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We study the electronic states of graphene in piecewise constant potentials using the continuum Dirac equation appropriate at low energies, and a transfer matrix method. For superlattice potentials, we identify patterns of induced Dirac…

介观与纳米尺度物理 · 物理学 2015-05-18 D. P. Arovas , L. Brey , H. A. Fertig , Eun-Ah Kim , K. Ziegler

This review aims at a theoretical discussion of Dirac points in two-dimensional systems. Whereas Dirac points and Dirac fermions are prominent low-energy electrons in graphene (two-dimensional graphite), research on Dirac fermions in…

介观与纳米尺度物理 · 物理学 2014-10-16 Mark O. Goerbig , Gilles Montambaux

A method for determining the type of charge carrier, electron or hole, which is transferred from metal contacts to graphene, is described. The Dirac point is found to shift toward more negative (positive) gate voltages for electron (hole)…

材料科学 · 物理学 2011-02-16 Ryo Nouchi , Tatsuya Saito , Katsumi Tanigaki

We investigate the low-energy electronic transport across grain boundaries in graphene ribbons and infinite flakes. Using the recursive Green's function method, we calculate the electronic transmission across different types of grain…

介观与纳米尺度物理 · 物理学 2015-07-29 C. J. Páez , J. N. B. Rodrigues , A. L. C. Pereira , N. M. R. Peres

The remarkable transport properties of graphene follow not only from the the Dirac-like energy dispersion, but also from the chiral nature of its excitations, which makes unclear the limits of applicability of the standard semiclassical…

介观与纳米尺度物理 · 物理学 2009-11-13 E. Cappelluti , L. Benfatto

We report a thermoelectric study of graphene in both zero and applied magnetic fields. As a direct consequence of the linear dispersion of massless particles, we find that the Seebeck coefficient Sxx diverges with 1 /, where n2D is the…

介观与纳米尺度物理 · 物理学 2015-05-13 Peng Wei , Wenzhong Bao , Yong Pu , Chun Ning Lau , Jing Shi

The charge carrier density in graphene on a dielectric substrate such as SiO$_2$ displays inhomogeneities, the so-called charge puddles. Because of the linear dispersion relation in monolayer graphene, the puddles are predicted to grow near…

介观与纳米尺度物理 · 物理学 2016-03-30 S. Samaddar , I. Yudhistira , S. Adam , H. Courtois , C. B. Winkelmann

We present and analyze two mathematical models for the self consistent quantum transport of electrons in a graphene layer. We treat two situations. First, when the particles can move in all the plane $\RR^2$, the model takes the form of a…

偏微分方程分析 · 数学 2013-10-28 Raymond El Hajj , Florian Méhats

We investigate the ballistic electron transport in a monolayer graphene with configurational averaged impurities, located between two clean graphene leads. It is shown that the electron transmission are strongly dependent on the…

介观与纳米尺度物理 · 物理学 2014-05-28 Juan Sebastian Ardenghi , Pablo Bechthold , Estela Gonzalez , Paula Jasen , Alfredo Juan

We study the transport properties of a neutral graphene sheet with curved regions induced or stabilized by topological defects. The proposed model gives rise to Dirac fermions in a random magnetic field and in the random space dependent…

无序系统与神经网络 · 物理学 2013-05-29 Alberto Cortijo , Marí A. H. Vozmediano

In this review, we provide an account of the recent progress in understanding electronic transport in disordered graphene systems. Starting from a theoretical description that emphasizes the role played by band structure properties and…

介观与纳米尺度物理 · 物理学 2015-05-19 Eduardo R. Mucciolo , Caio H. Lewenkopf

In the paper we deal with ballistic heat transport in a graphene lattice subjected to a point heat source. It is assumed that a graphene sheet is suspended under tension in a viscous gas. We use the model of a harmonic polyatomic (more…

介观与纳米尺度物理 · 物理学 2022-05-11 Serge N. Gavrilov , Anton M. Krivtsov

Based on the standard tight-binding model of the graphene $\pi$-band electronic structure, the extended H\"uckel model for the adsorbate and graphene carbon atoms, and spin splittings estimated from density functional theory (DFT), the…

介观与纳米尺度物理 · 物理学 2015-06-05 Alireza Saffarzadeh , George Kirczenow

Different scattering mechanisms in graphene are explored and conductivity is calculated within the Boltzmann transport theory. We provide results for short-range scattering using the Random Phase Approximation for electron screening, as…

介观与纳米尺度物理 · 物理学 2008-03-15 Shaffique Adam , E. H. Hwang , S. Das Sarma

In this article, we propose a new numerical model for computation of the transport of electrons in a graphene device. The underlying quantum model for graphene is a massless Dirac equation, whose eigenvalues display a conical singularity…

数学物理 · 物理学 2016-11-23 Clotilde Fermanian Kammerer , Florian Méhats

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 show that the generalized diffusion coefficient of a subdiffusive intermittent map is a fractal function of control parameters. A modified continuous time random walk theory yields its coarse functional form and correctly describes a…

混沌动力学 · 物理学 2015-06-26 N. Korabel , A. V. Chechkin , R. Klages , I. M. Sokolov , V. Yu. Gonchar

We obtain the statistics of the intensity, transmission and conductance for scalar electromagnetic waves propagating through a disordered collection of scatterers. Our results show that the probability distribution for these quantities, x,…

无序系统与神经网络 · 物理学 2007-05-23 Gabriel A. Cwilich , Fredy R. Zypman

Graphene is an ideal material to study fundamental Coulomb- and phonon-induced carrier scattering processes. Its remarkable gapless and linear band structure opens up new carrier relaxation channels. In particular, Auger scattering bridging…

Transport properties of a two-band system with spectral nodes are studied in the presence of random scattering. Starting from a Grassmann functional integral, we derive a bosonic representation that is based on random phase fluctuations.…

无序系统与神经网络 · 物理学 2015-01-22 K. Ziegler