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Electron scattering in the monolayer graphene with short-range impurities modelled by the annular well with a band-asymmetric potential has been considered. Band-asymmetry of the potential resulted in the mass (gap) perturbation in the…

Mesoscale and Nanoscale Physics · Physics 2010-02-23 Natalie E. Firsova , Sergey A. Ktitorov

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 consider a problem of obtaining information about the scattering potentials of the monolayer graphene sample using available experimental data on its resistance. We have in mind a development of the study describing super-high mobility…

Mesoscale and Nanoscale Physics · Physics 2019-07-26 N. E. Firsova. S. A. Ktitorov

Electron properties of graphene are described in terms of Dirac fermions. Here we thoroughly outline the elastic scattering theory for the two-dimensional massive Dirac fermions in the presence of an axially symmetric potential. While the…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 D. S. Novikov

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

Scattering problem for electrons in monolayer graphene with short-range perturbations of the types "local chemical potential" and "local gap" has been solved. Zero gap and non-zero gap kinds of graphene are considered. The determined…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Natalie E. Firsova , Sergey A. Ktitorov

The influence of electron-electron scattering on the distribution function and transport characteristics of intrinsic monolayer graphene is investigated via an ensemble Monte Carlo simulation. Due to the linear dispersion relation in the…

Mesoscale and Nanoscale Physics · Physics 2010-05-18 X. Li , E. A. Barry , J. M. Zavada , M. Buongiorno Nardelli , K. W. Kim

Patterning graphene with a spatially-periodic potential provides a powerful means to modify its electronic properties. Dramatic effects have been demonstrated in twisted bilayers where coupling to the resulting moir\'e-superlattice yields…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Yutao Li , Scott Dietrich , Carlos Forsythe , Takashi Taniguchi , Kenji Watanabe , Pilkyung Moon , Cory R. Dean

Using quasi-time dependent semi-classical transport theory in RTA, we obtained coupled current equations in the presence of time varying field and based on general scattering mechanism $\tau \propto \mathcal{E}^{\beta}$. We find that close…

Materials Science · Physics 2015-03-19 M. Rabiu , S. Y. Mensah , S. S. Abukari

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 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

Charge carriers in a graphene sheet, a single layer of graphite, exhibit much distinctive characteristics to those in other two-dimensional electronic systems because of their chiral nature. In this report, we focus on the observation of…

Mesoscale and Nanoscale Physics · Physics 2012-05-28 Dong-Keun Ki , Dongchan Jeong , Jae-Hyun Choi , Kee-Su Park , Hu-Jong Lee

The role of defect-induced zero-energy modes on charge transport in graphene is investigated using Kubo and Landauer transport calculations. By tuning the density of random distributions of monovacancies either equally populating the two…

Mesoscale and Nanoscale Physics · Physics 2013-05-13 Alessandro Cresti , Frank Ortmann , Thibaud Louvet , Dinh Van Tuan , Stephan Roche

We propose a unified description of transport in graphene with adsorbates that fully takes into account localization effects and loss of electronic coherence due to inelastic processes. We focus in particular on the role of the scattering…

Mesoscale and Nanoscale Physics · Physics 2013-11-28 Guy Trambly De Laissardière , Didier Mayou

We consider the Zitterbewegung of Dirac electrons in the monolayer graphene as the nonrelativistic analog of the phenomenon predicted by E. Schr\"odinger for the relativistic electrons in the free space. So we show that the Dirac electrons…

Mesoscale and Nanoscale Physics · Physics 2020-04-24 Natalie E. Firsova , Sergey A. Ktitorov

A two-dimensional periodic array of scatterers has been introduced to a single layer of graphene in the presence of an external magnetic field perpendicular to the graphene layer. The eigenvalue equation for such a system has been solved…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Godfrey Gumbs , Andrii Iurov , Danhong Huang , Paula Fekete , Liubov Zhemchuzhna

We study the effect of extended charge defects in electronic transport properties of graphene. Extended defects are ubiquitous in chemically and epitaxially grown graphene samples due to internal strains associated with the lattice…

Mesoscale and Nanoscale Physics · Physics 2011-04-18 A. Ferreira , Xiangfan Xu , Chang-Lin Tan , Sukang Bae , N. M. R. Peres , Byung-Hee Hong , Barbaros Ozyilmaz , A. H. Castro Neto

The electron-hole symmetry in graphene monolayer, which is analogous to the inherent symmetric structure between electrons and positrons of the Universe, plays a crucial role in the chirality and chiral tunnelling of massless Dirac…

Materials Science · Physics 2015-09-16 Ke-Ke Bai , Yi-Cong Wei , Jia-Bin Qiao , Si-Yu Li , Long-Jing Yin , Wei Yan , Jia-Cai Nie , Lin He

We present a kinetic equation approach to investigate dc transport properties of graphene in the diffusive regime considering long-range electron-impurity scattering. In our study, the effects of interband correlation (or polarization) on…

Materials Science · Physics 2009-11-13 S. Y. Liu , X. L. Lei , Norman J. M. Horing

We study the electric and thermal transport of the Dirac carriers in monolayer graphene using the Boltzmann-equation approach. Motivated by recent thermopower measurements [F. Ghahari, H.-Y.~Xie, T. Taniguchi, K. Watanabe, M.~S.~Foster, and…

Mesoscale and Nanoscale Physics · Physics 2016-05-03 Hong-Yi Xie , Matthew S. Foster
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