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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…

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

Twisted bilayer graphene exhibits electronic properties that are highly correlated with the size and arrangement of moir\'e patterns. While rigid rotation of two layers creates the topology of moir\'e patterns, local rearrangements of the…

Materials Science · Physics 2023-04-18 Aditya Dey , Shoieb Ahmed Chowdhury , Tara Peña , Sobhit Singh , Stephen M. Wu , Hesam Askari

Twisted multilayer moir\'e materials are generically quasiperiodic on the moir\'e scale due to the interference of different misaligned moir\'e periodicities. Spatial inhomogeneities such as these can be detrimental to superconductivity;…

Mesoscale and Nanoscale Physics · Physics 2025-12-30 Xinghai Zhang , Ziyan Zhu , Justin H. Wilson , Matthew S. Foster

The interplay between localized magnetic moments and itinerant electrons gives rise to exotic quantum states in condensed matter systems. Two-dimensional moire superlattices offer a powerful platform for engineering heavy fermion states…

Mesoscale and Nanoscale Physics · Physics 2025-07-17 Le Zhang , Wenqiang Zhou , Xinjie Fang , Zhen Zhan , Kenji Watanabe , Takashi Taniguchi , Yi-feng Yang , Shuigang Xu

Moir\'e superlattices hosting flat bands and correlated states have emerged as a focal topic in condensed matter research. Through first-principles calculations, we investigate three-dimensional flat bands in alternating twisted NbSe$_2$…

Superconductivity · Physics 2026-05-08 Shuang Liu , Peng Chen , Shihao Zhang

Twisted bilayer graphene displays many fascinating properties that can be tuned by varying the relative angle (also called twist angle) between its monolayers. As a remarkable feature, both the electronic flat bands and the corresponding…

Materials Science · Physics 2022-05-06 V. Hung Nguyen , Trinh X. Hoang , J. -C. Charlier

The use of moir\'e patterns to manipulate two-dimensional materials has facilitated new possibilities for controlling material properties. The moir\'e patterns in the two-dimensional magnets can cause peculiar spin texture, as shown by…

Mesoscale and Nanoscale Physics · Physics 2023-12-29 Kyoung-Min Kim , Moon Jip Park

Motivated by the possible non-spin-singlet superconductivity in the magic-angle twisted trilayer graphene experiment, we investigate the triplet-pairing superconductivity arising from a correlation-induced spin-fermion model on a honeycomb…

Superconductivity · Physics 2021-11-18 Yang-Zhi Chou , Fengcheng Wu , Jay D. Sau , Sankar Das Sarma

Moir\'{e} superlattices in transition metal dichalcogenide heterostructures provide a platform to engineer many-body interactions. Here, we realize a bichromatic moir\'{e} superlattice in an asymmetric WSe$_2$/WS$_2$/WSe$_2$ heterotrilayer…

We generalize the continuum model for Moir\'e structures made from twisted graphene layers, in order to include lattice relaxation and the formation of channels at very small (marginal) twist angles. We show that a precise description of…

Strongly Correlated Electrons · Physics 2020-02-19 Niels R. Walet , Francisco Guinea

In the twisted trilayer graphene (tTLG) platform, the rich beating patterns between the three graphene layers give rise to a plethora of new length scales and reconstructed electronic bands arising from the emergent moir\'e and…

Mesoscale and Nanoscale Physics · Physics 2025-04-15 Konstantin Davydov , Daochen Long , Jack Alexander Tavakley , Kenji Watanabe , Takashi Taniguchi , Ke Wang

We report the first observation of controlled, strain-induced square moire patterns in stacked graphene. By selectively displacing native wrinkles, we drive a reversible transition from the usual trigonal to square moire order. Scanning…

Interactions between stacked two-dimensional (2D) atomic crystals can radically change their properties, leading to essentially new materials in terms of the electronic structure. Here we show that monolayers placed on an atomically flat…

Graphene moire superlattices are outstanding platforms to study correlated electron physics and superconductivity with exceptional tunability. However, robust superconductivity has been measured only in magic-angle twisted bilayer graphene…

Mesoscale and Nanoscale Physics · Physics 2021-10-20 Young Woo Choi , Hyoung Joon Choi

Ultraflat bands have already been detected in twisted bilayer graphene and twisted bilayer transition-metal dichalcogenides, which provide a platform to investigate strong correlations. In this paper, the electronic properties of twisted…

Materials Science · Physics 2024-03-05 Yonggang Li , Zhen Zhan , Shengjun Yuan

We study the electronic properties of a twisted trilayer graphene, where two of the layers have Bernal stacking and the third one has a relative rotation with respect to the AB-stacked layers. Near the Dirac point, the AB-twisted trilayer…

Mesoscale and Nanoscale Physics · Physics 2013-04-02 E. Suárez Morell , M. Pacheco , L. Chico , L. Brey

We present simple models to describe the in-plane and the out-of-plane lattice relaxation in twisted bilayer and symmetrically twisted trilayer graphene. Analytical results and series expansions show that for twist angles {\theta} > 1…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 Adrián Ceferino , Francisco Guinea

Twisted 2D layered materials have garnered a lot of attention recently as a class of 2D materials whose interlayer interactions and electronic properties are dictated by the relative rotation / twist angle between the adjacent layers. In…

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…

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