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Related papers: Generic continuum model formalism for moir\'e supe…

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Moir\'e superlattices have emerged as a versatile platform for exploring a wide range of ex- otic quantum phenomena. Unlike angstrom-scale materials, the moir\'e length-scale system contains a large number of atoms, and its electronic…

Materials Science · Physics 2025-11-10 Xueheng Kuang , Federico Escudero , Pierre A. Pantaleón , Francisco Guinea , Zhen Zhan

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

Moir\'e superlattices in the twisted bilayer graphene provide an unprecedented platform to investigate a wide range of exotic quantum phenomena. Recently, the twist degree of freedom has been introduced into various classical wave systems,…

Mesoscale and Nanoscale Physics · Physics 2021-12-01 Weixuan Zhang , Deyuan Zou , Qingsong Pei , Wenjing He , Houjun Sun , Xiangdong Zhang

Moir\'e superlattices in two-dimensional materials provide a versatile platform to explore strongly correlated and topological phases. This work presents a practical theoretical workflow for studying the correlated and topological states in…

Strongly Correlated Electrons · Physics 2025-12-09 Xin Lu , Bo Xie , Jianpeng Liu

Moir\'e superlattices provide a compelling platform for exploring exotic correlated physics. Electronic interference within these systems often results in flat bands with localized electrons, which are typically described by effective…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Xianliang Zhou , Yifan Gao , Laiyuan Su , Z. F. Wang , Li Huang , Angel Rubio , Zhiwen Shi , Lede Xian

Moir\'e-superlattices are ubiquitous in 2D heterostructures, strongly influencing their electronic properties. They give rise to new Dirac cones and are also at the origin of the superconductivity observed in magic-angle bilayer graphene.…

Mesoscale and Nanoscale Physics · Physics 2020-01-31 Márton Szendrő , Péter Süle , Gergely Dobrik , Levente Tapasztó

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 propose a continuum model for the theoretical study of hybridized moir\'e excitons in transition metal dichalcogenides heterobilayers, and we use a variational method to solve the exciton wavefunction and calculate the optical absorption…

Mesoscale and Nanoscale Physics · Physics 2023-10-23 Yao-Wen Chang

Introduction of a twist between layers of two-dimensional materials which leads to the formation of a moir\'e pattern is an emerging pathway to tune the electronic, vibrational and optical properties. The fascinating properties of these…

Materials Science · Physics 2022-01-05 Saismit Naik , Mit H. Naik , Indrajit Maity , Manish Jain

Two-dimensional multi-layer materials with an induced moir\'e pattern, either due to strain or relative twist between layers, provide a versatile platform for exploring strongly correlated and topological electronic phenomena. While these…

Strongly Correlated Electrons · Physics 2025-05-27 Mohammed M. Al Ezzi , Albert Zhu , Daniel Bennett , Daniel T. Larson , Efthimios Kaxiras

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 moir\'e superlattices formed by stacking 2D semiconducting transition metal dichalcogenides (TMDs) with twisting angle or lattice mismatch have provided a versatile platform with unprecedented tunability for exploring many frontier…

Mesoscale and Nanoscale Physics · Physics 2025-08-07 Dawei Zhai , Hongyi Yu , Wang Yao

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

Engineering moir\'e superlattices in van der Waals heterostructures provides fundamental control over emergent electronic, structural, and optical properties allowing to affect topological and correlated phenomena. This control is achieved…

Mesoscale and Nanoscale Physics · Physics 2025-07-22 Dongdong An , Tao Zhang , Qiaoling Xu , Hailing Guo , Majeed Ur Rehman , Dante M. Kennes , Angel Rubio , Lei Wang , Lede Xian

Moire superlattices formed by stacking atomically thin two-dimensional materials with a relative twist angle have emerged as a versatile platform for engineering quantum electronic, optical, and ferroic properties. Computational modelling…

Materials Science · Physics 2026-05-08 Anikeya Aditya , Sampad Mohanty

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

The study of twisted two-dimensional (2D) materials, where twisting layers create moir\'e superlattices, has opened new opportunities for investigating topological phases and strongly correlated physics. While systems such as twisted…

Large-scale moir\'e systems are extraordinarily sensitive, with even minute atomic shifts leading to significant changes in electronic structures. Here, we investigate the lattice relaxation effect on moir\'e band structures in twisted…

Strongly Correlated Electrons · Physics 2024-08-15 Ning Mao , Cheng Xu , Jiangxu Li , Ting Bao , Peitao Liu , Yong Xu , Claudia Felser , Liang Fu , Yang Zhang

Moire superlattices are twisted bilayer materials, in which the tunable interlayer quantum confinement offers access to new physics and novel device functionalities. Previously, moire superlattices were built exclusively using materials…

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