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Related papers: Imaging supermoir\'e relaxation in helical trilaye…

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Extending moir\'{e} graphene beyond twisted bilayers, helical trilayer graphene has shown topological bands and correlated states with reshaped moir\'{e} periodicity. Here we develop a theoretical framework for helical multilayer graphene…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Kyungjin Shin , Nicolas Leconte , Jeil Jung , Hongki Min

Moir\'e superlattices formed from twisting trilayers of graphene are an ideal model for studying electronic correlation, and offer several advantages over bilayer analogues, including more robust and tunable superconductivity and a wide…

We present comprehensive theoretical studies on the lattice relaxation and the electronic structures in general non-symemtric twisted trilayer graphenes. By using an effective continuum model, we show that the relaxed lattice structure…

Mesoscale and Nanoscale Physics · Physics 2025-04-30 Naoto Nakatsuji , Takuto Kawakami , Mikito Koshino

The electronic and structural properties of atomically thin materials can be controllably tuned by assembling them with an interlayer twist. During this process, constituent layers spontaneously rearrange themselves in search of a lowest…

Controlling the stacking and rotational registry of graphene layers provides a powerful handle on atomic-scale structural reconstructions that alter the electronic landscape at the nanoscale. In particular, this governs how massless and…

Twisted trilayer graphene hosts two moir\'e superlattices originating from two interfaces between graphene layers. However, the system is generally unstable to lattice relaxation at small twist angles and is expected to show a significantly…

Mesoscale and Nanoscale Physics · Physics 2024-07-30 Joonho Jang

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 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

Moir\'e lattices provide a highly tunable platform for exploring the interplay between electronic correlations and band topology. Introducing a second moir\'e pattern extends this paradigm: interference between the two moir\'e patterns…

We study the effect of atomic relaxation on the structure of moir\'e patterns in twisted graphene on graphite and double layer graphene by large scale atomistic simulations. The reconstructed structure can be described as a superlattice of…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 M. M. van Wijk , A. Schuring , M. I. Katsnelson , A. Fasolino

Control of the interlayer twist angle in two-dimensional (2D) van der Waals (vdW) heterostructures enables one to engineer a quasiperiodic moir\'e superlattice of tunable length scale. In twisted bilayer graphene (TBG), the simple moir\'e…

We systematically explore the structural and electronic properties of twisted trilayer graphene systems. In general, these systems are characterized by two twist angles, which lead to two incommensurate moir\'{e} periods. We show that…

Strongly Correlated Electrons · Physics 2023-10-31 Charles Yang , Julian May-Mann , Ziyan Zhu , Trithep Devakul

Imposing incommensurable periodicity on the periodic atomic lattice can lead to complex structural phases consisting of locally periodic structure bounded by topological defects. Twisted trilayer graphene (TTG) is an ideal material platform…

We introduce helical twisted quadrilayer graphene (HTQG), four graphene sheets rotated by the same small angle, as a versatile and experimentally accessible platform for correlated topological matter. HTQG consists of three moir\'e…

Strongly Correlated Electrons · Physics 2025-10-06 Manato Fujimoto , Naoto Nakatsuji , Ashvin Vishwanath , Patrick Ledwith

The incommensurate stacking of multi-layered two-dimensional materials is a challenging problem from a theoretical perspective and an intriguing avenue for manipulating their physical properties. Here we present a multi-scale model to…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Ziyan Zhu , Paul Cazeaux , Mitchell Luskin , Efthimios Kaxiras

Twisted graphene multi-layers have been recently demonstrated to share several correlation-driven behaviours with twisted bilayer graphene. In general, the van Hove singularities (VHSs) can be used as a proxy of the tendency for correlated…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Hai Meng , Zhen Zhan , Shengjun Yuan

Spatial control of topology is highly desirable for realizing tunable quantum functionalities in materials. Moir\'e superlattices formed by twisting van der Waals heterostructures provide a natural platform for spatially modulated…

Materials Science · Physics 2026-05-28 Arjyama Bordoloi , Daniel Kaplan , Sobhit Singh

Moir\'e superlattices are generally assumed to act only at the interface where lattice mismatch or twist occurs. Here, we study charge transport in large-angle helical twisted trilayer graphene, where interlayer tunneling is strongly…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Dohun Kim , Junsik Choe , Takashi Taniguchi , Kenji Watanabe , Gil Young Cho , Youngwook Kim

A periodic spatial modulation, as created by a moir\'e pattern, has been extensively studied with the view to engineer and tune the properties of graphene. Graphene encapsulated by hexagonal boron nitride (hBN) when slightly misaligned with…

Mesoscale and Nanoscale Physics · Physics 2020-01-31 M. Anđelković , S. P. Milovanović , L. Covaci , F. M. Peeters

In two-dimensional (2D) twisted bilayers, the van der Waals (vdW) interlayer interaction introduces atomic-scale reconstruction at interface by locally rotating lattice to form strain-field vortex networks in their moir\'e superlattice.…

Mesoscale and Nanoscale Physics · Physics 2021-12-23 Ya-Ning Ren , Yi-Wen Liu , Chao Yan , Lin He
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