where at very small twist angles, the van der Waals adhesion energy much exceeds the strain energy. In this ``marginal twist" regime, regions with low adhesion energy expand,…

Mesoscale and Nanoscale Physics · Physics 2025-03-26 Christophe De Beule , Gayani N. Pallewela , Mohammed M. Al Ezzi , Liangtao Peng , E. J. Mele , Shaffique Adam

Twisted graphene bilayers show a complex electronic structure, further modified by interaction effects. The main features can be obtained from effective models, which make use a few phenomenological parameters. We analyze the influence of…

Strongly Correlated Electrons · Physics 2019-03-04 Niels R. Walet , Francisco Guinea

We develop a twist-angle transferable continuum model for twisted transition metal dichalcogenide (tTMD) homobilayers, using tMoTe2 and tWSe2 as examples. All model parameters are extracted from density functional theory (DFT) calculations…

Materials Science · Physics 2025-08-26 Xiao-Wei Zhang , Kaijie Yang , Chong Wang , Xiaoyu Liu , Ting Cao , Di Xiao

Lattice relaxation profoundly reshapes electronic structures in twisted materials. Prevailing treatments, however, typically rely on large-scale density functional theory (DFT), which is computationally costly and mechanistically opaque.…

Materials Science · Physics 2025-09-17 Junxi Yu , Bingbing Wang , Cheng-Cheng Liu

An important step in understanding the exotic electronic, vibrational, and optical properties of the moir\'{e} lattices is the inclusion of the effects of structural relaxation of the un-relaxed moir\'{e} lattices. Here, we propose novel…

Materials Science · Physics 2021-03-10 Indrajit Maity , Prabal K. Maiti , H. R. Krishnamurthy , Manish Jain

We introduce a generalizable, physics informed strategy for generating training data that enables a machine learning force field accurate over a broad range of twist angles and stacking layer numbers in moire systems. Applying this to…

Materials Science · Physics 2025-11-26 Yueyao Fan , Xiao-Wei Zhang , Yusen Ye , Xiaoyu Liu , Chong Wang , Kaijie Yang , Di Xiao , Ting Cao

Lattice reconstruction and corresponding strain accumulation play a key role in defining the electronic structure of two-dimensional moir\'e superlattices, including those of transition metal dichalcogenides (TMDs). Imaging of TMD moir\'es…

When two-dimensional van der Waals materials are stacked to build heterostructures, moir\'e patterns emerge from twisted interfaces or from mismatch in lattice constant of individual layers. Relaxation of the atomic positions is a direct,…

Mesoscale and Nanoscale Physics · Physics 2023-03-15 Dorri Halbertal , Lennart Klebl , Valerie Hsieh , Jacob Cook , Stephen Carr , Guang Bian , Cory Dean , Dante M. Kennes , Dmitri. N. Basov

The moir\'e superlattice system provides an excellent platform for exploring various novel quantum phenomena. To theoretically tackle the diverse correlated and topological states emerging from moir\'e superlattices, one usually adopts an…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Bo Xie , Jianqi Huang , Jianpeng Liu

We construct an analytic continuum model to describe the electronic structure and the electron-phonon interaction in twisted bilayer graphenes with arbitrary lattice deformation. Starting from the tight-binding model, we derive the…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Mikito Koshino , Nguyen N. T. Nam

We develop a comprehensive method to construct analytical continuum models for moir\'e systems directly from first-principle calculations without any parameter fitting. The core idea of this method is to interpret the terms in the continuum…

Mesoscale and Nanoscale Physics · Physics 2024-11-14 Yan Zhang , Hanqi Pi , Jiaxuan Liu , Wangqian Miao , Ziyue Qi , Nicolas Regnault , Hongming Weng , Xi Dai , B. Andrei Bernevig , Quansheng Wu , Jiabin Yu

The electric structure of twisted bilayer GeSe, which shows a rectangular moir\'{e} pattern, is analyzed using a $\bm{k}\cdot\bm{p}$ type effective continuum model. The effective model is constructed on the basis of the the local…

Mesoscale and Nanoscale Physics · Physics 2021-09-29 Manato Fujimoto , Toshikaze Kariyado

We develop a low-energy continuum model for phonons in twisted moir\'e bilayers, based on a configuration-space approach. In this approach, interatomic force constants are obtained from density functional theory (DFT) calculations of…

Mesoscale and Nanoscale Physics · Physics 2023-05-12 Jonathan Z. Lu , Ziyan Zhu , Mattia Angeli , Daniel T. Larson , Efthimios Kaxiras

Layered two-dimensional (2D) materials exhibit unique properties, expanding opportunities in material design. We investigate MX$_2$ transition metal dichalcogenides (TMDCs) (M = Mo, W; X = S, Se, Te) in homo- and heterobilayers with…

Materials Science · Physics 2025-03-13 Yu-Hsiu Lin , William P. Comaskey , Jose L. Mendoza-Cortes

Twisted multilayers of two-dimensional (2D) materials are an increasingly important platform for investigating quantum phases of matter, and in particular, strongly correlated electrons. The moir\'e pattern introduced by the relative twist…

Materials Science · Physics 2023-01-11 Mattia Angeli , Gabriel R. Schleder , Efthimios Kaxiras

We develop a continuum dislocation description of twist and stretch moire superlattices in 2D material bilayers. The continuum formulation is based on the topological constraints introduced by the periodic dislocation network associated…

Materials Science · Physics 2020-11-18 Emil Annevelink , Harley Johnson , Elif Ertekin
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