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The linear conductance spectrum of a metallic graphene junction formed by interconnecting two gapless graphene nanoribbons is calculated. A strong conductance suppression appears in the vicinity of the Dirac point. We found that such a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Haidong Li , Lin Wang , Yisong Zheng

Minimal conductivity of a single undoped graphene layer is known to be of the order of the conductance quantum, independent of the electron velocity. We show that this universality does not survive electron-electron interaction which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko

We consider the relationship between the tight-binding Hamiltonian of the two-dimensional honeycomb lattice of carbon atoms with nearest neighbor hopping only and the 2+1 dimensional Hamiltonian of quantum electrodynamics which follows in…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

Recently, there has been great interest in the phenomenon of severe violation of the Wiedemann-Franz law in graphene Dirac fluids around 75 K, due to the strong coupling relativistic plasma near the neutral point, where traditional…

High Energy Physics - Theory · Physics 2024-02-12 C. E. Liu , S. G. Zhang

It has been recently demonstrated experimentally that graphene, or single-layer carbon, is a gapless semiconductor with massless Dirac energy spectrum. A finite conductivity per channel of order of $e^{2}/h$ in the limit of zero temperature…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Katsnelson

Graphene, renowned for its exceptional electronic and optical properties as a robust 2D material, traditionally lacks electronic correlation effects. Proximity coupling offers a promising method to endow quantum materials with novel…

Strongly Correlated Electrons · Physics 2025-08-14 Chitran Ghosal , Siheon Ryee , Zamin Mamiyev , Niklas Witt , Tim O. Wehling , Christoph Tegenkamp

Quantum point contacts (QPCs) are cornerstones of mesoscopic physics and central building blocks for quantum electronics. Although the Fermi wave-length in high-quality bulk graphene can be tuned up to hundreds of nanometers, the…

Mesoscale and Nanoscale Physics · Physics 2016-06-08 B. Terrés , L. A. Chizhova , F. Libisch , J. Peiro , D. Jörger , S. Engels , A. Girschik , K. Watanabe , T. Taniguchi , S. V. Rotkin , J. Burgdörfer , C. Stampfer

The complete theory of electrical conductivity of graphene at arbitrary temperature is developed with taken into account mass-gap parameter and chemical potential. Both the in-plane and out-of-plane conductivities of graphene are expressed…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov

Optical conductivity of graphene is studied using Quantum Monte Carlo calculations. We start from Euclidean current-current correlator and extract $\sigma (\omega)$ from Green-Kubo relations using Backus-Gilbert method. Calculations were…

Strongly Correlated Electrons · Physics 2016-08-23 D. L. Boyda , V. V. Braguta , M. I. Katsnelson , M. V. Ulybyshev

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

We experimentally investigate electrical transport properties of graphene, which is a two dimensional (2D) conductor with relativistic energy dispersion relation. By investigating single- and bi-layer graphene devices with different aspect…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Miao , S. Wijeratne , U. Coskun , Y. Zhang , C. N. Lau

We study the ground-state properties of a double layer graphene system with the Coulomb interlayer electron-electron interaction modeled within the random phase approximation. We first obtain an expression of the quantum capacitance of a…

Materials Science · Physics 2017-09-06 Fariborz Parhizgar , Alireza Qaiumzadeh , Reza Asgari

Close to the Dirac point, graphene is expected to exist in quantum critical Dirac fluid state, where the flow of both charge and heat can be described with a dc electrical conductivity $\sigma_\mathrm{Q}$, and thermodynamic variables such…

We solve the Dirac equation, which describes charge massless chiral relativistic carriers in a two-dimensional graphene. We have identified and analysed a novel pseudospin-dependent scattering effect. We compute the tunneling conductance…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 Dima Bolmatov , D. V. Zavialov

We present calculations of electronic quantum transport in graphene nanoribbons with adsorbed H, F, OH and O, based on a tight binding model derived from extended Huckel theory. The relaxed atomic geometries of the adsorbates and graphene…

Mesoscale and Nanoscale Physics · Physics 2011-06-29 S. Ihnatsenka , G. Kirczenow

A recent surprising finding that electronic compressibility measured experimentally in monolayer graphene can be described solely in terms of the kinetic energy [J. Martin, et al., Nat. Phys. 4, 144 (2008)] is explained theoretically as a…

Mesoscale and Nanoscale Physics · Physics 2009-08-20 D. S. L. Abergel , Pekka Pietiläinen , Tapash Chakraborty

We discuss the residual carrier density (n*) near the Dirac point (DP) in graphene estimated by quantum capacitance (CQ) and conductivity measurements. The CQ at the DP has a finite value and is independent of the temperature. A similar…

Materials Science · Physics 2013-07-04 K. Nagashio , T. Nishimura , A. Toriumi

We study conductance across a twisted bilayer graphene coupled to single-layer graphene leads in two setups: a flake of graphene on top of an infinite graphene ribbon and two overlapping semi-infinite graphene ribbons. We find conductance…

Mesoscale and Nanoscale Physics · Physics 2020-07-30 Hadi Z. Olyaei , Bruno Amorim , Pedro Ribeiro , Eduardo V. Castro

The exact vanishing of the interaction corrections to the zero temperature and zero frequency conductivity of graphene in the presence of weak short range interactions is rigorously established.

Strongly Correlated Electrons · Physics 2015-05-20 Alessandro Giuliani , Vieri Mastropietro , Marcello Porta

We study Coulomb drag in double-layer graphene near the Dirac point. A particular emphasis is put on the case of clean graphene, with transport properties dominated by the electron-electron interaction. Using the quantum kinetic equation…

Mesoscale and Nanoscale Physics · Physics 2013-06-26 M. Schütt , P. M. Ostrovsky , M. Titov , I. V. Gornyi , B. N. Narozhny , A. D. Mirlin