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Two-dimensional (2D) materials, composed of single atomic layers, have attracted vast research interest since the breakthrough discovery of graphene. One major benefit of such systems is the simple ability to tune the chemical potential by…

Superconductivity · Physics 2020-10-01 Gopi Nath Daptary , Eyal Walach , Efrat Shimshoni , Aviad Frydman

We study the conductance of disordered graphene superlattices with short-range structural correlations. The system consists of electron- and hole-doped graphenes of various thicknesses, which fluctuate randomly around their mean value. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 N. Abedpour , Ayoub Esmailpour , Reza Asgari , M. Reza Rahimi Tabar

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

Artificial graphene consisting of honeycomb lattices other than the atomic layer of carbon has been shown to exhibit electronic properties similar to real graphene. Here, we reverse the argument to show that transport properties of real…

Using Chebyshev polynomials, we study the electronic transport properties of massless Dirac fermions in symmetrical graphene superlattice composed of three regions. Matching wavefunctions and using transfer matrix method, we explicitly…

Mesoscale and Nanoscale Physics · Physics 2018-12-27 El Bouâzzaoui Choubabi , Abdellatif Kamal , Ahmed Jellal

The electronic properties of one-dimensional graphene superlattices strongly depend on the atomic size and orientation of the 1D external periodic potential. Using a tight-binding approach, we show that the armchair and zigzag directions in…

The mode-dependent transmission of relativistic ballistic massless Dirac fermion through a graphene based double barrier structure is being investigated for various barrier parameters. We compare our results with already published work and…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Ahmed Jellal , El Bouazzaoui Choubabi , Hocine Bahlouli , Abdullah Aljaafari

Based on the transmission coefficient of tunneling electrons, we have presented tunneling current and conductivity across a square-potential barrier for both graphene and $\alpha$-$\mathcal{T}_3$ lattices under a linearly-polarized…

Mesoscale and Nanoscale Physics · Physics 2021-12-28 Andrii Iurov , Liubov Zhemchuzhna , Godfrey Gumbs , Danhong Huang , Paula Fekete

In the effective mass approximation, electronic property in graphene can be characterized by the relativistic Dirac equation. Within such a continuum model we investigate the electronic transport through graphene waveguides formed by…

Strongly Correlated Electrons · Physics 2015-05-13 Haidong Li , Lin Wang , Zhihuan Lan , Yisong Zheng

The main goal of our study was investigation of the influence of the deformations (sufficiently large for the establishing the non-zero gap) on electrotransport properties of impure graphene. To achieve this purpose, we implemented the…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 Igor Yu. Sagalianov , Yuriy I. Prylutskyy , Taras M. Radchenko , Valentyn A. Tatarenko

We numerically calculate the conductivity $\sigma$ of an undoped graphene sheet (size $L$) in the limit of vanishingly small lattice constant. We demonstrate one-parameter scaling for random impurity scattering and determine the scaling…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 J. H. Bardarson , J. Tworzydło , P. W. Brouwer , C. W. J. Beenakker

We demonstrated theoretically that the renormalization of the electron energy spectrum near the Dirac point of graphene by a strong high-frequency electromagnetic field (dressing field) drastically depends on polarization of the field.…

Mesoscale and Nanoscale Physics · Physics 2016-02-04 K. Kristinsson , O. V. Kibis , S. Morina , I. A. Shelykh

Charge transport at the Dirac point in bilayer graphene exhibits two dramatically different transport states, insulating and metallic, that occur in apparently otherwise indistinguishable experimental samples. We demonstrate that the…

Materials Science · Physics 2017-09-01 Sam Shallcross , Sangeeta Sharma , Heiko B. Weber

We generalize the scalable tight-binding model for graphene, which allows for efficient quantum transport simulations in the Dirac regime, to account for elastic strain. We show that the original scalable model with scaling factor $s$ is…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Ming-Hao Liu , Christophe De Beule , Alina Mreńca-Kolasińska , Hsin-You Wu , Aitor Garcia-Ruiz , Denis Kochan , Klaus Richter

The electronic structure of a graphene superlattice composed by two periodic regions with different Fermi velocity, energy gap and electrostatic potential is investigated by using an effective Dirac-like Hamiltonian. It must be expected…

Materials Science · Physics 2015-04-07 Jonas R. F. Lima

Compression dramatically changes the transport and localization properties of graphene. This is intimately related to the change of symmetry of the Dirac cone when the particle hopping is different along different directions of the lattice.…

Mesoscale and Nanoscale Physics · Physics 2020-11-05 B. Real , O. Jamadi , M. Milićević , N. Pernet , P. St-Jean , T. Ozawa , G. Montambaux , I. Sagnes , A. Lemaître , L. Le Gratiet , A. Harouri , S. Ravets , J. Bloch , A. Amo

We study the effect of anisotropy (strain) on dynamical gap generation in graphene. We work with a low energy effective theory obtained from a tight-binding Hamiltonian expanded around the Dirac points in momentum space. We use a…

Mesoscale and Nanoscale Physics · Physics 2021-06-08 M. E. Carrington , A. R. Frey , B. A. Meggison

We consider the relationship between the tight-binding Hamiltonian of the two-dimensional honeycomb lattice of carbon atoms with nearest neighbor hopping only and the 2+1 dimensional Hamiltonian of quantum electrodynamics which follows in…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

We study the electronic transport in a graphene-based superconductor-normal(graphene)-superconductor (SNS) junction by use of the Dirac-Bogoliubov-de Gennes equation. We consider the properties of tunneling conductance through an undoped…

Mesoscale and Nanoscale Physics · Physics 2013-11-22 Dima Bolmatov , Chung-Yu Mou

We study transport properties of graphene with anisotropically distributed on-site impurities (adatoms) that are randomly placed on every third line drawn along carbon bonds. We show that stripe states characterized by strongly suppressed…

Disordered Systems and Neural Networks · Physics 2016-07-27 S. Gattenloehner , I. V. Gornyi , P. M. Ostrovsky , B. Trauzettel , A. D. Mirlin , M. Titov