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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…

介观与纳米尺度物理 · 物理学 2008-11-26 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

We analyze the effect of tensional strain in the electronic structure of graphene. In the absence of electron-electron interactions, within linear elasticity theory, and a tight-binding approach, we observe that strain can generate a bulk…

材料科学 · 物理学 2009-07-15 Vitor M. Pereira , A. H. Castro Neto , N. M. R. Peres

We analyze a gap equation for the propagator of Dirac quasiparticles and conclude that in graphene in a magnetic field, the order parameters connected with the quantum Hall ferromagnetism dynamics and those connected with the magnetic…

介观与纳米尺度物理 · 物理学 2008-11-26 E. V. Gorbar , V. P. Gusynin , V. A. Miransky

The electronic properties of graphene may be changed from semimetallic to semiconducting by introducing perforations (antidots) in a periodic pattern. The properties of such graphene antidot lattices (GALs) have previously been studied…

介观与纳米尺度物理 · 物理学 2014-09-12 S. J. Brun , M. R. Thomsen , T. G. Pedersen

Within the tight binding approximation, we study the dependence of the electronic band structure and of the optical conductivity of a graphene single layer on the modulus and direction of applied uniaxial strain. While the Dirac cone…

介观与纳米尺度物理 · 物理学 2010-01-15 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

We study the influence of different kinds of gaps in a quasiparticle spectrum on longitudinal and transverse optical conductivities of bilayer graphene. An exact analytical expression for magneto-optical conductivity is derived using a…

强关联电子 · 物理学 2012-08-08 E. V. Gorbar , V. P. Gusynin , A. B. Kuzmenko , S. G. Sharapov

We address the optical conductivity of undoped bilayer graphene in the presence of a finite bias voltage at finite temperature. The effects of gap parameter and stacking type on optical conductivity are discussed in the context of tight…

强关联电子 · 物理学 2021-06-23 Bahram Maleki , Hamed Rezania

We consider the tight-binding model of graphene with slowly spatially varying hopping functions. We develop a low energy approximation as a derivative expansion in a Dirac spinor that is perturbative in the hopping function deformation. The…

高能物理 - 理论 · 物理学 2023-08-16 Matthew M. Roberts , Toby Wiseman

We present a perturbative method for calculating the optical Hall conductivity in a tight-binding framework based on the Kubo formalism. The method involves diagonalization only of the Hamiltonian in absence of the magnetic field, and thus…

介观与纳米尺度物理 · 物理学 2013-06-11 Jesper Goor Pedersen , Mikkel H. Brynildsen , Horia D. Cornean , Thomas Garm Pedersen

The dynamical conductivity of interacting multiband electronic systems derived in Ref.[1] is shown to be consistent with the general form of the Ward identity. Using the semiphenomenological form of this conductivity formula, we have…

介观与纳米尺度物理 · 物理学 2015-01-09 I. Kupcic

We investigate, in the framework of macroscopic Dirac model, the spectrum, charge density and conductivity of metallic armchair graphene nanoribbons in presence of different mass terms. We reveal the conditions and symmetries governing the…

介观与纳米尺度物理 · 物理学 2018-04-11 C. G. Beneventano , I. V. Fialkovsky , M. Nieto , E. M. Santangelo

We review the electronic properties of bilayer graphene, beginning with a description of the tight-binding model of bilayer graphene and the derivation of the effective Hamiltonian describing massive chiral quasiparticles in two parabolic…

介观与纳米尺度物理 · 物理学 2013-04-23 Edward McCann , Mikito Koshino

We present a tight binding theory of the Dirac point resonances due to adsorbed atoms and molecules on an infinite 2D graphene sheet based on the standard tight binding model of the graphene p-band electronic structure and the extended…

介观与纳米尺度物理 · 物理学 2015-05-19 S. Ihnatsenka , G. Kirczenow

Undistorted monolayer graphene has energy bands which cross at protected Dirac points. It elastically deforms and much research has assumed the Dirac description persists, now in a curved space and coupled to a gauge field related to…

介观与纳米尺度物理 · 物理学 2022-06-14 Matthew M. Roberts , Toby Wiseman

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…

介观与纳米尺度物理 · 物理学 2009-03-25 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy , C. M. Wyenberg

The band gap of periodically-doped graphene with hydrogen is investigated. It is found through a tight-binding model (TB) that for certain periodicities, called here NGPs (non-gap periodicities), no gap is opened at the Dirac point. This…

材料科学 · 物理学 2010-12-15 Juan Maria Garcia-Lastra

We carry out both the tight-binding model and the $ab\ initio$ to study the layered silicene, the spin, valley, sublattice degrees of freedom are taken into consider and the effects of electric field, magnetic field, and even the light in…

材料科学 · 物理学 2018-04-06 Chen-Huan Wu

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…

介观与纳米尺度物理 · 物理学 2014-08-28 Godfrey Gumbs , Danhong Huang , Andrii Iurov , Bo Gao

We study the optical conductivity of a doped graphene when a sublattice symmetry breaking is occurred in the presence of the electron-phonon interaction. Our study is based on the Kubo formula that is established upon the retarded…

介观与纳米尺度物理 · 物理学 2015-05-14 Kh. Jahanbani , Reza Asgari

We discuss the orbital magnetism and the Hall effect in the weak magnetic field in two dimensional Dirac fermion systems with energy gap. This model is related to the graphene sheet, organic conductors, and $d$-density wave superconductors.…

强关联电子 · 物理学 2007-11-06 Masaaki Nakamura
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