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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

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

Stacking three monolayers of graphene with a twist generally produces two moir\'e patterns. A moir\'e of moir\'e structure then emerges at larger distance where the three layers periodically realign. We devise here an effective low-energy…

Mesoscale and Nanoscale Physics · Physics 2023-03-30 Yuncheng Mao , Daniele Guerci , Christophe Mora

Moir\'e superlattices (MSL) formed in angle-aligned bilayers of van der Waals materials have become a promising platform to realize novel two-dimensional electronic states. Angle-aligned trilayer structures can form two sets of MSLs which…

Mesoscale and Nanoscale Physics · Physics 2021-02-18 Xiong Huang , Lingxiu Chen , Shujie Tang , Chengxin Jiang , Chen Chen , Huishan Wang , Zhi-Xun Shen , Haomin Wang , Yong-Tao Cui

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…

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…

When monolayer graphene is crystallographically aligned to hexagonal boron nitride (BN), a moir\'e superlattice is formed, producing characteristic satellite Dirac peaks in the electronic band structure. Aligning a second BN layer to…

The family of moir\'e materials provides a powerful platform for tuning interlayer couplings via the twist angle in systems with large spatial periodicity. In trilayer graphene systems, interlayer couplings at the two interfaces can…

Mesoscale and Nanoscale Physics · Physics 2025-04-09 Wei-En Tseng , Mei-Yin Chou

Small-twist-angle bilayer graphene supports strongly correlated insulating states and superconductivity. Twisted few-layer graphene systems are likely to open up new directions for strong correlation physics in moir\'e superlattices. We…

Materials Science · Physics 2019-07-30 Xiao Li , Fengcheng Wu , Allan H. MacDonald

We fabricate a twisted trilayer graphene device with consecutive twist angles of 1.33 and 1.64 degrees, in which we electrostatically tune the electronic states from each of the two co-existing moir\'e superlattices and the interactions…

Mesoscale and Nanoscale Physics · Physics 2023-11-20 Wei Ren , Konstantin Davydov , Ziyan Zhu , Jaden Ma , Kenji Watanabe , Takashi Taniguchi , Efthimios Kaxiras , Mitchell Luskin , Ke Wang

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

An unconventional insulating phase and a superconducting phase were recently discovered in the twisted bilayer graphene [Y. Cao et al, Nature {\bf 556}, 80; {\bf 556}, 43 (2018)], but the relevant low-energy electronic states have not been…

Mesoscale and Nanoscale Physics · Physics 2019-05-02 Long Zhang

The creation of moir\'e superlattices in twisted bilayers of two-dimensional crystals has been utilised to engineer quantum material properties in graphene and transition metal dichalcogenide (TMD) semiconductors. Here, we examine the…

Mesoscale and Nanoscale Physics · Physics 2024-05-27 J. G. McHugh , V. V. Enaldiev , V. I. Fal'ko

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 heterostructures consisting of atomically thin crystals layered on top of one another, lattice mismatch or rotation between the layers results in long-wavelength moir\'e superlattices. These moir\'e patterns can drive significant band…

Mesoscale and Nanoscale Physics · Physics 2019-10-01 Nathan R. Finney , Matthew Yankowitz , Lithurshanaa Muraleetharan , K. Watanabe , T. Taniguchi , Cory R. Dean , James Hone

To realize the applicative potential of 2D twistronic devices, scalable synthesis and assembly techniques need to meet stringent requirements in terms of interface cleanness and twist-angle homogeneity. Here, we show that small-angle…

We investigate the mesoscopic transport through a twisted bilayer graphene (TBG) consisting of a clean graphene nanoribbon on the bottom and a disordered graphene disc on the top. We show that, with strong top-layer disorder the…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 Zhe Hou , Ya-Yun Hu , Guang-Wen Yang

When using hexagonal boron-nitride (hBN) as a substrate for graphene, the resulting moir\'e pattern creates secondary Dirac points. By encapsulating a multilayer graphene within aligned hBN sheets the controlled moir\'e stacking may offer…

Mesoscale and Nanoscale Physics · Physics 2023-02-14 Robin Smeyers , Lucian Covaci , Milorad V. Milošević

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

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…

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