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The direct experimental probing of locally varying lattice parameters and anisotropic lattice deformations in atomic multilayers is extremely challenging. Here, we develop a new combined numerical/graphical method for the analysis of…

Mesoscale and Nanoscale Physics · Physics 2019-09-13 Márton Szendrő , András Pálinkás , Péter Süle , Zoltán Osváth

The localisation of electrons in a lattice potential is an quantum-mechanical phenomenon and is often associated with remarkable physical properties of solids involving electron spins, electric polarisations and topological effects. In…

When two-dimensional atomic crystals are brought into close proximity to form a van der Waals heterostructure, neighbouring crystals can start influencing each others electronic properties. Of particular interest is the situation when the…

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 patterns arising from twisted van der Waals stacks fundamentally reshape their electronic properties, enabling band-structure engineering that has driven rapidly growing interest in this field. In studying electronic properties,…

Mesoscale and Nanoscale Physics · Physics 2025-11-12 Namkyung Lee , Hangyeol Park , Seungwon Jung , Baeksan Jang , Seonyu Lee , Joonho Jang

Van der Waals heteroepitaxy allows deterministic control over lattice mismatch or azimuthal orientation between atomic layers to produce long wavelength superlattices. The resulting electronic phases depend critically on the superlattice…

Twisted bilayer graphene (TBG) exhibits a wide range of intriguing physical properties, such as superconductivity, ferromagnetism, and superlubricity. Depending on the twist angle, periodic moir\'e superlattices form in twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2022-06-07 Vahid Morovati , Zhiming Xue , Kenneth M. Liechti , Rui Huang

We study the energetic stability and the local electronic structure of the general twisted trilayer graphene (TTG) with the top and bottom layers rotated with respect to the middle layer respectively by $\theta$ and $\theta'$. Approximate…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 Xianqing Lin , Cheng Li , Kelu Su , Jun Ni

In long-wavelength moir\'e superlattices of stacked transition metal dichalcogenides (TMDs), structural reconstruction ubiquitously occurs, which has reported to impact significantly their electronic properties. However, complete…

Mesoscale and Nanoscale Physics · Physics 2022-03-28 Kai-Hui Li , Fei-Ping Xiao , Wen Guan , Yu-Long Xiao , Chang Xu , Jin-Ding Zhang , Chen-Fang Lin , Dong Li , Qing-Jun Tong , Si-Yu Li , An-Lian Pan

Twisted van der Waals multilayers are widely regarded as a rich platform to access novel electronic phases, thanks to the multiple degrees of freedom such as layer thickness and twist angle that allow control of their electronic and…

Moir\'e superlattices can induce correlated-electronic phases in twisted van-der-Waals materials. Strongly correlated quantum phenomena emerge, such as superconductivity and the Mott-insulating state. However, moir\'e superlattices produced…

Experiments on bilayer graphene unveiled a fascinating realization of stacking disorder where triangular domains with well-defined Bernal stacking are delimited by a hexagonal network of strain solitons. Here we show by means of numerical…

Mesoscale and Nanoscale Physics · Physics 2018-04-13 Fernando Gargiulo , Oleg V. Yazyev

Strain engineering of graphene takes advantage of one of the most dramatic responses of Dirac electrons enabling their manipulation via strain-induced pseudo-magnetic fields. Numerous theoretically proposed devices, such as resonant…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 R. Banerjee , V. -H. Nguyen , T. Granzier-Nakajima , L. Pabbi , A. Lherbier , A. R. Binion , J. -C. Charlier , M. Terrones , E. W. Hudson

Sliding and twisting van der Waals layers with respect to each other gives rise to moir\'e structures with emergent electronic properties. Electrons in these moir\'e structures feel weak potentials that are typically in the tens of…

Mesoscale and Nanoscale Physics · Physics 2020-07-14 Drew Edelberg , Hemant Kumar , Vivek Shenoy , Héctor Ochoa , Abhay N. Pasupathy

Lattice reconstruction and corresponding strain accumulation play a key role in defining the electronic structure of two-dimensional moir\'e superlattices, including those of transition metal dichalcogenides (TMDs). Imaging of TMD moir\'es…

Twisted van der Waals materials have been shown to host a variety of tunable electronic structures. Here we put forward twisted trilayer graphene (TTG) as a platform to emulate heavy fermion physics. We demonstrate that TTG hosts extended…

Mesoscale and Nanoscale Physics · Physics 2021-07-08 Aline Ramires , Jose L. Lado

We present a systematic theoretical study on the structural and electronic properties of twisted trilayer transition metal dichalcogenide (TMD) WSe$_2$, where two independent moir\'e patterns form between adjacent layers. Using a continuum…

Mesoscale and Nanoscale Physics · Physics 2025-12-19 Naoto Nakatsuji , Takuto Kawakami , Hayato Tateishi , Koichiro Kato , Mikito Koshino

It is well known that stacking domains form in moir\'e superlattices due to the competition between the interlayer van der Waals forces and intralayer elastic forces, which can be recognized as polar domains due to the local spontaneous…

Mesoscale and Nanoscale Physics · Physics 2022-08-12 Daniel Bennett , Benjamin Remez

Moir\'e superlattices in van der Waals heterostructures are gaining increasing attention because they offer new opportunities to tailor and explore unique electronic phenomena when stacking 2D materials with small twist angles. Here, we…

Materials Science · Physics 2021-04-28 Junxi Yu , Rajiv Giridharagopal , Yuhao Li , Kaichen Xie , Jiangyu Li , Ting Cao , Xiaodong Xu , David S. Ginger

Twisted graphene multilayers have demonstrated to yield a versatile playground to engineer controllable electronic states. Here, by combining first-principles calculations and low-energy models, we demonstrate that twisted graphene…

Mesoscale and Nanoscale Physics · Physics 2020-09-04 Alejandro Lopez-Bezanilla , J. L. Lado