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We study the low-energy electronic transport across periodic extended defects in graphene. In the continuum low-energy limit, such defects act as infinitesimally thin stripes separating two regions where Dirac Hamiltonian governs the…

Mesoscale and Nanoscale Physics · Physics 2012-12-14 J. N. B. Rodrigues , N. M. R. Peres , J. M. B. Lopes dos Santos

We compute the transmission of an electron through an impurity in polyacene. An analytical expression for the transmission coefficient is found. For simplicity the disorder is confined to a single unit cell, but the generalization to…

Mesoscale and Nanoscale Physics · Physics 2008-05-19 N. M. R. Peres , F. Sols

We study the scattering of graphene quasiparticles by topological defects, represented by holes, pentagons and heptagons. For the case of holes, we obtain the phase shift and found that at low concentration they appear to be irrelevant for…

Strongly Correlated Electrons · Physics 2010-10-19 Jakson M. Fonseca , Winder A. Moura-Melo , Afranio R. Pereira

We analyze the scattering sector of the Hamiltonians for both gapless and gapped graphene in the presence of a charge impurity using the 2D Dirac equation, which is applicable in the long wavelength limit. We show that for certain range of…

Mesoscale and Nanoscale Physics · Physics 2011-04-07 Kumar S. Gupta , Andjelo Samsarov , Siddhartha Sen

We present a numerically efficient and accurate Multiple Scattering formalism, which is a generalization of the Multiple Scattering method with a truncated basis set [X. -G. Zhang and W. H. Butler, Phys. Rev. B 46,7433 (1992)]. Compared to…

Quantum Physics · Physics 2016-05-03 Junqing Xu , Keisuke Hatada , Didier Sébilleau , Li Song

We investigate the diffusive electron-transport properties of charge-doped graphene ribbons and nanoribbons with imperfect edges. We consider different regimes of edge scattering, ranging from wide graphene ribbons with (partially)…

We have recently shown that by using a scaling approach for randomly distributed topological defects in graphene, reliable estimates for transmission properties of macroscopic samples can be calculated based even on single-defect…

Mesoscale and Nanoscale Physics · Physics 2012-12-17 Karri Saloriutta , Andreas Uppstu , Ari Harju , Martti J. Puska

Defects play a key role in the electronic structure of graphene layers flat or curved. Topological defects in which an hexagon is replaced by an n-sided polygon generate long range interactions that make them different from vacancies or…

Strongly Correlated Electrons · Physics 2008-11-26 Alberto Cortijo , María A. H. Vozmediano

We study the scattering of graphene quasiparticles by topological defects, represented by holes, pentagons and heptagons. For the case of holes, we obtain the phase shift and found that at low concentration they appear to be irrelevant for…

Strongly Correlated Electrons · Physics 2010-12-17 Jakson M. Fonseca , Winder A. Moura-Melo , Afranio R. Pereira

The electron scattering by the short-range defects in the monolayer graphene is considered in the framework of the flatland model. We analyze the effect of this scattering on the electronic resistivity of the monolayer graphene (direct…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 N Firsova , S Ktitorov

We show that transport in low-dimensional carbon structures with finite concentrations of scatterers can be modeled by utilising scaling theory and effective cross sections. Our reults are based on large scale numerical simulations of…

Mesoscale and Nanoscale Physics · Physics 2012-01-06 Andreas Uppstu , Karri Saloriutta , Ari Harju , Martti Puska , Antti-Pekka Jauho

A formalism is proposed to study the electronic and transport properties of graphene sheets with corrugations as the one recently synthesized. The formalism is based on coupling the Dirac equation that models the low energy electronic…

Strongly Correlated Electrons · Physics 2008-11-26 Alberto Cortijo , María A. H. Vozmediano

We study the scattering of graphene quasiparticles by topological defects, represented by holes, pentagons and heptagons. For holes, we found that at low concentration they give a negligible contribution to the resistivity. Whenever…

Strongly Correlated Electrons · Physics 2011-08-05 J. M. Fonseca , W. A. Moura-Melo , A. R. Pereira

A theoretical study is presented on the scattering of graphene surface plasmons by defects in the graphene sheet they propagate in. These defects can be either natural (as domain boundaries, ripples and cracks, among others) or induced by…

Mesoscale and Nanoscale Physics · Physics 2013-05-31 Juan L. Garcia-Pomar , Alexey Yu. Nikitin , Luis Martin-Moreno

A novel efficient method to calculate the scattering matrix (SM) of arbitrary tight-binding Hamiltonians is proposed, including cases with multiterminal structures. In particular, the SM of two kind of fundamental structures are given,…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Carlos Ramirez , Luis A. Medina-Amayo

The electronic and transport properties of an extended linear defect embedded in a zigzag nanoribbon of realistic width are studied, within a tight binding model approach. Our results suggest that such defect profoundly modify the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 D. A. Bahamon , A. L. C. Pereira , P. A. Schulz

We address a simple but fundamental issue arising in the study of graphene, as well as of other systems that have a crystalline structure with more than one atom per unit cell. For these systems, the choice of the tight-binding basis is not…

Mesoscale and Nanoscale Physics · Physics 2010-04-15 Cristina Bena , Gilles Montambaux

We consider the nonlinear terahertz response of n-doped monolayer graphene at room temperature using a microscopic theory of carrier dynamics. Our tight-binding model treats the carrier-field interaction in the length gauge, includes phonon…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 L. G. Helt , M. M. Dignam

The structure of finite-area topological defects in graphene is described in terms of both the direct honeycomb lattice and its dual triangular lattice. Such defects are equivalent to cutting out a patch of graphene and replacing it with a…

Materials Science · Physics 2012-03-09 Eric Cockayne

The scattering theory of the integrable statistical models can be generalized to the case of systems with extended lines of defect. This is done by adding the reflection and transmission amplitudes for the interactions with the line of…

High Energy Physics - Theory · Physics 2009-10-28 G. Delfino , G. Mussardo , P. Simonetti
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