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Atomically precise graphene nanoribbons (GNRs) have emerged as promising candidates for nanoelectronic applications due to their widely tunable energy band gaps resulting from lateral quantum confinement and edge effects. Here we report on…

Peculiar electronic properties of graphene, including the universal dc conductivity and the pseudodiffusive shot noise, are usually attributed to a small vicinity of the charge-neutrality point, away from which electron's effective mass…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Adam Rycerz

We consider the dynamics of relativistic spin-half particles in quantum graphs with transparent branching points. The system is modeled by combining the quantum graph concept with the one of transparent boundary conditions applied to the…

Quantum Physics · Physics 2020-07-01 J. R. Yusupov , K. K. Sabirov , Q. U. Asadov , M. Ehrhardt , D. U. Matrasulov

We study the transport of charge carriers through finite graphene structures. The use of numerical exact kernel polynomial and Green function techniques allows us to treat actual sized samples beyond the Dirac-cone approximation.…

Mesoscale and Nanoscale Physics · Physics 2013-11-13 A. Pieper , G. Schubert , G. Wellein , H. Fehske

We show that the manifestation of quantum interference in graphene is very different from that in conventional two-dimensional systems. Due to the chiral nature of charge carriers, it is sensitive not only to inelastic, phase-breaking…

Mesoscale and Nanoscale Physics · Physics 2008-02-09 F. V. Tikhonenko , D. W. Horsell , R. V. Gorbachev , A. K. Savchenko

Quantum confinement of graphene Dirac-like electrons in artificially crafted nanometer structures is a long sought goal that would provide a strategy to selectively tune the electronic properties of graphene, including bandgap opening or…

Dynamics of quasi-particles in graphene with an impurity and a sharp edge is considered with the kp perturbation theory that allows an unified approach without usage of any models. Dirac and Weyl equations are derived by the above-mentioned…

Mesoscale and Nanoscale Physics · Physics 2021-09-03 A. M. Kadigrobov

Graphene has been proposed as a promising material for future nanoelectronics because of its unique electronic properties. Understanding the scaling behavior of this new nanomaterial under common experimental conditions is of critical…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Yang Sui , Tony Low , Mark Lundstrom , Joerg Appenzeller

We investigate spin transport in diffusive graphene nanoribbons with both clean and rough zigzag edges, and long-range potential fluctuations. The long-range fields along the ribbon edges cause the local doping to come close to the charge…

Mesoscale and Nanoscale Physics · Physics 2014-03-31 Jan Bundesmann , Ming-Hao Liu , Inanc Adagideli , Klaus Richter

At an interface between contacts and graphene, the mathematical equation that governs the propagation of electrons transforms from the Schrodinger to the Dirac equation. The condition of current probability conservation at such an interface…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Daniela Dragoman

It is generally believed that the inter-edge coupling destroys the quantum spin Hall (QSH) effect along with the gap opening at the Dirac points. Using first-principles calculations, we find that the quantized edge transport persists in the…

Mesoscale and Nanoscale Physics · Physics 2016-07-26 Yuanchang Li

We review the transmission of Dirac electrons through a potential barrier in the presence of circularly polarized light. A different type of transmission is demonstrated and explained. Perfect transmission for nearly head-on collision in…

Mesoscale and Nanoscale Physics · Physics 2014-08-28 Godfrey Gumbs , Danhong Huang , Andrii Iurov , Bo Gao

We analyze the diffusive transport of Brownian particles in narrow channels with periodically varying cross-section. The geometrical confinements lead to entropic barriers, the particle has to overcome in order to proceed in transport…

Statistical Mechanics · Physics 2012-01-06 P. S. Burada , G. Schmid , Y. Li , P. Hanggi

In graphene, long-wavelength deformations that result in elastic shear strain couple to the low-energy Dirac electrons as pseudogauge fields. Using a scalable tight-binding model, we consider analogs to magnetotransport in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 Alina Mreńca-Kolasińska , Christophe De Beule , Jia-Tong Shi , Aitor Garcia-Ruiz , Denis Kochan , Klaus Richter , Ming-Hao Liu

Edge structure plays an essential role in the nature of electronic states in graphene nanoribbons. By focusing on the interplay between this feature and non-trivial topology in the domain of the Dirac confinement problem, this paper…

Mesoscale and Nanoscale Physics · Physics 2017-07-24 J. F. O de Souza , Claudio Furtado

We report a thermoelectric study of graphene in both zero and applied magnetic fields. As a direct consequence of the linear dispersion of massless particles, we find that the Seebeck coefficient Sxx diverges with 1 /, where n2D is the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Peng Wei , Wenzhong Bao , Yong Pu , Chun Ning Lau , Jing Shi

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 study the effect of a structural nanoconstriction on the coherent transport properties of otherwise ideal zig-zag-edged infinitely long graphene ribbons. The electronic structure is calculated with the standard one-orbital tight-binding…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Muñoz-Rojas , D. Jacob , J. Fernández-Rossier , J. J. Palacios

We present a tight binding theory of the Dirac point resonances due to adsorbed atoms and molecules on an infinite 2D graphene sheet based on the standard tight binding model of the graphene p-band electronic structure and the extended…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 S. Ihnatsenka , G. Kirczenow

This paper presents experimental results about transport of dilute suspensions of nano-objects in silicon-glass micrometric and sub-micrometric channels. Two kinds of objects are used: solid, rigid latex beads and spherical capsule-shaped,…