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We reveal a dramatic departure of electron thermodiffusion in solids relative to the commonly accepted picture of the ideal free-electron gas model. In particular, we show that the interaction with the lattice and impurities, combined with…

Mesoscale and Nanoscale Physics · Physics 2020-10-28 Deng Pan , Hongxing Xu , F. Javier García de Abajo

A so-called artificial graphene is an artificial material whose low-energy carriers are described by the massless Dirac equation. Applying a periodic potential with triangular symmetry to a two-dimensional electron gas is one way to make…

Mesoscale and Nanoscale Physics · Physics 2016-02-18 Pilkwang Kim , Cheol-Hwan Park

Since the lattices of ABA-stacked graphene multilayers with an even number of layers, as well as that of monolayer graphene, satisfy spatial-inversion symmetry, their electronic bands must be spin degenerate in the presence of…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Edward McCann , Mikito Koshino

We show that new massless Dirac fermions are generated when a slowly varying periodic potential is applied to graphene. These quasiparticles, generated near the supercell Brillouin zone boundaries with anisotropic group velocity, are…

Mesoscale and Nanoscale Physics · Physics 2008-09-22 Cheol-Hwan Park , Li Yang , Young-Woo Son , Marvin L. Cohen , Steven G. Louie

We propose a mechanical granular graphene obtained by replacing the carbon atoms with macroscopic spherical stainless steel beads in contact. The experimental measured dispersion relation is presented, in conjunction with evidence of the…

Applied Physics · Physics 2019-06-05 Li-Yang Zheng , Florian Allein , Vincent Tournat , Vitalyi Gusev , Georgios Theocharis

Graphene on a dielectric substrate exhibits spatial doping inhomogeneities, forming electron-hole puddles. Understanding and controlling the latter is of crucial importance for unraveling many of graphene's fundamental properties at the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 S. C. Martin , S. Samaddar , B. Sacépé , A. Kimouche , J. Coraux , F. Fuchs , B. Grévin , H. Courtois , C. B. Winkelmann

We have achieved mobilities in excess of 200,000 cm^2/Vs at electron densities of ~2*10^11 cm^-2 by suspending single layer graphene. Suspension ~150 nm above a Si/SiO_2 gate electrode and electrical contacts to the graphene was achieved by…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 K. I. Bolotin , K. J. Sikes , Z. Jiang , M. Klima , G. Fudenberg , J. Hone , P. Kim , H. L. Stormer

We show that the transmission through single and double {\delta}-function potential barriers of strength P in bilayer graphene is periodic in P with period {\pi}. For a certain range of P values we find states that are bound to the…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 M. Barbier , P. Vasilopoulos , F. M. Peeters

We analyze spin scattering in ballistic transport of electrons through a ripple at a normal incidence of an electron flow. The model of a ripple consists of a curved graphene surface in the form of an arc of a circle connected from the…

Mesoscale and Nanoscale Physics · Physics 2015-12-08 M. Pudlak , K. N. Pichugin , R. G. Nazmitdinov

The electronic states of an electrostatically confined cylindrical graphene quantum dot and the electric transport through this device are studied theoretically within the continuum Dirac-equation approximation and compared with numerical…

Mesoscale and Nanoscale Physics · Physics 2011-08-12 G. Pal , W. Apel , L. Schweitzer

Coupled electron-hole states are realized in a system consisting of a combination of an electrostatic potential barrier and ring-shaped potential well, which resembles a circular dipole. A perpendicular magnetic field induces confined…

Mesoscale and Nanoscale Physics · Physics 2019-04-05 R. Van Pottelberge , F. M. Peeters

We study spin-dependent transport in a two-dimensional electron gas subject to an external step-like potential $V(x)$ and irradiated by an electromagnetic field (EF). In the absence of EF the electronic spectrum splits into spin sub-bands…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. V. Fistul , K. B. Efetov

The effects of a propagating sinusoidal out-of-plane flexural deformation in the electronic properties of a tense membrane of graphene are considered within a non-perturbative approach, leading to an electron-ripple coupling. The…

Mesoscale and Nanoscale Physics · Physics 2019-08-29 Ramon Carrillo-Bastos , Gerardo G. Naumis

Electronic band gap and transport in quasi-periodic graphene superlattice of double-periodic sequence have been investigated. It is found that such quasi-periodic structure can possess a zero-averaged wave number (zero-$\bar{k}$) gap which…

Mesoscale and Nanoscale Physics · Physics 2012-11-29 Xi Chen , Pei-Liang Zhao , Qi-Biao Zhu

We studied how the electron-electron (e-e) interaction enhances the strength of the Rashba spin-orbit coupling (RSOC) and opens the possibility of generating a spin-polarized output current from an unpolarized electric current without any…

Mesoscale and Nanoscale Physics · Physics 2016-08-23 R. Farghadan , A. Sehat

The Dirac equation, in the field of a traveling circularly polarized electromagnetic wave and a constant magnetic field, has singular solutions, corresponding the expansion of energy in vicinity of some singular point. These solutions…

Quantum Physics · Physics 2014-05-15 Boris V. Gisin

Proximity-induced fine features and spin-textures of the electronic bands in graphene-based van der Waals heterostructures can be explored from the point of tailoring a twist angle. Here we study spin-orbit coupling and exchange coupling…

Mesoscale and Nanoscale Physics · Physics 2023-02-28 Karol Szałowski , Marko Milivojević , Denis Kochan , Martin Gmitra

We study the role of periodically driven time-dependent Rashba spin-orbit coupling (RSOC) on a monolayer graphene sample. After recasting the originally $4\times 4$ system of dynamical equations as two time-reversal related two-level…

Mesoscale and Nanoscale Physics · Physics 2013-07-29 A. López , Z. Z. Sun , J. Schliemann

The electronic density of states of graphene is equivalent to that of relativistic electrons. In the absence of disorder or external doping the Fermi energy lies at the Dirac point where the density of states vanishes. Although transport…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 J. Martin , N. Akerman , G. Ulbricht , T. Lohmann , J. H. Smet , K. von Klitzing , A. Yacoby

We study the electronic band structures of massless Dirac fermions in symmetrical graphene superlattice with cells of three regions. Using the transfer matrix method, we explicitly determine the dispersion relation in terms of different…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Abdellatif Kamal , El Bouâzzaoui Choubabi , Ahmed Jellal