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We present a theory of electronic transport in graphene in the presence of randomly placed adsorbates. Our analysis predicts a marked asymmetry of the conductivity about the Dirac point, as well as a negative weak-localization…

Mesoscale and Nanoscale Physics · Physics 2008-11-05 John P. Robinson , Henning Schomerus , Laszlo Oroszlany , Vladimir I. Fal'ko

Relativistic massless charged particles in a two-dimensional conductor can be guided by a one-dimensional electrostatic potential, in an analogous manner to light guided by an optical fiber. We use a carbon nanotube to generate such a…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Austin Cheng , Takashi Taniguchi , Kenji Watanabe , Philip Kim , Jean-Damien Pillet

The influence of carrier density on magnetism in a zigzag graphene nanoribbon is studied in a $\pi$-orbital Hubbard-model mean-field approximation. Departures from half-filling alter the magnetism, leading to states with charge density…

Mesoscale and Nanoscale Physics · Physics 2011-01-31 J. Jung , A. H. MacDonald

We investigate the role played by electron traps on adiabatic charge transport for graphene nanoribbons in the presence of an acoustically induced longitudinal surface acoustic wave (SAW) potential. Due to the weak longitudinal SAW-induced…

Mesoscale and Nanoscale Physics · Physics 2012-12-24 Oleksiy Roslyak , Upali Aparajita , Godfrey Gumbs , Danhong Huang

We report the electronic properties of two-dimensional systems made of graphene nanoribbons which are patterned with ad-atoms in two separated regions. Due to the extra electronic confinement induced by the presence of the impurities, we…

Mesoscale and Nanoscale Physics · Physics 2015-09-25 J. W. González , L. Rosales , M. Pacheco , A. Ayuela

A yet unexplored area in graphene electronics is the field of quantum ballistic transport through graphene nanostructures. Recent developments in the preparation of high mobility graphene are expected to lead to the experimental…

We study the confinement of Dirac fermions in armchair graphene nanoribbons by means of a quantum-dot-type electrostatic potential. With the use of specific projection operators, we find exact solutions for some bound states that satisfy…

Mesoscale and Nanoscale Physics · Physics 2022-04-13 Vit Jakubsky , Sengul Kuru , Javier Negro

We study narrow zigzag graphene nanoribbons (ZGNRs), employing density functional theory (DFT) simulations and the tight-binding (TB) method. The main result of these calculations is the braiding of the conduction and valence bands,…

Mesoscale and Nanoscale Physics · Physics 2018-07-25 J. H. Correa , A. Pezo , M. S. Figueira

Recent experimental findings and theoretical predictions suggest that nitrogen-doped CVD-grown graphene may give rise to electronic band gaps due to impurity distributions which favour segregation on a single sublattice. Here we demonstrate…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 Thomas Aktor , Antti-Pekka Jauho , Stephen R. Power

By combining analytic and numerical methods, edge states on a finite width graphene ribbon in a magnetic field are studied in the framework of low-energy effective theory that takes into account the possibility of quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2009-03-25 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy , C. M. Wyenberg

The low-energy spectrum of graphene nanoribbons with armchair edges (armchair nanoribbons) is described as the superposition of two non-equivalent Dirac points of graphene. In spite of the lack of well-separated two valley structures, the…

Mesoscale and Nanoscale Physics · Physics 2009-09-07 Masayuki Yamamoto , Yositake Takane , Katsunori Wakabayashi

Within the tight binding approximation, we study the dependence of the electronic band structure and of the optical conductivity of a graphene single layer on the modulus and direction of applied uniaxial strain. While the Dirac cone…

Mesoscale and Nanoscale Physics · Physics 2010-01-15 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

Quantum-dot states in graphene nanoribbons (GNR) were calculated using density-functional theory, considering the effect of the electric field of gate electrodes. The field is parallel to the GNR plane and was generated by an inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2012-09-25 Tobias Burnus , Gustav Bihlmayer , Daniel Wortmann , Yuriy Mokrousov , Stefan Blügel , Klaus Michael Indlekofer

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 demonstrate the existence of localized states in close vicinity of a linear defect in graphene. These states have insulating or conducting character. Insulating states form a flat band, while conducting states present a slowdown of the…

Mesoscale and Nanoscale Physics · Physics 2020-06-03 Francesco Romeo

We investigate, in the framework of macroscopic Dirac model, the spectrum, charge density and conductivity of metallic armchair graphene nanoribbons in presence of different mass terms. We reveal the conditions and symmetries governing the…

Mesoscale and Nanoscale Physics · Physics 2018-04-11 C. G. Beneventano , I. V. Fialkovsky , M. Nieto , E. M. Santangelo

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

Non-equilibrium two-parameter pumping transport through graphene ribbons, attached to reservoirs is described. A tight-binding model is solved using Keldysh formalism, and the crossover between adiabatic and non-adiabatic regimes is…

Mesoscale and Nanoscale Physics · Physics 2012-03-20 Tejinder Kaur , Liliana Arrachea , Nancy Sandler

Armchair graphene nanoribbons with different proportions of edge oxygen atoms are investigated by using crystal orbital method based on density functional theory. All the nanoribbons are energetically favorable, although buckled edges are…

Materials Science · Physics 2014-11-07 Hongyu Ge , Guo Wang , Yi Liao

The edges of graphene and graphene like systems can host localized states with evanescent wave function with properties radically different from those of the Dirac electrons in bulk. This happens in a variety of situations, that are…

Mesoscale and Nanoscale Physics · Physics 2016-09-20 J. L. Lado , N. Garcia-Martinez , J. Fernandez-Rossier