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The electronic structure of a single-layer graphene with a periodic Fermi velocity modulation is investigated by using an effective Dirac-like Hamiltonian. In a gapless graphene or in a graphene with a constant energy gap the modulation of…

Materials Science · Physics 2014-12-02 Jonas R. F. Lima

Bilayer graphene is a highly promising material for electronic and optoelectronic applications since it is supporting massive Dirac fermions with a tuneable band gap. However, no consistent picture of the gap's effect on the optical and…

In this work we study theoretically the electronic properties of a sheet of graphene grown on a periodic heterostructure substrate. We write an effective Dirac equation, which includes a dependence of both the band gap and the Fermi…

Materials Science · Physics 2014-11-12 Jonas R. F. Lima , F. Moraes

We theoretically study the effects of electron-electron interaction in twisted bilayer graphene in applied transverse dc electric field. When the twist angle is not very small, the electronic spectrum of the bilayer consists of four Dirac…

Strongly Correlated Electrons · Physics 2018-07-04 A. O. Sboychakov , A. V. Rozhkov , A. L. Rakhmanov , Franco Nori

Dirac-electronic tunneling and nonlinear transport properties with both finite and zero energy bandgap are investigated for graphene with a tilted potential barrier under a bias. For validation, results from a finite-difference based…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Farhana Anwar , Andrii Iurov , Danhong Huang , Godfrey Gumbs , Ashwani Sharma

This letter presents our findings on the recursive band gap engineering of chiral fermions in bilayer graphene doubly aligned with hBN. By utilizing two interfering moir\'{e} potentials, we generate a supermoir\'{e} pattern which…

We derive an effective Hamiltonian at low energies for bilayer graphene when Fermi velocity manufactured on each layer is different of the velocity measured in pristine graphene. Based on the effective Hamiltonian, we investigate the…

Mesoscale and Nanoscale Physics · Physics 2017-04-13 Fatemeh Adinehvand , Hosein Cheraghchi

We study ballistic transport in bilayer graphene junctions and show how electrostatic gating, interlayer bias, and homogeneous strain provide complementary control over electron transmission. In the absence of strain, transport is governed…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 Dan-Na Liu , Jun Zheng , Pierre A. Pantaleon

Modulation of electronic states in two-dimensional (2D) materials can be achieved by using in-plane variations of the band gap or the average potential in lateral quantum structures. In the atomic configurations with hexagonal symmetry,…

Mesoscale and Nanoscale Physics · Physics 2016-08-10 Feng-Wu Chen , Mei-Yin Chou , Yiing-Rei Chen , Yu-Shu Wu

By taking into account the full four band energy spectrum, we calculate the transmission probability and conductance of electrons across symmetric and asymmetric double potential barrier with a confined interlayer potential difference in…

Mesoscale and Nanoscale Physics · Physics 2014-01-22 Hasan A. Alshehab , Hocine Bahlouli , Abderrahim El Mouhafid , Ahmed Jellal

Interlayer sliding, together with twist angle, is a crucial parameter that defines the atomic registry and thus determines the properties of two-dimensional (2D) material homobilayers. Here, we theoretically demonstrate that controlled…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 Jie Pan , Huanhuan Wang , Lin Zou , Xiaoyu Wang , Lihao Zhang , Xueyan Dong , Haibo Xie , Yi Ding , Yuze Zhang , Takashi Taniguchi , Kenji Watanabe , Shuxi Wang , Zhe Wang

The transmission across a graphene bilayer region is calculated for two different types of connections to monolayer leads. A transfer matrix algorithm based on a tight binding model is developed to obtain the ballistic transmission beyond…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Hadi Z. Olyaei , Pedro Ribeiro , Eduardo V. Castro

Electronic properties of bilayer and multilayer graphene have generally been interpreted in terms of AB or Bernal stacking. However, it is known that many types of stacking defects can occur in natural and synthetic graphite; rotation of…

Materials Science · Physics 2011-11-09 J. M. B. Lopes dos Santos , N. M. R. Peres , A. H. Castro Neto

Bilayer graphene -- two coupled single graphene layers stacked as in graphite -- provides the only known semiconductor with a gap that can be tuned externally through electric field effect. Here we use a tight binding approach to study how…

Mesoscale and Nanoscale Physics · Physics 2010-04-29 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos , F. Guinea , A. H. Castro Neto

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

The interlayer coupling of twisted bilayer graphene could markedly affect its electronic band structure. A current challenge required to overcome in experiment is how to precisely control the coupling and therefore tune the electronic…

Mesoscale and Nanoscale Physics · Physics 2012-08-07 Lan Meng , Wei Yan , Zhao-Dong Chu , Yanfeng Zhang , Lei Feng , Rui-Fen Dou , Jia-Cai Nie , Lin He

Graphene bilayer systems are known to exhibit a band gap when the layer symmetry is broken, by applying a perpendicular electric field. The resulting band structure resembles that of a conventional semiconductor with a parabolic dispersion.…

Mesoscale and Nanoscale Physics · Physics 2015-07-03 Søren Schou Gregersen , Jesper Goor Pedersen , Stephen R. Power , Antti-Pekka Jauho

We study the transport properties of Dirac fermions in ABC trilayer graphene (ABC-TLG) superlattices. More specifically, we analyze the impact of varying the physical parameters -- the number of cells, barrier/well width, and barrier…

Mesoscale and Nanoscale Physics · Physics 2024-05-28 Mouhamadou Hassane Saley , Jaouad El-hassouny , Abderrahim El Mouhafid , Ahmed Jellal

Chirality is one of the key features governing the electronic properties of single- and bilayer graphene: the basics of this concept and its consequences on transport are presented in this review. By breaking the inversion symmetry, a band…

We study the transport properties of Dirac fermions through gapped graphene through a magnetic barrier irradiated by a laser field oscillating in time. We use Floquet theory and the solution of Weber's differential equation to determine the…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Rachid El Aitouni , Miloud Mekkaoui , Ahmed Jellal , Michael Schreiber
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