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We evaluate the electronic transmission and conductance in bilayer graphene through a finite number of potential barriers. Further, we evaluate the dispersion relation in a bilayer graphene superlattice with a periodic potential applied to…

Mesoscale and Nanoscale Physics · Physics 2011-01-21 M. Barbier , P. Vasilopoulos , F. M. Peeters , J. Milton Pereira

A new type of self-similar potential is used to study a multibarrier system made of graphene. Such potential is based on the traditional middle third Cantor set rule combined with a scaling of the barriers height. The resulting transmission…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 D. S. Díaz-Guerrero , L. M. Gaggero-Sager , I. Rodríguez Vargas , G. G. Naumis

In this paper, we show that the application of propagating waves can induce a DC current even in systems with spatial inversion symmetry. We derive the equation for the DC current induced by propagating waves using two methods: perturbation…

Mesoscale and Nanoscale Physics · Physics 2026-04-08 Keisuke Kitayama , Masao Ogata

We solve the Dirac equation, which describes charge massless chiral relativistic carriers in a two-dimensional graphene. We have identified and analysed a novel pseudospin-dependent scattering effect. We compute the tunneling conductance…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 Dima Bolmatov , D. V. Zavialov

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

We use the symmetries of monolayer graphene to write a set of constraints that must be satisfied by any electron-phonon interaction hamiltonian. The explicit solution as a series expansion in the momenta gives the most general,…

Strongly Correlated Electrons · Physics 2009-11-13 Juan L. Manes

The peculiar nature of electron scattering in graphene is among many exciting theoretical predictions for the physical properties of this material. To investigate electron scattering properties in a graphene plane, we have created a…

Mesoscale and Nanoscale Physics · Physics 2007-06-19 B. Huard , J. A. Sulpizio , N. Stander , K. Todd , B. Yang , D. Goldhaber-Gordon

The energy spectrum of graphene sheet with a single barrier structure having a time periodic oscillating height and subjected to magnetic field is analyzed. The corresponding transmission is studied as function of the obtained energy and…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Ahmed Jellal , Miloud Mekkaoui , El Bouazzaoui Choubabi , Hocine Bahlouli

In this paper, we study the near-field radiative energy, linear-momentum, and angular-momentum transfer from a current-biased graphene to nanoparticles. The electric current through the graphene sheet induces nonequilibrium fluctuations,…

Optics · Physics 2024-02-19 Huimin Zhu , Gaomin Tang , Lei Zhang , Jun Chen

In this paper, a simple method is proposed to get analytical solutions (or with the help of a finite numerical calculations) of the Dirac-Weyl equation for low energy electrons in graphene in the presence of certain electric and magnetic…

Mathematical Physics · Physics 2022-12-20 İsmail Burak Ateş , Şengül Kuru , Javier Negro

In this study, using the Dirac continuum model combined with the split-operator technique, we investigate the propagation dynamics of wave packets in graphene in the presence of circular potential barriers arranged in square and triangular…

Mesoscale and Nanoscale Physics · Physics 2025-10-02 G. M. Milibaeva , H. T. Yusupov , D. G. Berdiyorova , Y. Rakhimova , M. Yusupov , A. Chaves , Kh. Rakhimov

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

Photon-assisted electron transport in ballistic graphene is analyzed using scattering theory. We show that the presence of an ac signal (applied to a gate electrode in a region of the system) has interesting consequences on electron…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Trauzettel , Ya. M. Blanter , A. F. Morpurgo

A directional photon-assisted resonant chiral tunneling through a bilayer graphene barrier is considered. An external electromagnetic field applied to the barrier switches the transparency $T$ in the longitudinal direction from its steady…

Other Condensed Matter · Physics 2016-11-10 S. E. Shafranjuk

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 investigate theoretically the transmission of electrons through a pair of {\delta}- function magnetic barriers in graphene in presence of external monochromatic, linearly polarised and CW laser field. The transmission coefficients are…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 R. Biswas , C. Sinha

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

Exact analytic solutions for an electron in graphene interacting with external complex magnetic fields are found. The eigenvalue problem for the non-hermitian Dirac-Weyl Hamiltonian leads to a pair of intertwined Schr{\"o}dinger equations,…

Mathematical Physics · Physics 2022-03-14 DJ Fernández , JD García-Muñoz

The scattering matrix approach to phase-coherent transport is generalized to nonlinear ac-transport. In photon-assisted electron transport it is often only the dc-component of the current that is of experimental interest. But ac-currents at…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Morten Holm Pedersen , Markus Buttiker

We have investigated the electrical transport properties of Dirac electrons in a monolayer graphene sheet in the presence of a perpendicular magnetic field that is modulated weakly and periodically along one direction.We find that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Tahir , K. Sabeeh