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Electron transport properties are investigated in an array of mesoscopic rings, where each ring is threaded by a magnetic flux $\phi$. The array is attached to two semi-infinite one-dimensional metallic electrodes, namely, source and drain,…

Mesoscale and Nanoscale Physics · Physics 2010-04-28 Paramita Dutta , Santanu K. Maiti , S. N. Karmakar

Using the continuum model, we investigate the electronic properties of two types of bilayer graphene (BLG) quantum ring (QR) geometries: (i) an isolated BLG QR and (ii) a monolayer graphene (MLG) with a QR put on top of an infinite graphene…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 M. Mirzakhani , D. R. da Costa , F. M. Peeters

Since electrons in a ballistic regime perceive a carbon nanotube or a graphene layer structure as a continuous medium, we can use the study of the quantum dynamics of one electron constrained to a curve or surface to obtain a qualitative…

Mesoscale and Nanoscale Physics · Physics 2021-05-24 J. D. M. de Lima , E. Gomes , F. F. da Silva Filho , F. Moraes , R. Teixeira

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

We present a formal derivation of a drift-diffusion model for stationary electron transport in graphene, in presence of sharp potential profiles, such as barriers and steps. Assuming the electric potential to have steep variations within a…

Mathematical Physics · Physics 2020-06-02 Luigi Barletti , Claudia Negulescu

In this work, we investigate the effects of a controlled conical geometry on the electric charge transport through a two-dimensional quantum ring weakly coupled to both the emitter and the collector. These mesoscopic systems are known for…

Mesoscale and Nanoscale Physics · Physics 2026-02-23 Francisco A. G. de Lira , Edilberto O. Silva , Christian D. Santangelo

Graphene has generated a lot of research interest due to its special properties, which include a hydrodynamic regime. It is not yet clear however which boundary condition such a hydrodynamic current flow satisfies. The aim of this paper is…

Mesoscale and Nanoscale Physics · Physics 2015-09-24 Glenn Wagner

We study the effects of spin orbit interactions on the low energy electronic structure of a single plane of graphene. We find that in an experimentally accessible low temperature regime the symmetry allowed spin orbit potential converts…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. L. Kane , E. J. Mele

We present analytical expressions for the eigenstates and eigenvalues of electrons confined in a graphene monolayer in the presence of a disclination. The calculations are performed in the continuum limit approximation in the vicinity of…

Mesoscale and Nanoscale Physics · Physics 2017-11-03 Debabrata Sinha , Bertrand Berche

The electronic transport of a noninteracting quantum ring side-coupled to a quantum wire is studied via a single-band tunneling tight-binding Hamiltonian. We found that the system develops an oscillating band with antiresonances and…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 P. A. Orellana , M. L. Ladron de Guevara , M. Pacheco , A. Latge

The quantum entanglement phenomenon was demonstrated to operate on a bipartite entangled system composed of two single layers of graphene embedded in an electrolytic medium (which did not permit the transport of electrons) and subjected to…

General Physics · Physics 2024-10-17 David A. Miranda , Edgar F. Pinzón , Paulo R. Bueno

We theoretically analyse the possibility to electrostatically confine electrons in circular quantum dot arrays, impressed on contacted graphene nanoribbons by top gates. Utilising exact numerical techniques, we compute the scattering…

Mesoscale and Nanoscale Physics · Physics 2016-04-21 Holger Fehske , Georg Hager , Andreas Pieper

When electrons are confined in two-dimensional (2D) materials, quantum mechanically enhanced transport phenomena, as exemplified by the quantum Hall effects (QHE), can be observed. Graphene, an isolated single atomic layer of graphite, is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yuanbo Zhang , Yan-Wen Tan , Horst L. Stormer , Philip Kim

We investigate the effect of topological defects on the transport properties of a narrow ballistic ribbon of graphene with zigzag edges. Our results show that the longitudinal conductance vanishes at several discrete Fermi energies where…

Mesoscale and Nanoscale Physics · Physics 2008-10-11 Yan-Yang Zhang , Jiang-Ping Hu , B. A. Bernevig , X. R. Wang , X. C. Xie , W. M. Liu

Owing to the Klein tunneling phenomenon, the permanent confinement or localization of electrons within a graphene quantum dot is unattainable. Nonetheless, a constant magnetic field can transiently ensnare an electron within the quantum…

Mesoscale and Nanoscale Physics · Physics 2024-03-26 Mohammed El Azar , Ahmed Bouhlal , Ahmed Jellal

It is shown that for monolayer graphene electrons are confined on a perfect two dimensional surface. The implications for the electronic properties of corrugated graphene are discussed in view of a derivation of the constrained relativistic…

Materials Science · Physics 2015-05-18 Victor Atanasov , Avadh Saxena

We have carried out first-principles calculations on electronic properties of graphene quantum dots embedded in hexagonal boron nitride monolayer sheets. The calculations with density functional theory show that the band gaps of quantum…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Junwen Li , Vivek B. Shenoy

We investigate the wedge disclination effect on quantum tunneling of a Corbino disk in gapped-graphene of inner $R_1$ and outer $R_2$ radii in the presence of magnetic flux $\Phi_i$. We solve Dirac equation for different regions and obtain…

Mesoscale and Nanoscale Physics · Physics 2022-06-01 Ahmed Bouhlal , Ahmed Jellal , Mohamed Mansouri

We analytically calculate the energy spectrum of a circular graphene quantum dot with radius R subjected to a perpendicular magnetic field B by applying the infinite-mass boundary condition. We can retrieve well-known limits for the cases…

Mesoscale and Nanoscale Physics · Physics 2009-02-27 S. Schnez , K. Ensslin , M. Sigrist , T. Ihn

We give a concise account on the derivation of hybrid quantum-classical models for stationary electron transport in graphene, in presence of sharp potential steps of barriers. A quantum region (an asymptotically thin strip around the…

Mathematical Physics · Physics 2017-01-19 Luigi Barletti , Claudia Negulescu