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We study the electronic states of graphene in piecewise constant potentials using the continuum Dirac equation appropriate at low energies, and a transfer matrix method. For superlattice potentials, we identify patterns of induced Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 D. P. Arovas , L. Brey , H. A. Fertig , Eun-Ah Kim , K. Ziegler

The current flow along the boundary of graphene stripes in a perpendicular magnetic field is studied theoretically by the nonequilibrium Green's function method. In the case of specular reflections at the boundary, the Hall resistance shows…

Mesoscale and Nanoscale Physics · Physics 2015-11-13 Thomas Stegmann , Axel Lorke

Graphene p-n junctions provide an ideal platform for investigating novel behavior at the boundary between electronics and optics that arise from massless Dirac fermions, such as whispering gallery modes and Veselago lensing. Bilayer…

We study the charge density distribution, the electric field profile, and the resistance of an electrostatically created lateral p-n junction in graphene. We show that the electric field at the interface of the electron and hole regions is…

Mesoscale and Nanoscale Physics · Physics 2008-03-22 L. M. Zhang , M. M. Fogler

We study the effects of strain on the electronic properties and persistent current characteristics of a graphene ring using the Dirac representation. For a slightly deformed graphene ring flake, one obtains sizable pseudomagnetic (gauge)…

Mesoscale and Nanoscale Physics · Physics 2013-06-19 D. Faria , A. Latge , S. E. Ulloa , N. Sandler

The relativistic nature of Dirac electrons and holes in graphene profoundly affects the way they interact with impurities. Signatures of the relativistic behavior have been observed recently in scanning tunneling measurements on individual…

Mesoscale and Nanoscale Physics · Physics 2013-04-24 Atikur Rahman , Janice Wynn Guikema , Nina Markovic

In the absence of a magnetic field, scattered wavefunction inside a circular p-n junction in graphene exhibits an interference pattern with high intensity maximum located around the caustics. We investigate the wavefunctions in the presence…

Mesoscale and Nanoscale Physics · Physics 2014-03-31 Neetu Agrawal , Sankalpa Ghosh , Manish Sharma

Owing to a linear and gapless band structure and a tunability of the charge carrier type, graphene offers a unique system to investigate transport of Dirac Fermions at p-n junctions (PNJs). In a magnetic field, combination of quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 N. Kumada , F. D. Parmentier , H. Hibino , D. C. Glattli , P. Roulleau

Ballistic transport in graphene p-n junctions in the presence of magnetic field exhibits two distinct regimes: At low fields, transport is partially suppressed by the field. When the field exceeds a certain critical value, the junction is…

Mesoscale and Nanoscale Physics · Physics 2007-08-23 A. V. Shytov , Nan Gu , L. S. Levitov

We theoretically study electronic properties of a graphene sheet on xy plane in a spatially nonuniform magnetic field, $B = B_0 \hat{z}$ in one domain and $B = B_1 \hat{z}$ in the other domain, in the quantum Hall regime and in the…

Mesoscale and Nanoscale Physics · Physics 2008-03-03 Sunghun Park , H. -S. Sim

The electrons in graphene for energies close to the Dirac point have been found to form strongly interacting fluid. Taking this fact into account we have extended previous work on the transport properties of graphene by taking into account…

High Energy Physics - Theory · Physics 2018-03-14 Marek Rogatko , Karol. I. Wysokinski

We observe a dc electric current in response to terahertz radiation in lateral inter-digitated double-comb graphene p-n junctions. The junctions were fabricated by selective ultraviolet irradiation inducing p-type doping in intrinsic n-type…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Yu. B. Vasilyev , G. Yu. Vasileva , S. Novikov , S. A. Tarasenko , S. N. Danilov , S. D. Ganichev

The present study explores the edge states in a finite-width graphene ribbon and a semi-infinite geometry subject to a perpendicular magnetic field and an in-plane electric field, applied perpendicular to a zigzag edge. To accomplish this,…

Mesoscale and Nanoscale Physics · Physics 2023-04-17 A. A. Herasymchuk , S. G. Sharapov , V. P. Gusynin

Low-energy excitations in graphene exhibit relativistic properties due to the linear dispersion relation close to the Dirac points in the first Brillouin zone. Two of the Dirac points located at opposite corners of the first Brillouin zone…

Mesoscale and Nanoscale Physics · Physics 2017-05-25 T. Sekera , C. Bruder , E. J. Mele , R. P. Tiwari

To construct Lagrangian based on plate theory and tight-binding model, deflection-field coupling to Dirac fermions in graphene can be investigated. As have been known, deflection-induced strain may cause an effect on the motion of the…

Mesoscale and Nanoscale Physics · Physics 2014-09-18 Bumned Soodchomshom

The characteristics of tunnel junctions formed between n- and p-doped graphene are investigated theoretically. The single-particle tunnel current that flows between the two-dimensional electronic states of the graphene (2D-2D tunneling) is…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 R. M. Feenstra , Debdeep Jena , Gong Gu

The proposed semiclassical theory predicts two types of oscillations in the flow of current injected from a point source near a ballistic p-n junction in graphene in a strong magnetic field. One originates from the classical effect of…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 Aavishkar A. Patel , Nathan Davies , Vadim Cheianov , Vladimir I. Fal'ko

We have studied quantum interference between electrons and holes in a split-ring gold interferometer with graphene arms, one of which contained a pn junction. The carrier type, the pn junction and the phase of the oscillations in a magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Atikur Rahman , Janice Wynn Guikema , Soo Hyung Lee , Nina Markovic

We consider conductance mapping of the snake-orbits confined along the n-p junction defined in graphene by the electrostatic doping in the quantum Hall regime. We explain the periodicity of conductance oscillations at the magnetic field and…

Mesoscale and Nanoscale Physics · Physics 2017-01-18 K. Kolasiński , A. Mreńca-Kolasińska , B. Szafran

A junction between two boundaries of a topological superconductor (TSC), mediated by localized edge modes of Majorana fermions, is investigated. The tunneling of fermions across the junction depends on the magnetic flux. It breaks the…

Strongly Correlated Electrons · Physics 2017-08-04 Igor N. Karnaukhov
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