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We analyze the quantum Hall effect in single layer graphene with bilayer stripe defects. Such defects are often encountered at steps in the substrate of graphene grown on silicon carbide. We show that AB or AA stacked bilayer stripes result…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Tomas Lofwander , Pablo San-Jose , Elsa Prada

We examine quantum transport in periodic quantum graphs with a vertex coupling non-invariant with respect to time reversal. It is shown that the graph topology may play a decisive role in the conductivity properties illustrating this claim…

Mathematical Physics · Physics 2020-05-20 Pavel Exner , Jiri Lipovsky

In this work we present a theoretical study of transport properties of a double crossbar junction composed by segments of graphene ribbons with different widths forming a graphene quantum dot structure. The systems are described by a…

Mesoscale and Nanoscale Physics · Physics 2011-04-29 Jhon W. Gonzalez , Monica Pacheco , Luis Rosales , Pedro Orellana

This study examines electrostatic screening effects in graphene using tight binding calculations based on the Binding energy and Bond Charge model and a modified version of it. The results indicate that the modified BBC potential decays in…

Mesoscale and Nanoscale Physics · Physics 2026-02-12 Yaorui Tan , Xiang Chen , Yunhu Zhu , Xiaowu Yang , Zhongkai Huang , Chuang Yao , Maolin Bo

We report on theoretical studies of transport through graphene quantum dots weakly coupled to external ferromagnetic leads. The calculations are performed by exact diagonalization of a tight-binding Hamiltonian with finite Coulomb…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 I. Weymann , J. Barnas , S. Krompiewski

Silicene and related buckled materials are distinct from both the conventional two dimensional electron gas and the famous graphene due to strong spin orbit coupling and the buckled structure. These materials have potential to overcome…

Mesoscale and Nanoscale Physics · Physics 2015-11-20 S. Nawaz , M. Tahir

We investigate the electronic confinement in bilayer graphene by topological loops of different shapes. These loops are created by lateral gates acting via gap inversion on the two graphene sheets. For large-area loops the spectrum is well…

Mesoscale and Nanoscale Physics · Physics 2022-01-12 Nassima Benchtaber , David Sánchez , Llorenç Serra

We study the low-energy electronic transport across periodic extended defects in graphene. In the continuum low-energy limit, such defects act as infinitesimally thin stripes separating two regions where Dirac Hamiltonian governs the…

Mesoscale and Nanoscale Physics · Physics 2012-12-14 J. N. B. Rodrigues , N. M. R. Peres , J. M. B. Lopes dos Santos

Motivated by recent advances in fabricating graphene nanostructures, we find that an electron can be trapped in Z-shaped graphene nanoconstriction with zigzag edges. The central section of the constriction operates as a single-level quantum…

Mesoscale and Nanoscale Physics · Physics 2010-09-23 Adam Rycerz

The presence of strong disorder in graphene nanoribbons yields low-mobility diffusive transport at high charge densities, whereas a transport gap occurs at low densities. Here, we investigate the longitudinal and transverse…

Mesoscale and Nanoscale Physics · Physics 2012-09-03 Fabian Duerr , Jeroen B. Oostinga , Charles Gould , Laurens W. Molenkamp

We unveil the nature of the structural disorder in bottom-up zigzag graphene nanoribbons along with its effect on the magnetism and electronic transport on the basis of scanning probe microscopies and first-principles calculations. We find…

The electron transport between two zigzag graphene nanoribbons (ZGNRs) connected by carbon atomic chains has been investigated by the nonequilibrium Green's function method combined with the density functional theory. The symmetry of the…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Yao-Jun Dong , Xue-Feng Wang , Ming-Xing Zhai , Jian-Chun Wu , Liping Zhou , Qin Han , Xue-Mei Wu

Graphene -a recently discovered one-atom-thick layer of graphite- constitutes a new model system in condensed matter physics, because it is the first material in which charge carriers behave as massless chiral relativistic particles. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hubert B. Heersche , Pablo Jarillo-Herrero , Jeroen B. Oostinga , Lieven M. K. Vandersypen , Alberto F. Morpurgo

In graphene, charged defects break the electron-hole symmetry and can even give rise to exotic collapse states when the defect charge exceeds a critical value which is proportional to the Fermi velocity. In this work, we investigate the…

We discuss the effect of certain types of static disorder, like that induced by curvature or topological defects, on the quantum correction to the conductivity in graphene. We find that when the intervalley scattering time is long or…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. F. Morpurgo , F. Guinea

We study numerically the effects of edge and bulk disorder on the conductance of graphene nanoribbons. We compute the conductance suppression due to localization induced by edge scattering. We find that even for weak edge roughness,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Eduardo R. Mucciolo , Antonio H. Castro Neto , Caio H. Lewenkopf

The unique ultra-relativistic, massless, nature of electron states in two-dimensional extended graphene sheets, brought about by the honeycomb lattice arrangement of carbon atoms in two-dimensions, provides ingress to explorations of…

Mesoscale and Nanoscale Physics · Physics 2015-02-18 Constantine Yannouleas , Igor Romanovsky , Uzi Landman

We present electron transport measurements on lithographically defined and etched graphene nanoconstrictions with different aspect ratios including different lengths (L) and widths (W). A roughly length-independent disorder induced…

Mesoscale and Nanoscale Physics · Physics 2011-04-13 B. Terrés , J. Dauber , C. Volk , S. Trellenkamp , U. Wichmann , C. Stampfer

Local curvature, or bending, of a graphene sheet is known to increase the chemical reactivity presenting an opportunity for templated chemical functionalization. Using first principles calculations based on density functional theory (DFT)…

Materials Science · Physics 2015-08-12 Jesper Toft Rasmussen , Tue Gunst , Peter Bøggild , Antti-Pekka Jauho , Mads Brandbyge

We investigate the density and temperature-dependent conductance of graphene nanoribbons with varying aspect ratio. Transport is dominated by a chain of quantum dots forming spontaneously due to disorder. Depending on ribbon length,…

Mesoscale and Nanoscale Physics · Physics 2011-10-11 S. Dröscher , H. Knowles , Y. Meir , K. Ensslin , T. Ihn