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Moir\'e superlattices in two-dimensional (2D) materials exhibit rich quantum phenomena, but ab initio modelling of these systems remains computationally prohibitive. Existing machine learning methods for accelerating density-functional…

材料科学 · 物理学 2026-02-11 Zekun Lou , Alan M. Lewis , Mariana Rossi

We introduce a complete physical model for the single-particle electronic structure of twisted bilayer graphene (tBLG), which incorporates the crucial role of lattice relaxation. Our model, based on $k \cdot p$ perturbation theory, combines…

介观与纳米尺度物理 · 物理学 2019-08-14 Stephen Carr , Shiang Fang , Ziyan Zhu , Efthimios Kaxiras

We theoretically study the lattice relaxation in the twisted bilayer graphene (TBG) and its effect on the electronic band structure. We develop an effective continuum theory to describe the lattice relaxation in general TBGs and obtain the…

材料科学 · 物理学 2017-09-06 Nguyen N. T. Nam , Mikito Koshino

Moir\'e superlattices in twisted bilayers enable profound reconstructions of the electronic bandstructure, giving rise to correlated states with remarkable tunability. Extending this paradigm to van der Waals magnets, twisting creates…

Twisted magnetic van der Waals (vdW) materials offer a promising route for multiferroic engineering, yet modeling large-scale moir\'e superlattices remains challenging. Leveraging a newly developed SpinGNN++ framework that effectively…

材料科学 · 物理学 2025-07-24 Haiyan Zhu , Hongyu Yu , Weiqin Zhu , Guoliang Yu , Changsong Xu , Hongjun Xiang

We develop an analytical theory for lattice relaxation in twisted moir\'e heterobilayers, accounting for lattice mismatch, twist, external biaxial heterostrain, and different elastic constants. Starting from continuum elasticity, we derive…

介观与纳米尺度物理 · 物理学 2026-05-19 Christophe De Beule , Yiyang Lai , Liangtao Peng , Daniel Bennett , Shaffique Adam

Encapsulation protects functional layers, ensuring structural stability and improving the quality of assembled van der Waals heterostructures. Here, we develop a model that describes lattice relaxation in twisted bilayers accounting for…

介观与纳米尺度物理 · 物理学 2026-02-09 V. V. Enaldiev

It has recently been shown that quantum-confined states can appear in epitaxially grown van der Waals material heterobilayers without a rotational misalignment ($\theta=0^\circ$), associated with flat bands in the Brillouin zone of the…

To have a fully ab initio description of the Moir\'e pattern in a transition metal dichalcogenide heterobilayer, we have carried out density functional theory calculations, taking accounts of both atomic registry in and the lattice…

材料科学 · 物理学 2020-02-03 W. T. Geng , V. Wang , Y. C. Liu , T. Ohno , J. Nara

Motivated by recent experimental observations of opposite Chern numbers in $R$-type twisted MoTe$_2$ and WSe$_2$ homobilayers, we perform large-scale density-functional-theory (DFT) calculations with machine learning force fields to…

材料科学 · 物理学 2024-05-21 Xiao-Wei Zhang , Chong Wang , Xiaoyu Liu , Yueyao Fan , Ting Cao , Di Xiao

We investigate the effect of thermal fluctuations on the atomic and electronic structure of a twisted MoSe$_{2}$/WSe$_{2}$ heterobilayer using a combination of classical molecular dynamics and \textit{ab-initio} density functional theory…

材料科学 · 物理学 2023-06-28 Indrajit Maity , Arash A. Mostofi , Johannes C. Lischner

The relaxation of moir\'e superlattices in twisted bilayers of transition metal dichalcogenides (TMDs) has been modeled using a set of neural-network-based approaches. We implemented and compared several architectures, including (i) an…

无序系统与神经网络 · 物理学 2025-09-17 Aleksei V. Belonovskii , Elizaveta I. Girshova , Erkki Lähderanta , Mikhail Kaliteevski

Staking layered materials revealed to be a very powerful method to tailor their electronic properties. It has indeed been theoretically and experimentally shown that twisted bilayers of graphene (tBLG) with a rotation angle $\theta$,…

介观与纳米尺度物理 · 物理学 2020-07-01 Omid Faizy Namarvar , Ahmed Missaoui , Laurence Magaud , Didier Mayou , Guy Trambly de Laissardière

We explore the flatness of conduction and valence bands of interlayer excitons in MoS$_2$/WSe$_2$ van der Waals heterobilayers, tuned by interlayer twist angle, pressure, and external electric field. We employ an efficient continuum model…

介观与纳米尺度物理 · 物理学 2023-11-20 Sara Conti , Andrey Chaves , Tribhuwan Pandey , Lucian Covaci , François M. Peeters , David Neilson , Milorad V. Milošević

Moir\'e superlattices in twisted van der Waals materials constitute a promising platform for engineering electronic and optical properties. However, a major obstacle to fully understanding these systems and harnessing their potential is the…

Twisted van der Waals bilayers provide an ideal platform to study the electron correlation in solids. Of particular interest is the 30 degree twisted bilayer honeycomb lattice system, which possesses an incommensurate moire pattern and…

材料科学 · 物理学 2021-03-02 Yu-Hao Shen , Wen-Yi Tong , He Hu , Jun-Ding Zheng , Chun-Gang Duan

In this work, we present a theoretical research on the lattice relaxations, phonon properties, and relaxed electronic structures in magic-angle twisted bilayer graphene (TBG). We construct a continuum elastic model in order to study the…

介观与纳米尺度物理 · 物理学 2024-01-30 Bo Xie , Jianpeng Liu

Lattice reconstruction in twisted transition-metal dichalcogenide (TMD) bilayers gives rise to piezo- and ferroelectric moir\'e potentials for electrons and holes, as well as a modulation of the hybridisation across the bilayer. Here, we…

介观与纳米尺度物理 · 物理学 2021-09-30 S. J. Magorrian , V. V. Enaldiev , V. Zólyomi , Fábio Ferreira , Vladimir I. Fal'ko , David A. Ruiz-Tijerina

A real-space method using generating integers is used to classify the possible moire patterns for two equal hexagonal lattices. The result is that the rotations that take (n,m) to (m,n) with n,m relatively prime form the fundamental moire…

计算物理 · 物理学 2022-11-29 Matthew Ciesler , Damien West , Shengbai Zhang

Moir\'e patterns are known to confine electronic states in transition metal dichalcogenide bilayers, thus generalizing the notion of magic angles discovered in twisted bilayer graphene to semiconductors. Here, we present a revised…

介观与纳米尺度物理 · 物理学 2020-08-12 Somepalli Venkateswarlu , Andreas Honecker , Guy Trambly de Laissardière