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We present a new first-order approach to strain-engineering of graphene's electronic structure where no continuous displacement field $\mathbf{u}(x,y)$ is required. The approach is valid for negligible curvature. The theory is directly…

Mesoscale and Nanoscale Physics · Physics 2013-10-15 Salvador Barraza-Lopez , Alejandro A. Pacheco Sanjuan , Zhengfei Wang , Mihajlo Vanevic

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 revisit the theory of the pseudo magnetic field as induced by strain in graphene using the tight-binding approach. A systematic expansion of the hopping parameter and the deformation of the lattice vectors is presented from which we…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 M. Ramezani Masir , D. Moldovan , F. M. Peeters

We investigate the low energy continuum limit theory for electrons in a graphene sheet under strain. We use the quantum field theory in curved spaces to analyze the effect of the system deformations into an effective gauge field. We study…

Mesoscale and Nanoscale Physics · Physics 2015-12-15 Enrique Arias , Alexis R. Hernández , Caio Lewenkopf

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

Recent experiments reveal that a scanning tunneling microscopy (STM) probe tip can generate a highly localized strain field in a graphene drumhead, which in turn leads to pseudomagnetic fields in the graphene that can spatially confine…

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

Lattice deformations couple to the low energy electronic excitations of graphene as vector fields similar to the electromagnetic potential \cite{SA02b,VKG10}. The suggestion that certain strain configurations would be able to induce pseudo…

Mesoscale and Nanoscale Physics · Physics 2018-09-27 Eduardo V. Castro , Miguel A. Cazalilla , María A. H. Vozmediano

We discuss the effect of elastic deformations on the electronic properties of bilayer graphene membranes. Distortions of the lattice translate into fictitious gauge fields in the electronic Dirac Hamiltonian which are explicitly derived…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Eros Mariani , Alexander J. Pearce , Felix von Oppen

Structural distortions in nano-materials can induce dramatic changes in their electronic properties. This situation is well manifested in graphene, a two-dimensional honeycomb structure of carbon atoms with only one atomic layer thickness.…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 N. -C. Yeh , C. -C. Hsu , M. L. Teague , J. -Q. Wang , D. A. Boyd , C. -C. Chen

Lattice deformations in graphene couple to the low-energy electronic degrees of freedom as effective scalar and gauge fields. Using molecular dynamics simulations, we show that the optical component of the displacement field, i.e., the…

Mesoscale and Nanoscale Physics · Physics 2025-04-11 Christophe De Beule , Robin Smeyers , Wilson Nieto Luna , E. J. Mele , Lucian Covaci

The electronic properties of a triaxially strained hexagonal graphene flake with either armchair or zig-zag edges are investigated using molecular dynamics simulations and tight-binding calculations. We found that: i) the pseudo-magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 M. Neek-Amal , L. Covaci , Kh. Shakouri , F. M. Peeters

Under the application of a force, a material will deform and, hence, the crystal lattice will experience strain. This induced strain will alter the electronic properties of the material. In particular, strain in graphene generates an…

Mesoscale and Nanoscale Physics · Physics 2014-07-08 J. A. Crosse

We analyze elastic deformations of graphene sheets which lead to effective gauge fields acting on the charge carriers. Corrugations in the substrate induce stresses, which, in turn, can give rise to mechanical instabilities and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 F. Guinea , B. Horovitz , P. Le Doussal

The experimental demonstration of pseudo-magnetic fields exceeding 300 T in graphene [2] nanobubbles represents considerable challenge for the present theory connecting the emergence of gauge fields due to strain in the underlying lattice.…

Mesoscale and Nanoscale Physics · Physics 2013-04-01 Victor Atanasov

In this study, we describe a new experimental approach based on constant-current scanning tunneling spectroscopy to controllably and reversibly pull freestanding graphene membranes up to 35 nm from their equilibrium height. In addition, we…

Mesoscale and Nanoscale Physics · Physics 2015-02-09 P. Xu , Y. Yang , S. D. Barber , M. L. Ackerman , J. K. Schoelz , D. Qi , I. A. Kornev , L. Dong , L. Bellaiche , S. Barraza-Lopez , P. M. Thibado

We analyze the effect of tensional strain in the electronic structure of graphene. In the absence of electron-electron interactions, within linear elasticity theory, and a tight-binding approach, we observe that strain can generate a bulk…

Materials Science · Physics 2009-07-15 Vitor M. Pereira , A. H. Castro Neto , N. M. R. Peres

We have measured the mechanical properties of few-layer graphene and graphite flakes that are suspended over circular holes. The spatial profile of the flake's spring constant is measured with an atomic force microscope. The bending…

Mesoscale and Nanoscale Physics · Physics 2012-03-16 Menno Poot , Herre S. J. van der Zant

Many of the properties of graphene are tied to its lattice structure, allowing for tuning of charge carrier dynamics through mechanical strain. The graphene electro-mechanical coupling yields very large pseudomagnetic fields for small…

Mesoscale and Nanoscale Physics · Physics 2016-01-06 Shuze Zhu , Joseph A. Stroscio , Teng Li

Very recently, the standard description of electrons in strained graphene has been completed by the explicit inclusion of the lattice deformation. Here, the effect of these lattice corrections is taken into account to find the mechanical…

Mesoscale and Nanoscale Physics · Physics 2013-03-08 M. Oliva-Leyva , Gerardo G. Naumis
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