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By atomistic modeling of moir{\'e} patterns of graphene on a substrate with a small lattice mismatch, we find qualitatively different strain distributions for small and large misorientation angles, corresponding to the…

Mesoscale and Nanoscale Physics · Physics 2015-03-16 M. M. van Wijk , A. Schuring , M. I. Katsnelson , A. Fasolino

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

We have observed with STM moir\'e patterns corresponding to the rotation of one graphene layer on HOPG surface. The moir\'e patterns were characterized by rotation angle and extension in the plane. Additionally, by identifying border…

Mesoscale and Nanoscale Physics · Physics 2013-07-15 M. Flores , E. Cisternas , J. D. Correa , P. Vargas

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

Two-dimensional materials on metallic surfaces or stacked one on top of the other can form a variety of moir\'e superstructures depending on the possible parameter and symmetry mismatch and misorientation angle. In most cases, such as…

Materials Science · Physics 2021-05-10 Virginia Carnevali , Stefano Marcantoni , Maria Peressi

Epitaxial graphene is grown on a non-polar n+ 6H-SiC m-plane substrate and studied using atomic scale scanning tunneling microscopy. Multilayer graphene is found throughout the surface and exhibits rotational disorder. Moir\'e patterns of…

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

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

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…

Experiments conducted on two-dimensional twisted materials have revealed a plethora of moir\'e patterns with different forms and shapes. The formation of these patterns is usually attributed to the presence of small strains in the samples,…

Mesoscale and Nanoscale Physics · Physics 2024-05-27 Federico Escudero , Andreas Sinner , Zhen Zhan , Pierre A. Pantaleón , Francisco Guinea

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

When atomically thin two-dimensional (2D) materials are layered they often form incommensurate non-crystalline structures that exhibit long-period moir{\' e} patterns when examined by scanning probes. In this paper we present an approach…

Mesoscale and Nanoscale Physics · Physics 2015-02-23 Jeil Jung , Arnaud Raoux , Zhenhua Qiao , Allan H. MacDonald

We study structural and electronic properties of graphene grown on SiC substrate using scanning tunneling microscope (STM), spot-profile-analysis low energy electron diffraction (SPA-LEED) and angle resolved photoemission spectroscopy…

Mesoscale and Nanoscale Physics · Physics 2017-07-19 Lunan Huang , Yun Wu , M. T. Hershberger , Daixiang Mou , Ben Schrunk , Michael C. Tringides , Myron Hupalo , Adam Kaminski

We have used scanning tunneling microscopy and spectroscopy to resolve the spatial variation of the density of states of twisted graphene layers on top of a highly oriented pyrolytic graphite substrate. Owing to the twist a moire pattern…

Scanning tunneling microscopy (STM) images are obtained for the first time on few layer and twisted multilayer epitaxial graphene states synthesized on n+ 6H-SiC a-plane non-polar surface. The twisted graphene is determined to have a…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 P. Xu , M. L. Ackerman , S. D. Barber , J. K. Schoelz , P. M. Thibado , V. D. Wheeler , L. O. Nyakiti , R. L. Myers-Ward , C. R. Eddy , D. K. Gaskill

Twisting and stacking two copies of a 2D crystal can produce a long-wavelength periodic interference pattern known as a moir\'e pattern. Performing the same procedure with an aperiodic structure instead generates a single moir\'e spot at…

Disordered Systems and Neural Networks · Physics 2025-11-04 Aaron Dunbrack

Moir\'e patterns on Highly Oriented Pyrolytic Graphite surfaces due to dislocated graphene layers were studied. We observed that the apparent corrugations of the moir\'e patterns in scanning tunnelling microscopy images change as a function…

Mesoscale and Nanoscale Physics · Physics 2015-02-04 Dilek Yıldız , H. Şener Şen , Oğuz Gülseren , Oğuzhan Gürlü

We report deterministic control over moir\'e superlattice interference pattern in twisted bilayer graphene by implementing designable device-level heterostrain with process-induced strain engineering, a widely used technique in industrial…

Mesoscale and Nanoscale Physics · Physics 2023-04-04 Tara Peña , Aditya Dey , Shoieb A. Chowdhury , Ahmad Azizimanesh , Wenhui Hou , Arfan Sewaket , Carla L. Watson , Hesam Askari , Stephen M. Wu

Moir\'e patterns are a central motif in van der Waals heterostructures arising from the superposition of two-dimensional (2D) incommensurate lattices. These patterns reveal a wealth of correlated effects, influencing electronic, magnetic,…

Moir{\'e} heterostructures, created by stacking two-dimensional (2D) materials together with a finite lattice mismatch or rotational twist, represent a new frontier of designer quantum materials. Typically, however, this requires the…

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