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We suggest a simple approach to calculate the local density of states that effectively applies to any structure created by an axially symmetric potential on a continuous graphene sheet such as circular graphene quantum dots or rings.…

Mesoscale and Nanoscale Physics · Physics 2017-10-04 H. Chau Nguyen , Nhung T. T. Nguyen , V. Lien Nguyen

We investigate an electron in the plane interacting with the magnetic field due to an electric current forming a localized rotationally symmetric vortex. We show that independently of the vortex profile an electron with spin antiparallel to…

Condensed Matter · Physics 2007-05-23 F. Bentosela , P. Exner , V. A. Zagrebnov

Recently demonstrated metal-semiconductor heterojunctions with few-atom thickness show their promise as 2D Schottky contacts for future integrated circuits and nanoelectronics. The theory for 3D Schottky contacts, however, fails on these…

Applied Physics · Physics 2017-04-26 Fangbo Xu , Alex Kutana , Yang Yang , Boris I. Yakobson

We present a theory of electronic properties of gated triangular graphene quantum dots with zigzag edges as a function of size and carrier density. We focus on electronic correlations, spin and geometrical effects using a combination of…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 P. Potasz , A. D. Guclu , A. Wojs , P. Hawrylak

Despite the enormous interest in the properties of graphene and the potential of graphene nanostructures in electronic applications, the study of quantum confined states in atomically well-defined graphene nanostructures remains an…

A p-n junction, induced in graphene by gating, works to contrast the edge states of electrons and holes on each side of it. In a magnetic field those edge states carry two species of persistent current, which are intimately tied to the…

Mesoscale and Nanoscale Physics · Physics 2024-11-05 K. Shizuya

Fractional charges are one of the wonders of the fractional quantum Hall effect, a liquid of strongly correlated electrons in a large magnetic field. Fractional excitations are also anticipated in two-dimensional crystals of non-interacting…

Mesoscale and Nanoscale Physics · Physics 2024-04-09 Y. Guan , C. Dutreix , H. Gonzales-Herrero , M. M. Ugeda , I. Brihuega , M. I. Katsnelson , O. V. Yazyev , V. T. Renard

The unusual electronic properties of single-layer graphene make it a promising material system for fundamental advances in physics, and an attractive platform for new device technologies. Graphene's spin transport properties are expected to…

Mesoscale and Nanoscale Physics · Physics 2009-10-23 Mark B. Lundeberg , Joshua A. Folk

Graphene has demonstrated great promise for future electronics technology as well as fundamental physics applications because of its linear energy-momentum dispersion relations which cross at the Dirac point. However, accessing the physics…

We theoretically investigate the effects of long-range disorder and electron-electron interactions on the optical properties of hexagonal armchair graphene quantum dots consisting of up to 10806 atoms. The numerical calculations are…

Mesoscale and Nanoscale Physics · Physics 2017-02-08 A. Altıntaş , K. E. Çakmak , A. D. Güçlü

We investigate the effect of different edge types on the statistical properties of both the energy spectrum of closed graphene billiards and the conductance of open graphene cavities in the semiclassical limit. To this end, we use the…

Mesoscale and Nanoscale Physics · Physics 2011-11-15 J. Wurm , K. Richter , I. Adagideli

We present a theory of excitonic processes in gate controlled graphene quantum dots. The dependence of the energy gap on shape, size and edge for graphene quantum dots with up to a million atoms is predicted. Using a combination of…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 A. D. Guclu , P. Potasz , P. Hawrylak

Investigation of real two-dimensional systems with Dirac-like electronic behavior under the influence of magnetic field is challenging and leads to many interesting physical results. In this paper we study 2D graphene model with a…

Mesoscale and Nanoscale Physics · Physics 2016-10-11 E. A. Stepanov , V. Ch. Zhukovsky

We show how hydrogenation of graphene nanoribbons at small concentrations can open new venues towards carbon-based spintronics applications regardless of any especific edge termination or passivation of the nanoribbons. Density functional…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 D. Soriano , F. Muñoz-Rojas , J. Fernández-Rossier , J. J. Palacios

We propose a new method to use gapped graphene as barrier to confine electrons in gapless graphene and form a good quantum dot, which can be realized on an oxygen-terminated $SiO_{2}$ substrate partly H-passivated. In particular, we use…

Mesoscale and Nanoscale Physics · Physics 2009-10-27 Qiong Ma , Zhi-Rong Lin , Tao Tu , Guang-Can Guo , Guo-Ping Guo

We propose that recent transport experiments revealing the existence of an energy gap in graphene nanoribbons may be understood in terms of Coulomb blockade. Electron interactions play a decisive role at the quantum dots which form due to…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Sols , F. Guinea , A. H. Castro Neto

Graphene nanoribbons' electronic transport properties strongly depend on the type of edge, armchair, zigzag or other, and on edge functionalization that can be used for band-gap engineering. For only partly hydrogenated edges interesting…

Mesoscale and Nanoscale Physics · Physics 2021-11-12 Sebastian Schneider , Regina Hoffmann-Vogel

Time-dependent quantum transport for graphene nanoribbons (GNR) are calculated by the hierarchical equation of motion (HEOM) method based on the nonequilibrium Green's function (NEGF) theory (Xie et.al, J. Chem. Phys. 137, 044113, 2012). In…

Mesoscale and Nanoscale Physics · Physics 2013-04-02 Hang Xie , Yanho Kwok , Yu Zhang , Feng Jiang , Xiao Zheng , YiJing Yan , GuanHua Chen

The existence of bound states in the continuum was predicted at the dawn of quantum mechanics by von Neumann and Wigner. In this work we discuss the mechanism of formation of these exotic states and the feasibility to observe them…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 J. W. Gonzalez , M. Pacheco , L. Rosales , P. A. Orellana

We have studied zigzag and armchair graphene nano ribbons (GNRs), described by the Hubbard Hamiltonian using quantum many body configuration interaction methods. Due to finite termination, we find that the bipartite nature of the graphene…

Materials Science · Physics 2009-11-13 Sudipta Dutta , S. Lakshmi , Swapan K. Pati