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The strain induced pseudo-magnetic field in supported graphene deposited on top of a nanostructured substrate is investigated by using atomistic simulations. Step, elongated trench, one dimensional barrier, spherical bubbles, Gaussian bump…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 M. Neek-Amal , F. M. Peeters

Patterning graphene into various mesoscopic devices such as nanoribbons, quantum dots, etc. by lithographic techniques has enabled the guiding and manipulation of graphene's Dirac-type charge carriers. Graphene, with well-defined strain…

Mesoscale and Nanoscale Physics · Physics 2017-06-09 Péter Nemes-Incze , Gergő Kukucska , János Koltai , Jenő Kürti , Chanyong Hwang , Levente Tapasztó , László P. Biró

The control of strain in two-dimensional materials opens exciting perspectives for the engineering of their electronic properties. While this expectation has been validated by artificial-lattice studies, it remains elusive in the case of…

We have revealed the decisive role of grain-boundary-induced strain fields in electron scattering in polycrystalline graphene. To this end, we have formulated the model based on Boltzmann transport theory which properly takes into account…

Materials Science · Physics 2022-05-24 S. E. Krasavin , V. A. Osipov

We revise the tight binding approach to strained or curved graphene in the presence of external probes such as Photoemission or Scanning Tunneling Microscopy experiments. We show that extra terms arise in the continuum limit of the tight…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Fernando de Juan , Juan L. Mañes , María A. H. Vozmediano

We rigorously derive a strain-gradient model of plasticity as a $\Gamma$-limit of continuum bodies containing finitely-many edge-dislocations (in two dimensions). The key difference from previous such derivations is the elemental notion of…

Analysis of PDEs · Mathematics 2026-03-03 Raz Kupferman , Cy Maor

Strain engineering is a promising approach for suppressing the OFF-state conductance in graphene-based devices that arises from Klein tunnelling. In this work, we derive a comprehensive tight-binding Hamiltonian for strained graphene that…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 Maverick Chauwin , Zhuo Bin Siu , Mansoor Bin Abdul Jalil

The mechanical and electronic properties of a graphene membrane placed on top of a superlattice of nanopillars are investigated. We use molecular dynamics (MD) simulations to access the deformation fields and the tight-binding approaches to…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 S. P. Milovanovic , L. Covaci , F. M. Peeters

We present a continuum theory of graphene treating on an equal footing both homogeneous Cauchy-Born (CB) deformation, as well as the microscopic degrees of freedom associated with the two sublattices. While our theory recovers all extant…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 R. Gupta , F. Rost , M. Fleischmann , S. Sharma , S. Shallcross

Moir\'e superlattices in twisted homo-bilayers have revealed exotic electronic states, including unconventional superconductivity and correlated insulating phases. However, their fabrication process often introduces moir\'e disorders,…

Mesoscale and Nanoscale Physics · Physics 2025-02-13 Zeyu Liu , Xianghua Kong , Zewen Wu , Linwei Zhou , Jingsi Qiao , Wei Ji

Strain, both naturally occurring and deliberately engineered, can have a considerable effect on the structural and electronic properties of 2D and layered materials. Uniaxial or biaxial heterostrain modifies the stacking arrangement of…

Materials Science · Physics 2022-10-19 Nina C. Georgoulea , Stephen R. Power , Nuala M. Caffrey

Among the different strategies used to induce the opening of a band gap in graphene, one common practice is through chemical doping. While a gap may me opened in this way, disorder-induced scattering is an unwanted side-effect that impacts…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 James A Lawlor , Claudia G Rocha , Vanessa Torres , Andrea Latgé , Mauro Ferreira

The spurious states found in numerical implementations of envelope function models for semiconductor heterostructures and nanostructures have been shown to be readily removed by employing a first-order difference scheme. This approach is…

Mesoscale and Nanoscale Physics · Physics 2015-10-29 William R. Frensley

Strain-inducing deformations in graphene alter charge distributions and provide a new method to design specific features in the band structure and transport properties. Novel approaches implement engineered substrates to induce specifically…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Md Tareq Mahmud , Nancy Sandler

The electronic structure in the vicinity of the 1-heptagonal and 1-pentagonal defects in the carbon graphene plane is investigated. Using a continuum gauge field-theory model the local density of states around the Fermi energy is calculated…

Mesoscale and Nanoscale Physics · Physics 2011-12-06 J. Smotlacha , R. Pincak , M. Pudlak

Strain engineering is one of the key technologies for using graphene as an electronic device: the strain-induced pseudo-gauge field reflects Dirac electrons, thus opening the so-called conduction gap. Since strain accumulates in…

Mesoscale and Nanoscale Physics · Physics 2021-01-08 Masahiko Hayashi , Hideo Yoshioka , Hikari Tomori , Akinobu Kanda

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 determine the band structure of graphene under strain using density functional calculations. The ab-initio band strucure is then used to extract the best fit to the tight-binding hopping parameters used in a recent microscopic model of…

Mesoscale and Nanoscale Physics · Physics 2009-11-08 R. M. Ribeiro , Vitor M. Pereira , N. M. R. Peres , P. R. Briddon , A. H. Castro Neto

Strain-induced pseudo magnetic fields offer the possibility of realizing zero magnetic field Quantum Hall effect in graphene, possibly up to room temperature, representing a promising avenue for lossless charge transport applications.…

Moir'e patterns in the pseudo-magnetic field and in the strain profile of graphene (GE) when put on top of a hexagonal lattice substrate are predicted from elasticity theory. %which are confirmed by atomistic simulations. The van der Waals…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 M. Neek-Amal , F. M. Peeters