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Transport in graphene nanoribbons with an energy gap in the spectrum is considered in the presence of random charged impurity centers. At low carrier density, we predict and establish that the system exhibits a density inhomogeneity driven…

Mesoscale and Nanoscale Physics · Physics 2008-07-23 S. Adam , S. Cho , M. S. Fuhrer , S. Das Sarma

We discuss various scattering mechanisms for Dirac fermions in single-layer graphene. It is shown that scattering on a short-range potential (due to, for example, neutral impurities) is mostly irrelevant for electronic quality of graphene,…

Mesoscale and Nanoscale Physics · Physics 2007-12-06 M. I. Katsnelson , A. K. Geim

The chapter generalizes results on influence of uniaxial strain and adsorption on the electron states and charge transport or localization in graphene with different configurations of imperfections (point defects): resonant (neutral)…

We develop the theory of heat conductivity in supported graphene, accounting for coherent phonon scattering on disorder induced by an amorphous substrate. We derive spectra for in-plane and out-of-plane phonons in the framework of Green's…

Mesoscale and Nanoscale Physics · Physics 2017-03-03 Sergei Koniakhin , Oleg Utesov , Ivan Terterov , Anton Nalitov

Graphene is a fascinating material for exploring fundamental science questions as well as a potential building block for novel electronic applications. In order to realize the full potential of this material the fabrication techniques of…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Xu Du , Ivan Skachko , Eva Y. Andrei

Spectral and transport properties of doped (or gated) graphene with long range charged impurities are discussed within the self-consistent Born approximation. It is shown how, for impurity concentrations $n_{imp}\gtrsim n$ a finite DOS…

Mesoscale and Nanoscale Physics · Physics 2011-06-13 Fernando de Juan , Euyheon H. Hwang , Maria A. H. Vozmediano

We investigate charge and energy transport in monolayer graphene with smooth finite-range disorder, modeled by soft impurity potentials. Using a continuum Dirac model, we go beyond the Born approximation by computing the exact scattering…

Mesoscale and Nanoscale Physics · Physics 2026-05-27 Juan A. Cañas , Daniel A. Bonilla , J. C. Pérez-Pedraza , A. Martín-Ruiz

We investigate the effects of charged impurity distributions and carrier-carrier interactions on electronic transport in graphene on SiO$_2$ by employing a self-consistent coupled simulation of carrier transport and electrodynamics. We show…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 N. Sule , S. C. Hagness , I. Knezevic

The problem of a magnetic impurity, atomic or molecular, absorbed on top of a carbon atom in otherwise clean graphene is studied using the numerical renormalization group. The spectral, thermodynamic, and scattering properties of the…

Strongly Correlated Electrons · Physics 2009-01-27 P. S. Cornaglia , Gonzalo Usaj , C. A. Balseiro

It is shown that clustering of charged impurities on graphene can suppress their contribution to the resistivity by a large factor of about the number of impurities per cluster, while leaving the density dependence unchanged. If the cluster…

Mesoscale and Nanoscale Physics · Physics 2009-05-25 M. I. Katsnelson , F. Guinea , A. K. Geim

We consider a double-layer system made of two parallel bilayer graphene sheets separated by a dielectric medium. We calculate the finite-temperature electrical conductivity of the first layer due to charged impurities located in two layers.…

Mesoscale and Nanoscale Physics · Physics 2021-03-09 Dang Khanh Linh , Nguyen Quoc Khanh

We investigate the charge transport properties of planar amorphous graphene that is fully topologically disordered, in the form of sp2 three-fold coordinated networks consisting of hexagonal rings, but also including many pentagons and…

Mesoscale and Nanoscale Physics · Physics 2012-09-27 Dinh Van Tuan , Avishek Kumar , Stephan Roche , Frank Ortmann , M. F. Thorpe , Pablo Ordejon

We theoretically investigate the impurity levels and exchange interaction between magnetic impurities in graphene driven by an off-resonant circularly polarized light field. Our analysis captures the non-perturbative effects resulting from…

Mesoscale and Nanoscale Physics · Physics 2022-08-29 Modi Ke , Wang-Kong Tse

The influence of magnetic impurities on the transport properties of graphene is investigated in the regime of strong applied electric fields. As a result of electron-hole pair creation, the response becomes nonlinear and dependent on the…

Mesoscale and Nanoscale Physics · Physics 2014-09-02 Arnaud Demion , Alberto D. Verga

In this work the conducting properties of graphene lattice with a particular concentration of defect (5\% and 10\%) has been studied. The real space block recursion method introduced by Haydock et al. has been used in presence of the random…

Materials Science · Physics 2021-04-09 Banasree Sadhukhan , Subhadeep Bandyopadhyay , Arabinda Nayak , Abhijit Mookerjee

We present a trajectory-resolved framework for charge transport in graphene and related two-dimensional carbon systems beyond the ideal ballistic and fully coherent limits. Transport is described by kinetic Monte Carlo hopping on a…

Mesoscale and Nanoscale Physics · Physics 2026-04-20 J. P. Dadario Pereira , Raphael Tromer , Luiz A. Ribeiro Junior , Douglas S. Galvao

We derive analytical expressions for the conductivity of bilayer graphene (BLG) using the Boltzmann approach within the the Born approximation for a model of Gaussian disorders describing both short- and long-range impurity scattering. The…

Mesoscale and Nanoscale Physics · Physics 2011-09-30 Hengyi Xu , T. Heinzel , I. V. Zozoulenko

We introduce a quasi-relativistic theory of quantum transport in graphene monolayer. It is based on the Dirac -- Hartry -- Fock self-consistent field approximation, assumption on lattice anti-ferromagnetic ordering and an approach…

Mesoscale and Nanoscale Physics · Physics 2014-01-28 Halina V. Grushevskaya , George Krylov

We study scattering of waves by impurities in strongly precompressed granular chains. We explore the linear scattering of plane waves and identify a closed-form expression for the reflection and transmission coefficients for the scattering…

Pattern Formation and Solitons · Physics 2016-06-01 Alejandro J. Martínez , Hiromi Yasuda , Eunho Kim , P. G. Kevrekidis , Mason A. Porter , Jinkyu Yang

We study numerically the effects of edge and bulk disorder on the conductance of graphene nanoribbons. We compute the conductance suppression due to localization induced by edge scattering. We find that even for weak edge roughness,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Eduardo R. Mucciolo , Antonio H. Castro Neto , Caio H. Lewenkopf