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We develop an Effective Medium Theory to study the electrical transport properties of disordered graphene. The theory includes non-linear screening and exchange-correlation effects allowing us to consider experimentally relevant strengths…

Mesoscale and Nanoscale Physics · Physics 2009-06-20 Enrico Rossi , S. Adam , S. Das Sarma

Graphene is a zero-gap semiconductor, where the electrons propagating inside are described by the ultra-relativistic Dirac equation normally reserved for very high energy massless particles. In this work, we show that graphene under a…

Mesoscale and Nanoscale Physics · Physics 2025-09-24 J. Gbètoho , F. A. Dossa , G. Y. H. Avossevou

In Dirac materials, the low energy excitations behave like ultra-relativistic massless particles with linear energy dispersion. A particularly intriguing phenomenon arises with the intrinsic charge transport behavior at the Dirac point…

Mesoscale and Nanoscale Physics · Physics 2016-07-12 Piranavan Kumaravadivel , Xu Du

State-of-the-art simulation tools for non-equilibrium quantum transport systems typically take the current-carrier occupations to be described in terms of equilibrium distribution functions characterised by two different electro-chemical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. Mera , P. Bokes , R. W. Godby

The statistical properties of the carrier density profile of graphene in the ground state in the presence particle-particle interaction and random charged impurity in zero gate voltage has been recently obtained by Najafi \textit{et al.}…

Statistical Mechanics · Physics 2018-07-18 M. N. Najafi , N. Ahadpour , J. Cheraghalizadeh , H. Dashti-Naserabadi

We study the Aharonov-Bohm effect in an openended tube made of a graphene sheet whose dimensions are much larger than the interatomic distance in graphene. An external magnetic field vanishes on and in the vicinity of the graphene sheet and…

Mathematical Physics · Physics 2020-09-28 Mikhail I. Katsnelson , Vladimir Nazaikinskii

Conductivity of a disorder-free intrinsic graphene is studied to the first order in the long-range Coulomb interaction and is found to be \sigma=\sigma_0(1+0.01 g), where 'g' is the dimensionless ("fine structure") coupling constant. The…

Mesoscale and Nanoscale Physics · Physics 2009-02-25 E. G. Mishchenko

In this paper we present generic properties of quantum transport in mono-layer graphene. In the scheme of the Kubo-Geenwood formula, we compute the square spreading of wave packets of a given energy with is directly related to conductivity.…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Guy Trambly de Laissardiere , Didier Mayou

This work deals with the intrinsic and extrinsic properties of the graphene layers inside the graphite structure, in particular the influence of defects and interfaces. We discuss the evidence for ballistic transport found in mesoscopic…

Materials Science · Physics 2011-10-13 J. Barzola-Quiquia , A. Ballestar , S. Dusari , P. Esquinazi

Edge reconstruction modifies the electronic properties of finite graphene samples. We formulate a low-energy theory of the reconstructed zigzag edge by deriving the modified boundary condition to the Dirac equation. If the unit cell size of…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 J. A. M. van Ostaay , A. R. Akhmerov , C. W. J. Beenakker , M. Wimmer

The resistance at the charge neutral (Dirac) point was shown by Checkelsky et al in Phys. Rev. B 79, 115434 (2009) to diverge upon the application of a strong magnetic field normal to graphene. We argue that this divergence is the signature…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Chang-Yu Hou , Claudio Chamon , Christopher Mudry

We have investigated electron dynamics in top gated graphene by measuring the gate admittance of a diffusive graphene capacitor in a broad frequency range as a function of carrier density. The density of states, conductivity and diffusion…

Mesoscale and Nanoscale Physics · Physics 2011-03-24 E. Pallecchi , A. C. Betz , J. Chaste , G. Fève , B. Huard , T. Kontos , J. -M. Berroir , B. Plaçais

We study graphene in an external magnetic field within a noncommutative (NC) framework. A gauge-invariant NC Hamiltonian is derived, and the system is analyzed using the ladder-operator formalism, yielding deformed Landau levels and…

Mathematical Physics · Physics 2026-03-10 Ilyas Haouam

We show within a local self-consistent mean-field treatment that a random distribution of magnetic adatoms can open a robust gap in the electronic spectrum of graphene. The electronic gap results from the interplay between the nature of the…

Strongly Correlated Electrons · Physics 2011-10-11 T. G. Rappoport , M. Godoy , B. Uchoa , R. R dos Santos , A. H. Castro Neto

The ratio between mobility and diffusion parameters is derived for a Gaussian-like density of states. This steady-state analysis is expected to be applicable to a wide range of organic materials (polymers or small molecules) as it relies on…

Statistical Mechanics · Physics 2007-05-23 Yohai Roichman , Nir Tessler

We find experimentally that the optical sheet conductance of graphite per graphene layer is very close to $(\pi/2)e^2/h$, which is the theoretically expected value of dynamical conductance of isolated monolayer graphene. Our calculations…

Strongly Correlated Electrons · Physics 2009-11-13 A. B. Kuzmenko , E. van Heumen , F. Carbone , D. van der Marel

The luminescence caused by the interband transitions of hot carriers in graphene is considered theoretically. The dependencies of emission in mid- and near-IR spectral regions versus energy and concentration of hot carriers are analyzed;…

Mesoscale and Nanoscale Physics · Physics 2010-12-09 F. T. Vasko , O. G. Balev

We present an experimental study of nonlocal electrical signals near the Dirac point in graphene. The in-plane magnetic field dependence of the nonlocal signal confirms the role of spin in this effect, as expected from recent predictions of…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Julien Renard , Matthias Studer , Joshua A. Folk

We present a first-principles investigation of the phonon-induced electron self-energy in graphene. The energy dependence of the self-energy reflects the peculiar linear bandstructure of graphene and deviates substantially from the usual…

Materials Science · Physics 2007-08-23 Cheol-Hwan Park , Feliciano Giustino , Marvin L. Cohen , Steven G. Louie

We model the low energy dynamics of graphene in the continuum in terms of a version of Reduced Quantum Electrodynamics restricting fermions to a (2+1)-dimensional brane, whilst photons remain within the (3+1)-dimensional bulk. For charge…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Saúl Hernández-Ortiz , David Valenzuela , Alfredo Raya , Saúl Sánchez-Madrigal