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The cores of edge dislocations, edge dislocation dipoles and edge dislocation loops in planar graphene have been studied by means of periodized discrete elasticity models. To build these models, we have found a way to discretize linear…

Materials Science · Physics 2008-08-07 A. Carpio , L. L. Bonilla

Van der Waals (vdW) heterostructures ---formed by stacking or growing two-dimensional (2D) crystals on top of each other--- have emerged as a new promising route to tailor and engineer the properties of 2D materials. Twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2020-08-05 G. Catarina , B. Amorim , Eduardo V. Castro , J. M. Viana Parente Lopes , N. M. R. Peres

We evaluate the electronic transmission and conductance in bilayer graphene through a finite number of potential barriers. Further, we evaluate the dispersion relation in a bilayer graphene superlattice with a periodic potential applied to…

Mesoscale and Nanoscale Physics · Physics 2011-01-21 M. Barbier , P. Vasilopoulos , F. M. Peeters , J. Milton Pereira

Two-dimensional (2D) layered materials hosting dislocations have attracted considerable research attention in recent years. In particular, screw dislocations can result in a spiral topology and an interlayer twist in the layered materials,…

Materials Science · Physics 2020-12-23 Rui Chen , Jinhua Cao , Stephen Gee , Yin Liu , Jie Yao

Although most two-dimensional (2D) materials are non-ferroelectric with highly symmetric lattices, symmetry breaking may take place in their bilayers upon certain stacking order, giving rise to so-called sliding ferroelectricity where the…

Mesoscale and Nanoscale Physics · Physics 2023-04-10 Liu Yang , Menghao Wu

We report on the first direct nanoscale imaging of elementary edge dislocations in a thermotropic chiral smectic C liquid crystal with the Burgers vector equal to one smectic layer spacing d. We find two different types of dislocation…

Soft Condensed Matter · Physics 2015-09-02 C. Zhang , A. M. Grubb , A. J. Seed , P. Sampson , A. Jákli , O. D. Lavrentovich

We study the stability and evolution of various elastic defects in a flat graphene sheet and the electronic properties of the most stable configurations. Two types of dislocations are found to be stable: "glide" dislocations consisting of…

Mesoscale and Nanoscale Physics · Physics 2008-06-19 Ana Carpio , Luis L. Bonilla , Fernando de Juan , María A. H. Vozmediano

We show the correspondence between a screw dislocation in gradient elasticity and a regularized vortex. The effective Burgers vector, nonsingular distortion and stress fields of a screw dislocation and the effective circulation, smoothed…

Materials Science · Physics 2024-11-13 Markus Lazar

The electronic properties of bilayer graphene strongly depend on relative orientation of the two atomic lattices. Whereas Bernal-stacked graphene is most commonly studied, a rotational mismatch between layers opens up a whole new field of…

Mesoscale and Nanoscale Physics · Physics 2014-12-15 Hennrik Schmidt , Johannes C. Rode , Dmitri Smirnov , Rolf J. Haug

The notion of a congruence of effective dislocation lines endowed with the nonvanishing local Burgers vector is introduced. Particularly, the class of congruences of principal Volterra-type effective dislocation lines associated with the…

Mathematical Physics · Physics 2010-03-17 Andrzej Trzesowski

Burgers vectors (b) of threading dislocations (TDs) in an acidic ammonothermal-grown GaN substrate were investigated using synchrotron radiation x-ray topography (SR-XRT) by combining both reflection and transmission modes. Reflection XRT…

Materials Science · Physics 2026-05-18 Kazuki Ohnishi , Kenji Iso , Hirotaka Ikeda , Yoshiyuki Tsusaka , Yongzhao Yao

Bilayer graphene (BLG) with a tunable bandgap appears interesting as an alternative to graphene for practical applications, thus its transport properties are being actively pursued. Using density functional theory and perturbation analysis,…

Materials Science · Physics 2015-05-11 Changwon Park , Junga Ryou , Suklyun Hong , Bobby Sumpter , Gunn Kim , Mina Yoon

Local electronic properties of quasi-two-dimensional Pb(111) islands with screw dislocations of different types on their surfaces were experimentally studied by means of low-temperature scanning tunneling microscopy and spectroscopy in the…

Mesoscale and Nanoscale Physics · Physics 2022-12-06 A. Yu. Aladyshkin , A. S. Aladyshkina , S. I. Bozhko

We demonstrate insights into the three-dimensional structure of defects in graphene, in particular grain boundaries, obtained via a new approach from two transmission electron microscopy images recorded at different angles. The structure is…

Using in situ low-energy electron microscopy and density functional theory, we studied the growth structure and work function of bilayer graphene on Pd(111). Low-energy electron diffraction analysis established that the two graphene layers…

Materials Science · Physics 2013-03-29 Y. Murata , S. Nie , A. Ebnonnasir , E. Starodub , B. B. Kappes , K. F. McCarty , C. V. Ciobanu , S. Kodambaka

Strain fields, dislocations and defects may be used to control electronic properties of graphene. By using advanced imaging techniques with high-resolution transmission electron microscopes, we have measured the strain and rotation fields…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 L. L. Bonilla , A. Carpio , C. Gong , J. H. Warner

Interlayer sliding, together with twist angle, is a crucial parameter that defines the atomic registry and thus determines the properties of two-dimensional (2D) material homobilayers. Here, we theoretically demonstrate that controlled…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 Jie Pan , Huanhuan Wang , Lin Zou , Xiaoyu Wang , Lihao Zhang , Xueyan Dong , Haibo Xie , Yi Ding , Yuze Zhang , Takashi Taniguchi , Kenji Watanabe , Shuxi Wang , Zhe Wang

The phase-field crystal model in its amplitude equation approximation is shown to provide an accurate description of the deformation field in defected crystalline structures, as well as of dislocation motion. We analyze in detail the…

Materials Science · Physics 2020-01-01 Marco Salvalaglio , Luiza Angheluta , Zhi-Feng Huang , Axel Voigt , Ken R. Elder , Jorge Viñals

We study the atomic structure of twisted bilayer graphene, with very small mismatch angles ($\theta \sim 0.28^0$), a topic of intense recent interest. We use simulations, in which we combine a recently presented semi-empirical potential for…

Materials Science · Physics 2016-11-15 Sandeep K. Jain , Vladimir Juricic , Gerard T. Barkema

A representation of the solid angle and the Burgers formula as line integral is derived in the framework of the theory of gradient elasticity of Helmholtz type. The gradient version of the Eshelby-deWit representation of the Burgers formula…

Materials Science · Physics 2015-06-18 Markus Lazar , Giacomo Po