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Related papers: Scattering in graphene with impurities : A low ene…

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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

The conductivity of graphene samples with various levels of disorder is investigated for a set of specimens with mobility in the range of $1-20\times10^3$ cm$^2$/V sec. Comparing the experimental data with the theoretical transport…

Mesoscale and Nanoscale Physics · Physics 2008-01-02 Y. -W. Tan , Y. Zhang , K. Bolotin , Y. Zhao , S. Adam , E. H. Hwang , S. Das Sarma , H. L. Stormer , P. Kim

The paper reports a theoretical study of scattering of electrons by edges in graphene and its effect on Raman scattering. First, effective models are discussed for translationally invariant and rough edges. Second, they are used in a…

Materials Science · Physics 2009-05-28 D. M. Basko

Intervalley charged-impurity scattering processes are examined. It is found that the scattering probability is enhanced due to the Coulomb interaction with the impurity by the Sommerfield factor $F_Z\propto \epsilon^{2\sqrt{1-4g^2}-2}$,…

Mesoscale and Nanoscale Physics · Physics 2014-12-30 L. S. Braginsky , M. V. Entin

Despite extensive existing studies, a complete understanding of the role of disorder in affecting the physical properties of two-dimensional Dirac fermionic systems remains a standing challenge, largely due to obstacles encountered in…

Mesoscale and Nanoscale Physics · Physics 2023-08-04 Bo Fu , Yanru Chen , Weiwei Chen , Wei Zhu , Ping Cui , Qunxiang Li , Zhenyu Zhang , Qinwei Shi

We discuss the effect of certain types of static disorder, like that induced by curvature or topological defects, on the quantum correction to the conductivity in graphene. We find that when the intervalley scattering time is long or…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. F. Morpurgo , F. Guinea

We present the complete formalism that describes scattering in graphene at low-energies. We begin by analyzing the real-space free Green's function matrix, and its analytical expansions at low-energy, carefully incorporating the discrete…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Cristina Bena

A system of generalized kinetic equations for the distribution functions of two-dimensional Dirac fermions scattered by impurities is derived in the Born approximation with respect to short-range impurity potential. It is proven that the…

Mesoscale and Nanoscale Physics · Physics 2011-01-14 M. Auslender , M. I. Katsnelson

We calculate the ground-state energy of Dirac electrons in graphene in the presence of disorder. We take randomly distributed charged impurities at a fixed distance from the graphene sheet and surface fluctuations (ripples) as the main…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. Asgari , M. M. Vazifeh , M. R. Ramezanali , E. Davoudi , B. Tanatar

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

We present exact analytical and numerical results for the electronic spectra and the Friedel oscillations around a substitutional impurity atom in a graphene lattice. A chemical dopant in graphene introduces changes in the on-site potential…

We study rectangular graphene flakes using mean field states as the basis for a configuration interaction calculation, which allows us to analyze the low lying electronic excited states including electron correlations beyond the mean field…

Materials Science · Physics 2018-01-18 Z. S. Sadeq , Rodrigo A. Muniz , J. E. Sipe

The derived by us earlier electron scattering matrix for the short-range defects in monolayer graphene is applyed to description of the resistivity electron density dependence. It is argued that large charged defect density is unlikely in…

Mesoscale and Nanoscale Physics · Physics 2011-11-04 Natalie E. Firsova , Sergey A. Ktitorov

We reduce the dimensionless interaction strength in graphene by adding a water overlayer in ultra-high vacuum, thereby increasing dielectric screening. The mobility limited by long-range impurity scattering is increased over 30 percent, due…

Materials Science · Physics 2008-10-06 C. Jang , S. Adam , J. -H. Chen , E. D. Williams , S. Das Sarma , M. S. Fuhrer

We address the problem of an unscreened Coulomb charge in graphene, and calculate the local density of states and displaced charge as a function of energy and distance from the impurity. This is done non-perturbatively in two different…

Strongly Correlated Electrons · Physics 2007-10-17 Vitor M. Pereira , Johan Nilsson , A. H. Castro Neto

Screening of charge impurities in graphene is analyzed using the exact solution for vacuum polarization obtained from the massless Dirac-Kepler problem. For the impurity charge below certain critical value no density perturbation is found…

Mesoscale and Nanoscale Physics · Physics 2007-12-09 A. V. Shytov , M. I. Katsnelson , L. S. Levitov

We study the scattering of Dirac electrons of circular graphene quantum dot with mass-inverted subject to electrostatic potential. The obtained solutions of the energy spectrum are used to determine the scattering coefficients at the…

Mesoscale and Nanoscale Physics · Physics 2022-08-10 Fatima Belokda , Ahmed Jellal , El Houssine Atmani

Introducing quasiparticle anisotropy in graphene via uniaxial strain has a profound effect on the polarization charge density induced by external impurities, both Coulomb and short-range. In particular, the charge distribution induced by a…

Mesoscale and Nanoscale Physics · Physics 2023-12-21 Mohamed M. Elsayed , Sang Wook Kim , Juan M. Vanegas , Valeri N. Kotov

We show that the manifestation of quantum interference in graphene is very different from that in conventional two-dimensional systems. Due to the chiral nature of charge carriers, it is sensitive not only to inelastic, phase-breaking…

Mesoscale and Nanoscale Physics · Physics 2008-02-09 F. V. Tikhonenko , D. W. Horsell , R. V. Gorbachev , A. K. Savchenko

We study charged impurity scattering and static screening in a top-gated substrate-supported graphene nanostructure. Our model describes how boundary conditions can be incorporated into scattering, sheds light on the dielectric response of…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Zhun-Yong Ong , Massimo V. Fischetti