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Related papers: Commensurate and incommensurate double moir\'e int…

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We consider the electronic structure of a slightly twisted graphene bilayer and show the coexistence of van Hove singularities (VHSs) and superlattice Dirac points in a continuum approximation. The graphene-on-graphene moir\'e pattern gives…

Mesoscale and Nanoscale Physics · Physics 2013-04-19 Zhao-Dong Chu , Wen-Yu He , Lin He

The discovery of different phases as a result of correlations, especially in low-dimensional materials, has been always an exciting and fundamental subject of research. Recent experiments on twisted bilayer graphene have revealed reentrant…

Strongly Correlated Electrons · Physics 2018-11-30 Yury Sherkunov , Joseph J. Betouras

Twisted bilayer graphene (tBLG) forms a quasicrystal whose structural and electronic properties depend on the angle of rotation between its layers. Here we present a scanning tunneling microscopy study of gate-tunable tBLG devices supported…

A double moir\'e superlattice can be realized by stacking three layers of atomically thin two-dimensional materials with designer interlayer twisting or lattice mismatches. In this novel structure, atomic reconstruction of constituent…

Lattice dynamics play a crucial role in the physics of Moir\'e systems. In twisted bilayer graphene (TBG), it was shown that, in addition to the graphene phonons, there is another set of gapless excitations termed Moir\'e Phonons [Phys.…

Mesoscale and Nanoscale Physics · Physics 2022-08-23 Qiang Gao , Eslam Khalaf

Moir\'e superlattices formed in stacks of two or more 2D crystals with similar lattice structures have recently become excellent platforms to reveal new physics in low-dimensional systems. They are, however, highly sensitive to the angle…

Mesoscale and Nanoscale Physics · Physics 2024-11-15 Tianyu Zhang , Chengxin Xiao , Hongxia Xue , Wang Yao , Dong-Keun Ki

The coupling of mechanical deformation and electrical stimuli at the nanoscale has been a subject of intense investigation in the realm of materials science. Recently, twisted van der Waals (vdW) materials have emerged as a platform to…

Mesoscale and Nanoscale Physics · Physics 2024-12-30 Hanhao Zhang , Yuanhao Wei , Yuhao Li , Shengsheng Lin , Jiarui Wang , Takashi Taniguchi , Kenji Watanabe , Jiangyu Li , Yi Shi , Xinran Wang , Yan Shi , Zaiyao Fei

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…

The supermoir\'e lattice, arising from the interference of multiple moir\'e patterns, dramatically reshapes the electronic band structure by introducing new minibands and modifying band dispersion. Concurrently, strong electronic…

Strongly Correlated Electrons · Physics 2026-03-11 Zekang Zhou , Cheng Shen , Kryštof Kolář , Kenji Watanabe , Takashi Taniguchi , Cyprian Lewandowski , Mitali Banerjee

In twisted van der Waals materials, local atomic relaxation can alter the underlying electronic structure. Characterizing lattice reconstruction and its susceptibility to strain is essential for understanding emergent electronic states,…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Jesse C. Hoke , Yifan Li , Yuwen Hu , Julian May-Mann , Kenji Watanabe , Takashi Taniguchi , Trithep Devakul , Benjamin E. Feldman

Moir\'e superlattices created by the twisted stacking of two-dimensional crystalline monolayers can host electronic bands with flat energy dispersion in which interaction among electrons is strongly enhanced. These superlattices can also…

Mesoscale and Nanoscale Physics · Physics 2021-05-18 Xiaomeng Liu , Cheng-Li Chiu , Jong Yeon Lee , Gelareh Farahi , Kenji Watanabe , Takashi Taniguchi , Ashvin Vishwanath , Ali Yazdani

Twist angle engineering in van der Waals homo and hetero-bilayers introduces profound modifications in their electronic, optical and mechanical properties due to lattice reconstruction. In these systems, the interlayer coupling and atomic…

Very recently, unconventional superconductivity has been observed in the double twisted trilayer graphene (TLG), where three monolayer graphene (MLG) are stacked on top of each other with two twist angles [J. M. Park, et al., Nature 590,…

Mesoscale and Nanoscale Physics · Physics 2022-06-01 Miao Liang , Meng-Meng Xiao , Zhen Ma , Jin-Hua Gao

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

Layers of two-dimensional materials stacked with a small twist-angle give rise to beating periodic patterns on a scale much larger than the original lattice, referred to as a moir\'e superlattice. When the stacking involves more than two…

Mesoscale and Nanoscale Physics · Physics 2020-12-03 Kan-Ting Tsai , Xi Zhang , Ziyan Zhu , Yujie Luo , Stephen Carr , Mitchell Luskin , Efthimios Kaxiras , Ke Wang

In stacks of two-dimensional crystals, mismatch of their lattice constants and misalignment of crystallographic axes lead to formation of moir\'{e} patterns. We show that moir\'{e} superlattice effects persist in twisted bilayer graphene…

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

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

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

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