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We study the Dirac equation for quasiparticles in gapped graphene with two oppositely charged impurities by using the technique of linear combination of atomic orbitals and variational Galerkin--Kantorovich method. We show that for…

Strongly Correlated Electrons · Physics 2015-09-03 E. V. Gorbar , V. P. Gusynin , O. O. Sobol

It was shown in PHYSICAL REVIEW B 92, 085409 (2015) that the dynamics of a pair of electrons in graphene can be mapped onto that of a single particle with negative effective mass, leading to bound states of positive energy despite the…

Mesoscale and Nanoscale Physics · Physics 2015-12-10 L. L. Marnham , A. V. Shytov

The effect of Rashba spin-orbit interaction and anisotropic strain on the electronic, optical and thermodynamic properties of artificial graphene-like superlattice composed of InAs-GaAs quantum dots has been considered theoretically. The…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Vram Mughnetsyan , Aram Manaselyan , Manuk Barseghyan , Albert Kirakosyan , David Laroze

In spite of unscreened Coulomb interactions close to charge neutrality, relativistic massless electrons in graphene allegedly behave as noninteracting particles. A clue to this paradox is that both interaction and kinetic energies scale…

Mesoscale and Nanoscale Physics · Physics 2014-09-29 K. A. Guerrero-Becerra , Massimo Rontani

We investigate the transmissions of fermions through gapped graphene structures by employing a combination of double barrier tilting and a time-oscillating potential. The latter introduces additional sidebands into the transmission…

Mesoscale and Nanoscale Physics · Physics 2024-05-28 Miloud Mekkaoui , Ahmed Jellal , Abderrahim El Mouhafid

In this article, we employ the transfer matrix method to investigate relativistic particles in super-periodic potentials (SPPs) of arbitrary order $n \in I^{+}$. We calculate the reflection and transmission probabilities for spinless Klein…

Mesoscale and Nanoscale Physics · Physics 2026-04-06 Sudhanshu Shekhar , Bhabani Prasad Mandal , Anirban Dutta

Intrinsic and Rashba spin-orbit interactions in strained graphene is studied within the tight-binding (TB) approach. Dependence of Slater-Koster (SK) parameters of graphene on strain are extracted by fitting the \emph{ab initio} band…

Mesoscale and Nanoscale Physics · Physics 2019-02-08 H. Rezaei , A. Phirouznia

We study the transmission probability of Dirac fermions in graphene scattered by a triangular double barrier potential in the presence of an external magnetic field. Our system made of two triangular potential barrier regions separated by a…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli

We give a concise account on the derivation of hybrid quantum-classical models for stationary electron transport in graphene, in presence of sharp potential steps of barriers. A quantum region (an asymptotically thin strip around the…

Mathematical Physics · Physics 2017-01-19 Luigi Barletti , Claudia Negulescu

The kinetic transport of electrons through graphene magnetic barriers is studied theoretically in presence of an external time harmonic scalar potential. The transmission coefficients are calculated in the framework of the non-perturbative…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 R. Biswas , S. Maiti , C. Sinha

Graphene, as a material with a small intrinsic spin-orbit interaction of approximately 1 $\mu$eV, has a limited application in spintronics. Adsorption of graphene on the surfaces of heavy-metals was proposed to induce the strong…

Materials Science · Physics 2018-12-27 Elena Voloshina , Yuriy Dedkov

By combining analytic and numerical methods, edge states on a finite width graphene ribbon in a magnetic field are studied in the framework of low-energy effective theory that takes into account the possibility of quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2009-03-25 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy , C. M. Wyenberg

When electrons are confined in two-dimensional (2D) materials, quantum mechanically enhanced transport phenomena, as exemplified by the quantum Hall effects (QHE), can be observed. Graphene, an isolated single atomic layer of graphite, is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yuanbo Zhang , Yan-Wen Tan , Horst L. Stormer , Philip Kim

The Dirac-like quasiparticles in honeycomb graphene lattice are taken to possess a non-zero effective mass. The charge carriers involve to interact with a femtosecond strong laser pulse. Due to the scattering time of electrons in graphene…

Mesoscale and Nanoscale Physics · Physics 2017-01-31 Z. Ahmadi , H. Goudarzi , A. Jafari

The influence of magnetic impurities on the transport properties of graphene is investigated in the regime of strong applied electric fields. As a result of electron-hole pair creation, the response becomes nonlinear and dependent on the…

Mesoscale and Nanoscale Physics · Physics 2014-09-02 Arnaud Demion , Alberto D. Verga

The appearence of long-range correlations near the Dirac point of a Dirac-like spinor model with random vector potential is studied. These correlations originate from a spontaneously broken symmetry and their corresponding Goldstone modes.…

Mesoscale and Nanoscale Physics · Physics 2008-09-04 K. Ziegler

Hydrogen adatoms are one of the most the promising proposals for the functionalization of graphene. Hydrogen induces narrow resonances near the Dirac energy, which lead to the formation of magnetic moments. Furthermore, they also create…

Mesoscale and Nanoscale Physics · Physics 2018-04-24 Luis A. González-Árraga , J. L. Lado , F. Guinea

Recent studies show that periodic potentials can generate superlattice Dirac points at energies in graphene (is the Fermi velocity of graphene and G is the reciprocal superlattice vector). Here, we perform scanning tunneling microscopy and…

Mesoscale and Nanoscale Physics · Physics 2013-02-21 Hui Yan , Zhao-Dong Chu , Wei Yan , Mengxi Liu , Lan Meng , Mudan Yang , Yide Fan , Jiang Wang , Rui-Fen Dou , Yanfeng Zhang , Zhongfan Liu , Jia-Cai Nie , Lin He

In this paper, we present a Kane-Mele model in the presence of magnetic field and next nearest neighbors hopping amplitudes for investigations of the spin susceptibilities of Germanene layer. Green's function approach has been implemented…

Strongly Correlated Electrons · Physics 2021-06-23 Farshad Azizi , Hamed Rezania

The different physical properties of multilayered graphene or graphite relative to single layer graphene result from the Dirac spins symmetry in graphene and the Pauli spin symmetry in graphite. The Dirac symmetry in multilayers of graphene…

Materials Science · Physics 2011-10-28 Reginald B. Little , Glenn J. Gex , Muhammad Ansari , James W. Mitchell