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Twisted graphene layers produce a moir\'e pattern (MP) structure with a predetermined wavelength for given twist angle. However, predicting the membrane corrugation amplitude for any angle other than pure AB-stacked or AA-stacked graphene…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 M. Neek-Amal , P. Xu , D. Qi , P. M. Thibado , L. O. Nyakiti , V. D. Wheeler , R. L. Myers-Ward , C. R. Eddy , D. K. Gaskill , F. M. Peeters

Twisted heterostructures of van der Waals materials have received much attention for their many remarkable properties. Here, we present a comprehensive theory of the long-range ordered magnetic phases of twisted bilayer $\alpha$-RuCl$_3$…

Materials Science · Physics 2023-10-20 Muhammad Akram , Jesse Kapeghian , Jyotirish Das , Roser Valenti , Antia S. Botana , Onur Erten

In this article, we review the recent discoveries of exotic phenomena in graphene, especially superconductivity. It has been theoretically suggested for more than one decade that superconductivity may emerge in doped graphene-based…

Superconductivity · Physics 2020-10-28 Yonghuan Chu , Fangduo Zhu , Linzhi Wen , Wanying Chen , Qiaoni Chen , Tianxing Ma

The diverse and intriguing phenomena observed in twisted bilayer systems, such as graphene and transition metal dichalcogenides, prompted new questions about the emergent effects that they may host. However, the practical challenge of…

Superlattices from twisted graphene mono- and bi-layer systems give rise to on-demand many-body states such as Mott insulators and unconventional superconductors. These phenomena are ascribed to a combination of flat bands and strong…

Van der Waals (vdW) heterostructures are an emergent class of metamaterials comprised of vertically stacked two-dimensional (2D) building blocks, which provide us with a vast tool set to engineer their properties on top of the already rich…

Bilayer graphene, forming moir\'e superlattices, possesses distinct electronic and optical properties derived from the hybridization of energy band and the emergence of van Hove singularities depending on its twist angle. Extensive research…

Mesoscale and Nanoscale Physics · Physics 2025-07-09 Ming Liu , Ryosuke Senga , Masanori Koshino , Yung-Chang Lin , Kazu Suenaga

Symmetry plays a key role in materials hosting Dirac electrons and underpins our ability to completely flatten the Dirac cone through the tuning of physical parameters such as twisting in van der Waals heterostructures. The emergent…

Mesoscale and Nanoscale Physics · Physics 2025-02-06 David T. S. Perkins

The rich physics of magic angle twisted bilayer graphene (TBG) results from the Coulomb interactions of electrons in flat bands of non-trivial topology. While the bands' dispersion is well characterized, accessing their topology remains an…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 F. Mesple , P. Mallet , G. Trambly de Laissardière , C. Dutreix , G. Lapertot , J-Y. Veuillen , V. T. Renard

We analyze the orbital magnetic susceptibility from the band structure of twisted bilayer graphene. Close to charge neutrality, the out-of-plane susceptibility inherits the strong diamagnetic response from graphene. Increasing the doping, a…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Daniele Guerci , Pascal Simon , Christophe Mora

Twisted bilayer graphene (TwBLG) is one of the simplest van der Waals heterostructures, yet it yields a complex electronic system with intricate interplay between moir\'{e} physics and interlayer hybridization effects. We report on…

Mesoscale and Nanoscale Physics · Physics 2016-09-13 Y. Cao , J. Y. Luo , V. Fatemi , S. Fang , J. D. Sanchez-Yamagishi , K. Watanabe , T. Taniguchi , E. Kaxiras , P. Jarillo-Herrero

One-dimensional (1D) moir\'e superlattices provide a new route to engineering reduced-dimensional electronic states in van der Waals materials, yet their electronic structure and microscopic origin remain largely unexplored. Here, we…

At large commensurate angles, twisted bilayer graphene which holds even parity under sublattice exchange exhibits a tiny gap. Here, we point out a way to tune this tiny gap into a large gap. We start from comprehensive understanding of the…

Mesoscale and Nanoscale Physics · Physics 2024-03-22 Xiu-Cai Jiang , Yi-Yuan Zhao , Yu-Zhong Zhang

In the emerging world of twisted bilayer structures, the possible configurations are limitless, which enables for a rich landscape of electronic properties. In this paper, we focus on twisted bilayer transition metal dichalcogenides (TMDCs)…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Yipei Zhang , Zhen Zhan , Francisco Guinea , Jose Angel Silva-Guillen , Shengjun Yuan

Motivated by the recent observation of correlated insulator states and unconventional superconductivity in twisted bilayer graphene, we study the dependence of electron correlations on the twist angle and reveal the existence of strong…

Strongly Correlated Electrons · Physics 2019-09-18 Zachary A. H. Goodwin , Fabiano Corsetti , Arash A. Mostofi , Johannes Lischner

Twisted bilayers of nodal superconductors were recently proposed as a promising platform to host superconducting phases that spontaneously break time-reversal symmetry. Here we extend this analysis to twisted multilayers, focusing on two…

Superconductivity · Physics 2022-07-28 Tarun Tummuru , Étienne Lantagne-Hurtubise , Marcel Franz

Monolayer graphene placed with a twist on top of AB-stacked bilayer graphene hosts topological flat bands in a wide range of twist angles. The dispersion of these bands and gaps between them can be efficiently controlled by a perpendicular…

Strongly Correlated Electrons · Physics 2020-08-05 Louk Rademaker , Ivan Protopopov , Dmitry Abanin

Van der Waals (vdW) coupling is emerging as a powerful method to engineer and tailor physical properties of atomically thin two-dimensional (2D) materials. In graphene/graphene and graphene/boron-nitride structures it leads to interesting…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Kaihui Liu , Liming Zhang , Ting Cao , Chenhao Jin , Diana Qiu , Qin Zhou , Alex Zettl , Peidong Yang , Steve G. Louie , Feng Wang

Twistronic assembly of 2D materials employs the twist angle between adjacent layers as a tuning parameter for designing the electronic and optical properties of van der Waals heterostructures. Here, we study how interlayer hybridization,…

Mesoscale and Nanoscale Physics · Physics 2021-06-21 Fábio Ferreira , Samuel Magorrian , Vladimir Enaldiev , David Ruiz-Tijerina , Vladimir Fal'ko

Twisting is a novel technique for creating strongly correlated effects in two-dimensional bilayered materials, and can tunably generate nontrivial topological properties, magnetism, and superconductivity. Magnetism is particularly…

Strongly Correlated Electrons · Physics 2023-07-20 Zhigang Song , Jingshan Qi , Olivia Liebman , Prineha Narang