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We have investigated the main scattering mechanisms affecting mobility in graphene nanoribbons using detailed atomistic simulations. We have considered carrier scattering due to acoustic and optical phonons, edge roughness, single defects,…

Mesoscale and Nanoscale Physics · Physics 2011-03-03 Alessandro Betti , Gianluca Fiori , Giuseppe Iannaccone

We measured the conductance fluctuation of bi- and trilayer graphene devices prepared on mechanical exfoliated graphene by an all-dry, lithography-free process using an ultrathin quartz filament as a shadow mask. Reproducible fluctuations…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Neal E. Staley , Conor Puls , Ying Liu

We report on a numerical study of quantum transport in disordered two dimensional graphene and graphene nanoribbons. By using the Kubo and the Landauer approaches, transport length scales in the diffusive (mean free path, charge mobilities)…

Mesoscale and Nanoscale Physics · Physics 2011-05-17 Aurelien Lherbier , Blanca Biel , Yann-Michel Niquet , Stephan Roche

We investigate electronic transport in lithographically patterned graphene ribbon structures where the lateral confinement of charge carriers creates an energy gap near the charge neutrality point. Individual graphene layers are contacted…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Melinda Y. Han , Barbaros Oezyilmaz , Yuanbo Zhang , Philip Kim

We revisit the problem of electron transport in clean and disordered zigzag graphene nanoribbons, and expose numerous hitherto unknown peculiar properties of these systems at zero energy, where both sublattices decouple because of chiral…

Mesoscale and Nanoscale Physics · Physics 2014-12-16 J. M. Luck , Y. Avishai

We study the DC conductivity of a weakly disordered 2D electron gas with two bands and spectral nodes, employing the field theoretical version of the Kubo--Greenwood conductivity formula. Disorder scattering is treated within the standard…

Mesoscale and Nanoscale Physics · Physics 2016-06-09 Andreas Sinner , Klaus Ziegler

We study the quantization of Dirac fermions in lithographically defined graphene nanoconstrictions. We observe quantized conductance in single nanoconstrictions fabricated on top of a thin hexamethyldisilazane layer over a Si/SiO_2 wafer.…

We study the transport properties of graphene nanoribbons of standardized 30 nm width and varying lengths. We find that the extent of the gap observed in transport as a function of Fermi energy in these ribbons (the "transport gap") does…

Mesoscale and Nanoscale Physics · Physics 2010-03-11 Patrick Gallagher , Kathryn Todd , David Goldhaber-Gordon

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

We consider gated graphene nanoribbons subject to Berry-Mondragon boundary conditions in the presence of weak impurities. Using field--theoretical methods, we calculate the density of charge carriers (and, thus, the quantum capacitance) as…

Mesoscale and Nanoscale Physics · Physics 2014-03-07 C. G. Beneventano , I. V. Fialkovsky , E. M. Santangelo , D. V. Vassilevich

We study electron transport properties of a monoatomic graphite layer (graphene) with different types of disorder at half filling. We show that the transport properties of the system depend strongly on the symmetry of disorder. We find that…

Mesoscale and Nanoscale Physics · Physics 2007-10-04 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

The conductance of graphene nanoribbons and nanoconstrictions under the effect of a scanning gate microscopy tip is systematically studied. Using a scattering approach for noninvasive probes, the first- and second-order conductance…

Mesoscale and Nanoscale Physics · Physics 2023-02-20 Xianzhang Chen , Guillaume Weick , Dietmar Weinmann , Rodolfo A. Jalabert

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

Transport measurements on an etched graphene nanoribbon are presented. It is shown that two distinct voltage scales can be experimentally extracted that characterize the parameter region of suppressed conductance at low charge density in…

Disordered Systems and Neural Networks · Physics 2009-02-26 C. Stampfer , J. Guettinger , S. Hellmueller , F. Molitor , K. Ensslin , T. Ihn

We study dc and ac transport along armchair graphene nanoribbons using the ${\bf k\cdot p}$ spectrum and eigenfunctions and general linear-response expressions for the conductivities. Then we contrast the results with those for transport…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 M. Zubair , M. Bahrami , P. Vasilopoulos

Explicit expressions of the band spectrum near the neutrality point for armchair and zigzag graphene ribbons and carbon nanotubes were derived based on a tight-binding macromolecule model of graphene. The obtained dispersion relations are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Lyuba Malysheva , Alexander Onipko

The wave nature of electrons in low-dimensional structures manifests itself in conventional electrical measurements as a quantum correction to the classical conductance. This correction comes from the interference of scattered electrons…

Mesoscale and Nanoscale Physics · Physics 2009-03-27 F. V. Tikhonenko , A. A. Kozikov , A. K. Savchenko , R. V. Gorbachev

The lowest Landau level of graphene is studied numerically by considering a tight-binding Hamiltonian with disorder. The Hall conductance $\sigma_\mathrm{xy}$ and the longitudinal conductance $\sigma_\mathrm{xx}$ are computed. We…

Mesoscale and Nanoscale Physics · Physics 2008-07-16 Xun Jia , Pallab Goswami , Sudip Chakravarty

We investigate the delocalization and conductance quantization in finite one-dimensional chains with only off-diagonal disorder coupled to leads. It is shown that the appearence of delocalized states at the middle of the band under…

Disordered Systems and Neural Networks · Physics 2009-11-07 Z. Y. Zeng , F. Claro

We report the first experimental study of the quantum interference correction to the conductivity of bilayer graphene. Low-field, positive magnetoconductivity due to the weak localisation effect is investigated at different carrier…

Mesoscale and Nanoscale Physics · Physics 2007-08-14 R. V. Gorbachev , F. V. Tikhonenko , A. S. Mayorov , D. W. Horsell , A. K. Savchenko