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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

Recently, an exotic quantum Hall ferromagnet with spin-filtered helical edge modes was observed in monolayer graphene on a high-dielectric constant substrate at moderate magnetic fields, withstanding temperatures of up to 110 Kelvin [L.…

Disordered Systems and Neural Networks · Physics 2023-09-13 Yue-Ran Ding , Dong-Hui Xu , Chui-Zhen Chen

We provide an updated study of some electronic properties of graphene nanoscrolls, exploiting a related curved space Dirac equation for the charge carriers. To this end, we consider an explicit parametrization in cylindrical coordinates,…

High Energy Physics - Theory · Physics 2022-05-19 Antonio Gallerati

The unconventional properties of graphene, with a massless Dirac band dispersion and large coherence properties, have raised a large interest for applications in nanoelectronics. In this work, we emphasize that graphene two dimensional…

Mesoscale and Nanoscale Physics · Physics 2008-08-27 Pierre Darancet , Valerio Olevano , Didier Mayou

Edge nanoscrolls are shown to strongly influence transport properties of suspended graphene in the quantum Hall regime. The relatively long arc length of the scrolls in combination with their compact transverse size results in formation of…

Mesoscale and Nanoscale Physics · Physics 2012-05-11 Alessandro Cresti , Michael M. Fogler , Francisco Guinea , A. H. Castro Neto , Stephan Roche

The electronic states of an electrostatically confined cylindrical graphene quantum dot and the electric transport through this device are studied theoretically within the continuum Dirac-equation approximation and compared with numerical…

Mesoscale and Nanoscale Physics · Physics 2011-08-12 G. Pal , W. Apel , L. Schweitzer

We investigate the diffusive electron-transport properties of charge-doped graphene ribbons and nanoribbons with imperfect edges. We consider different regimes of edge scattering, ranging from wide graphene ribbons with (partially)…

Graphene nanoribbons display an imperfectly understood transport gap. We measure transport through nanoribbon devices of several lengths. In nanoribbons of length greater than or equal to 250 nm we observe transport through multiple quantum…

Mesoscale and Nanoscale Physics · Physics 2009-01-02 Kathryn Todd , Hung-Tao Chou , Sami Amasha , David Goldhaber-Gordon

Man-made artificial graphene has attracted significant attention in the past few years due to the possibilities to construct designer Dirac fermions with unexpected topological properties and applications in nanoelectronics. Here we use a…

Materials Science · Physics 2014-12-10 Matti Ropo , Sami Paavilainen , Jaakko Akola , Esa Räsänen

Electronic properties of materials are commonly described by quasiparticles that behave as non-relativistic electrons with a finite mass and obey the Schroedinger equation. Here we report a condensed matter system where electron transport…

Mesoscale and Nanoscale Physics · Physics 2011-05-05 K. S. Novoselov , A. K. Geim , S. V. Morozov , D. Jiang , M. I. Katsnelson , I. V. Grigorieva , S. V. Dubonos , A. A. Firsov

We report an experimental investigation of the edge effect on the room-temperature transport in graphene nanoribbon and graphene sheet (both single-layer and bilayer). By measuring the resistance scaling behaviors at both low and high…

Mesoscale and Nanoscale Physics · Physics 2011-02-15 Guangyu Xu , Carlos M. Torres , Jianshi Tang , Jingwei Bai , Emil B. Song , Yu Huang , Xiangfeng Duan , Yuegang Zhang , Kang L. Wang

We experimentally investigate the charge induction mechanism across gated, narrow, ballistic graphene devices with different degrees of edge disorder. By using magnetoconductance measurements as the probing technique, we demonstrate that…

Our previous results on the nonperturbative calculations of the mean current and of the energy-momentum tensor in QED with the T-constant electric field are generalized to arbitrary dimensions. The renormalized mean values are found; the…

High Energy Physics - Theory · Physics 2012-12-24 S. P. Gavrilov , D. M. Gitman , N. Yokomizo

In this paper, we develop a theory of edge effects in graphene for its applications to nanoantennas in the terahertz, infrared, and visible frequency ranges. Its characteristic feature is selfconsistence reached due the formulation in terms…

Mesoscale and Nanoscale Physics · Physics 2023-05-26 Tomer Berghaus , Touvia Miloh , Oded Gottlieb , Gregory Slepyan

We investigate quantum transport in a normal/superconductor graphene heterostructure, including the possibility of an anisotropic pairing potential in the superconducting region. We find that under certain circumstances, the conductance…

Superconductivity · Physics 2009-11-13 J. Linder , A. Sudbø

Conductance fluctuations produced by the presence of disorder in zigzag and armchair graphene nanoribbons are studied. We show that quantum transport in zigzag nanoribbons takes place via edge states which are exponentially localized, as in…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Ioannis Kleftogiannis , Ilias Amanatidis , Victor A. Gopar

The computation of the optical conductivity of strained and deformed graphene is discussed within the framework of quantum field theory in curved spaces. The analytical solutions of the Dirac equation in an arbitrary static background…

Materials Science · Physics 2015-12-01 W. de Paula , a. Chaves , O. Oliveira , T. Frederico

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 ability to localize and manipulate individual quasiparticles in mesoscopic structures is critical in experimental studies of quantum mechanics and thermodynamics, and in potential quantum information devices, e.g., for topological…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Scott Mills , Anna Gura , Kenji Watanabe , Takashi Taniguchi , Matthew Dawber , Dmitri Averin , Xu Du

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…

Analysis of PDEs · Mathematics 2013-10-28 Raymond El Hajj , Florian Méhats