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Large scale two-dimensional (2D) moir\'e superlattices are driving a revolution in designer quantum materials. The electronic interactions in these superlattices, strongly dependent on the periodicity and symmetry of the moir\'e pattern,…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 M. Kögl , P. Soubelet , M. Brotons-Gisbert , A. V. Stier , B. D. Gerardot , J. J. Finley

Experiments conducted on two-dimensional twisted materials have revealed a plethora of moir\'e patterns with different forms and shapes. The formation of these patterns is usually attributed to the presence of small strains in the samples,…

Mesoscale and Nanoscale Physics · Physics 2024-05-27 Federico Escudero , Andreas Sinner , Zhen Zhan , Pierre A. Pantaleón , Francisco Guinea

We report deterministic control over moir\'e superlattice interference pattern in twisted bilayer graphene by implementing designable device-level heterostrain with process-induced strain engineering, a widely used technique in industrial…

Mesoscale and Nanoscale Physics · Physics 2023-04-04 Tara Peña , Aditya Dey , Shoieb A. Chowdhury , Ahmad Azizimanesh , Wenhui Hou , Arfan Sewaket , Carla L. Watson , Hesam Askari , Stephen M. Wu

Moir\'e superlattices in twisted two-dimensional materials have generated tremendous excitement as a platform for achieving quantum properties on demand. However, the moir\'e pattern is highly sensitive to the interlayer atomic registry,…

Moir\'e superlattice in two-dimensional (2D) materials provides a powerful platform to engineer emergent electronic states, yet the construction of moir\'e superlattices remains lab-scale, involving much trial and error and with little…

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 study of moir\'e engineering started with the advent of van der Waals heterostructures in which stacking two-dimensional layers with different lattice constants leads to a moir\'e pattern controlling their electronic properties. The…

Mesoscale and Nanoscale Physics · Physics 2023-08-28 F. Mesple , N. R. Walet , G. Trambly de Laissardière , F. Guinea , D. Dosenovic , H. Okuno , C. Paillet , A. Michon , C. Chapelier , V. T. Renard

The discovery of correlated phases in twisted moir\'e superlattices accelerated the search for low-dimensional materials with exotic properties. A promising approach uses engineered substrates to strain the material. However, designing…

Mesoscale and Nanoscale Physics · Physics 2023-08-25 Md Tareq Mahmud , Dawei Zhai , Nancy Sandler

The interplay of twist and strain in bilayer graphene enables the formation of moir\'e patterns and narrow bands that host correlated and topological phases. While magic-angle twisted bilayer graphene has been widely studied, strain…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Federico Escudero , Dong Wang , Pierre A. Pantaleón , Shengjun Yuan , Francisco Guinea , Zhen Zhan

We investigate the optical properties of interlayer excitons in heterobilayer transition metal dichalcogenides where moir\'e pattern is introduced by heterostrain, in comparison with that introduced by twisting (and/or lattice mismatch).…

Mesoscale and Nanoscale Physics · Physics 2021-10-20 Huiyuan Zheng , Dawei Zhai , Wang Yao

The emerging field of twistronics, which harnesses the twist angle between two-dimensional materials, represents a promising route for the design of quantum materials, as the twist-angle-induced superlattices offer means to control topology…

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

One of the fascinating properties of the new families of two-dimensional crystals is their high stretchability and the possibility to use external strain to manipulate, in a controlled manner, their optical and electronic properties. Strain…

Mesoscale and Nanoscale Physics · Physics 2015-07-24 Rafael Roldán , Andres Castellanos-Gomez , Emmanuele Cappelluti , Francisco Guinea

The spatial texture of internal degree of freedom of electrons has profound effects on the properties of materials. Such texture in real space can manifest as an emergent magnetic field (or Berry curvature), which is expected to induce…

Mesoscale and Nanoscale Physics · Physics 2020-09-08 Dawei Zhai , Wang Yao

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

We study the effects of strain in moir\'e systems composed of honeycomb lattices. We elucidate the formation of almost perfect one-dimensional moir\'e patterns in twisted bilayer systems. The formation of such patterns is a consequence of…

Materials Science · Physics 2023-10-20 Andreas Sinner , Pierre A. Pantaleón , Francisco Guinea

We investigate how anisotropic strain reorganizes commensurate moir\'e superlattices and electronic structure in twisted bilayer graphene across a finite range of twist angles. Motivated by experiments demonstrating robust magic angle…

Mesoscale and Nanoscale Physics · Physics 2026-03-23 Ayan Mondal , Bheema Lingam Chittari

Moir\'e superlattices in graphene supported on various substrates have opened a new avenue to engineer graphene's electronic properties. Yet, the exact crystallographic structure on which their band structure depends remains highly debated.…

Two-dimensional (2D) materials with a twist between layers exhibit a moir\'e interference pattern with larger periodicity than any of the constituent layer unit cells. In these systems, a wealth of exotic phases appear that result from…

In long-wavelength moir\'e superlattices of stacked transition metal dichalcogenides (TMDs), structural reconstruction ubiquitously occurs, which has reported to impact significantly their electronic properties. However, complete…

Mesoscale and Nanoscale Physics · Physics 2022-03-28 Kai-Hui Li , Fei-Ping Xiao , Wen Guan , Yu-Long Xiao , Chang Xu , Jin-Ding Zhang , Chen-Fang Lin , Dong Li , Qing-Jun Tong , Si-Yu Li , An-Lian Pan
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