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We delineate a general theoretical framework to determine the substrate-regulated graphene morphology through energy minimization. We then apply such a framework to study the graphene morphology on a substrate with periodic surface grooves.…

Materials Science · Physics 2010-02-05 Teng Li , Zhao Zhang

Defects in solid commonly limit mechanical performance of the material. However, recent measurements reported that the extraordinarily high strength of graphene is almost retained with the presence of grain boundaries. We clarify in this…

Mesoscale and Nanoscale Physics · Physics 2014-02-06 Zhigong Song , Jian Wu , Zhiping Xu

We describe the lattice deformation in graphene under strain effect by considering the spacial-momenta coordinates do not commute. This later can be realized by introducing the star product to end up with a generalized Heisenberg algebra.…

Mesoscale and Nanoscale Physics · Physics 2020-12-02 Ahmed Jellal

We previously show [JETP Letters, {\bf 114}, 763 (2021)] that a graphene sample placed on a ferromagnetic substrate demonstrates a cooperative magnetoelectronic instability. The instability induces a gap in the electronic spectrum and a…

Mesoscale and Nanoscale Physics · Physics 2022-04-29 D. N. Dresviankin , A. V. Rozhkov , A. O. Sboychakov

We calculate the local density of states (LDOS) for an infinite graphene sheet with a single centro-symmetric out-of-plane deformation, in order to investigate measurable strain signatures on graphene. We focus on the regime of small…

Mesoscale and Nanoscale Physics · Physics 2015-04-22 Martin Schneider , Daiara Faria , Silvia Viola Kusminskiy , Nancy Sandler

A continuum dynamical model is developed to determine the morphological and compositional instabilities on the free surface of heteroepitaxial alloy films in the absence of growth. We use linear stability analysis to study the early…

Statistical Mechanics · Physics 2009-11-07 Zhi-Feng Huang , Rashmi C. Desai

Graphene has been studied in detail due to its mechanical, electrical, and thermal properties. It is well documented that the introduction of dopants or defects in the lattice can be used to tune material properties for a specific…

Materials Science · Physics 2025-09-11 Benedict Saunders , Lukas Hörmann , Reinhard J. Maurer

The paper investigates localized deformation patterns resulting from the onset of instabilities in lattice structures. The study is motivated by previous observations on discrete hexagonal lattices, where the onset of non-uniform,…

Soft Condensed Matter · Physics 2018-08-15 Raj Kumar Pal , Federico Bonetto , Luca Dieci , Massimo Ruzzene

The exceptional mechanical properties of graphene have made it attractive for nano-mechanical devices and functional composite materials. Two key aspects of graphene's mechanical behavior are its elastic and adhesive properties. These are…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Scott Scharfenberg , D. Z. Rocklin , Cesar Chialvo , Richard L. Weaver , Paul M. Goldbart , Nadya Mason

The electrical properties of graphene depend sensitively on the substrate. For example, recent measurements of epitaxial graphene on SiC show resistance arising from steps on the substrate. Here we calculate the deformation of graphene at…

Mesoscale and Nanoscale Physics · Physics 2012-03-05 Tony Low , Vasili Perebeinos , Jerry Tersoff , Phaedon Avouris

A principal motivation to develop graphene for future devices has been its promise for quantum spintronics. Hyperfine and spin-orbit interactions are expected to be negligible in single-layer graphene. Spin transport experiments, on the…

Mesoscale and Nanoscale Physics · Physics 2013-04-24 Mark B. Lundeberg , Rui Yang , Julien Renard , Joshua A. Folk

Diffusion and drift of a graphene flake on a graphite surface are analyzed. A potential energy relief of the graphene flake is computed using ab initio and empirical calculations. Based on the analysis of this relief, different mechanisms…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Irina V. Lebedeva , Andrey A. Knizhnik , Andrey M. Popov , Olga V. Ershova , Yurii E. Lozovik , Boris V. Potapkin

We deduce a non-linear continuum model of graphene for the case of finite out-of-plane displacements and small in-plane deformations. On assuming that the lattice interactions are governed by the Brenner's REBO potential of 2nd generation…

Mesoscale and Nanoscale Physics · Physics 2019-03-01 Cesare Davini , Antonino Favata , Roberto Paroni

Recent experimental studies have observed a surprisingly wide range of strengths in polycrystalline graphene. Previous computational investigations of graphene tilt boundaries have highlighted the role of interfacial topology in determining…

Materials Science · Physics 2025-09-23 Matthew Daly , Chandra Veer Singh

Defects in the lattice are of primal importance to tune graphene chemical, thermal and electronic properties. Electron-beam irradiation is an easy method to induce defects in graphene following pre-designed patterns, but no systematic study…

Materials Science · Physics 2023-06-28 Nicola Melchioni , Luca Bellucci , Alessandro Tredicucci , Federica Bianco

We present ab initio theory for electron reflection spectroscopy of few-layer graphene for arbitrary angles of incidence. The inelastic effects are included in a consistent way using the optical potential retrieved from ab initio…

Two-dimensional quantum materials offer a robust platform for investigating the emergence of symmetry-broken ordered phases owing to the high tuneability of their electronic properties. For instance, the ability to create new electronic…

The interplay between different types of disorder and electron-electron interactions in graphene planes is studied by means of Renormalization Group techniques. The low temperature properties of the system are determined by fixed points…

Strongly Correlated Electrons · Physics 2009-11-10 T. Stauber , F. Guinea , M. A. H. Vozmediano

Biaxial compression of centimetre-scale graphene, freely standing on the surface of water is studied. Within this platform, we report full stress-strain compression of graphene identifying elastic and plastic deformations. The Young's…

We revisit here the stability of a deformable interface that separates a fully-developed turbulent gas flow from a thin layer of laminar liquid. Unlike previous work, the turbulent base state velocity profile proposed here requires only a…

Fluid Dynamics · Physics 2016-11-26 Lennon Ó Náraigh , Peter Spelt , Omar Matar , Tamer Zaki
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