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We investigate the transport properties of charge carriers in AB bilayer graphene through a triple electrostatic barrier. We calculate the transmission and reflection using the continuity conditions at the interfaces of the triple barrier…

Mesoscale and Nanoscale Physics · Physics 2022-11-30 Mouhamadou Hassane Saley , Abderrahim El Mouhafid , Ahmed Jellal , Ahmed Siari

We study fermion reflection at a phase wave which is formed during a bubble collision in a first order phase transition. We calculate the reflection and the transmission coefficients by solving the Dirac equation with the phase wave…

High Energy Physics - Phenomenology · Physics 2023-11-08 Jae-weon Lee , In-guy Koh

We study the effect of the shape of different potential barriers on the transmitted charged current whose fermionic population is not monoenergetic but is described by means of an energy spectrum. The generalised Kappa Fermi-Dirac…

Statistical Mechanics · Physics 2020-06-24 J. L. Domenech-Garret

We consider the Dirac equation on periodic networks (quantum graphs). The self-adjoint quasi periodic boundary conditions are derived. The secular equation allowing us to find the energy spectrum of the Dirac particles on periodic quantum…

Quantum Physics · Physics 2021-08-11 J. R. Yusupov , K. K. Sabirov , D. U. Matrasulov

The low energy physics of both graphene and surface states of three-dimensional topological insulators is described by gapless Dirac fermions with linear dispersion. In this work, we predict the emergence of a "heavy" Dirac fermion in a…

Mesoscale and Nanoscale Physics · Physics 2016-10-17 Wendong Cao , Rui-Xing Zhang , Peizhe Tang , Gang Yang , Jorge Sofo , Wenhui Duan , Chao-Xing Liu

We study the charge carriers transport in an AA-stacked bilayer graphene modulated by a lateral one-dimensional multibarrier structure. We investigate the band structures of our system, that is made up of two shifted Dirac cones, for finite…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 Ilham Redouani , Ahmed Jellal

Transfer characteristics of p-doped graphene/monolayer-MoS2 heterostructure at 300 K are measured experimentally and analyzed based on a model calculation. In the model, we first discretize the Poisson equation (PE) into multiple zones. In…

Mesoscale and Nanoscale Physics · Physics 2019-12-17 Khoe Van Nguyen , Shih-Yen Lin , Yia-Chung Chang

By solving two-component spinor equation for massless Dirac Fermions, we show that graphene under a periodic external magnetic field exhibits a unique energy spectrum: At low energies, Dirac Fermions are localized inside the magnetic region…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 Shuanglong Liu , Argo Nurbawono , Na Guo , Chun Zhang

In order to use graphene for semiconductor applications, such as transistors with high on/off ratios, a band gap must be introduced into this otherwise semimetallic material. A promising method of achieving a band gap is by introducing…

Mesoscale and Nanoscale Physics · Physics 2014-08-18 M. R. Thomsen , S. J. Brun , T. G. Pedersen

We calculate the spectrum of massive Dirac fermions in graphene in the presence of an inhomogeneous magnetic field modeled by a step function. We find an analytical universal relation between the bandwidths and the propagating velocities of…

Mesoscale and Nanoscale Physics · Physics 2021-07-27 L. Dell'Anna , A. Alidoust Ghatar , D. Jahani

Exact stationary solutions of the electron-photon Dirac equation are obtained to describe the strong interaction between massless Dirac fermions in graphene and circularly polarized photons. It follows from them that this interaction forms…

Mesoscale and Nanoscale Physics · Physics 2010-04-26 O. V. Kibis

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

We study the confinement of Dirac fermions in graphene and in carbon nanotubes by an external magnetic field, mechanical deformations or inhomogeneities in the substrate. By applying variational principles to the square of the Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-01-08 Vit Jakubsky , David Krejcirik

Motivated by the results of recent photoemission and tunneling studies, we discuss potential many-body sources of a finite gap in the Dirac fermion spectrum of graphene. Specifically, we focus on the putative Peierls- and Cooper-like…

Strongly Correlated Electrons · Physics 2011-05-27 D. V. Khveshchenko

We adapt the transfer matrix ($\T$-matrix) method originally designed for one-dimensional quantum mechanical problems to solve the circularly symmetric two-dimensional problem of graphene quantum dots. In similarity to one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 H. Chau Nguyen , Nhung T. T. Nguyen , V. Lien Nguyen

The reflectance of graphene is investigated in the framework of the Dirac model with account of its realistic properties, such as nonzero chemical potential and band gap, at any temperature. For this purpose, the exact reflection…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov

We compute the optical conductivity for an out-of-plane deformation in graphene using an approach based on solutions of the Dirac equation in curved space. Different examples of periodic deformations along one direction translates into an…

Mesoscale and Nanoscale Physics · Physics 2014-05-05 A. J. Chaves , T. Frederico , O. Oliveira , W. de Paula , M. C. Santos

We study the scattering of fermions off a finite width kink wall during the electroweak phase transition in the presence of a background hypermagnetic field. We derive and solve the Dirac equation for such fermions and compute the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alejandro Ayala , Gabriella Piccinelli , Gabriel Pallares

We investigate the effect of strain along armchair and zigzag directions on electrical transport in graphene through a magnetic barrier and a linearly polarized electromagnetic wave. In the context of Floquet theory, the eigenvalues and…

Mesoscale and Nanoscale Physics · Physics 2023-02-01 Hasna Chnafa , Miloud Mekkaoui , Ahmed Jellal , Abdelhadi Bahaoui

Graphene is convenient material for nanomechanichal applications since high-frequency oscillations are easily accessible. In this Article, we consider graphene on a rough substrate attached to imperfections at random locations. We explore…

Mesoscale and Nanoscale Physics · Physics 2013-09-25 Mariya V. Medvedyeva , Yaroslav M. Blanter
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