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We show that the low-energy electronic structure of graphene under a one-dimensional inhomogeneous magnetic field can be mapped into that of graphene under an electric field or vice versa. As a direct application of this transformation, we…

介观与纳米尺度物理 · 物理学 2010-05-31 Liang Zheng Tan , Cheol-Hwan Park , Steven G. Louie

The Dirac point and linear band structure in Graphene bestow it with remarkable electronic and optical properties, a subject of intense ongoing research. Explanations of high electronic mobility in graphene, often invoke the masslessness of…

介观与纳米尺度物理 · 物理学 2019-03-21 Chaitanya K. Ullal , Jian Shi , Ravishankar Sundararaman

Electron scattering problem in the monolayer graphene with short-range impurities is considered. The main novel element in the suggested model is the band asymmetry of the defect potential in the 2+1-dimensional Dirac equation. This…

介观与纳米尺度物理 · 物理学 2013-05-29 Natalie E. Firsova

We solve the Dirac equation, which describes charge massless chiral relativistic carriers in a two-dimensional graphene. We have identified and analysed a novel pseudospin-dependent scattering effect. We compute the tunneling conductance…

介观与纳米尺度物理 · 物理学 2012-11-21 Dima Bolmatov , D. V. Zavialov

We consider resonant scatterers with large scattering cross-sections in graphene that are produced by a gated disk or a vacancy, and show that a gated ring can be engineered to produce an efficient electron cloak. We also demonstrate that…

介观与纳米尺度物理 · 物理学 2015-04-23 Diego Oliver , Jose H. Garcia , Tatiana G. Rappoport , N. M. R. Peres , Felipe A. Pinheiro

The paper reports a theoretical study of scattering of electrons by edges in graphene and its effect on Raman scattering. First, effective models are discussed for translationally invariant and rough edges. Second, they are used in a…

材料科学 · 物理学 2009-05-28 D. M. Basko

The behavior of electrons in strained graphene is usually described using effective pseudomagnetic fields in a Dirac equation. Here we consider the particular case of a spatially constant strain. Our results indicate that lattice…

介观与纳米尺度物理 · 物理学 2013-09-10 M. Oliva-Leyva , G. G. Naumis

We study the scattering of Dirac electrons of circular graphene quantum dot with mass-inverted subject to electrostatic potential. The obtained solutions of the energy spectrum are used to determine the scattering coefficients at the…

介观与纳米尺度物理 · 物理学 2022-08-10 Fatima Belokda , Ahmed Jellal , El Houssine Atmani

We extend the conventional transfer matrix method to include anisotropic features for electron transmission in two-dimensional materials, such as breaking reflection law in pseudo-spin phases and wave vectors. This method allows to study…

材料科学 · 物理学 2022-12-15 Erik Díaz-Bautista , Yonatan Betancur-Ocampo , Alfredo Raya

In graphene, long-wavelength deformations that result in elastic shear strain couple to the low-energy Dirac electrons as pseudogauge fields. Using a scalable tight-binding model, we consider analogs to magnetotransport in mesoscopic…

We investigate thermoelectric transport in monolayer graphene across a finite complex barrier within a Landauer scattering framework. Solving the Dirac-Weyl problem exactly, we show that the imaginary part of the barrier renders the…

介观与纳米尺度物理 · 物理学 2026-05-20 Daniel A. Bonilla , Juan A. Cañas , J. C. Pérez-Pedraza , A. Martín-Ruiz

Scattering problem for electrons in monolayer graphene with short-range perturbations of the types "local chemical potential" and "local gap" has been solved. Zero gap and non-zero gap kinds of graphene are considered. The determined…

介观与纳米尺度物理 · 物理学 2015-05-14 Natalie E. Firsova , Sergey A. Ktitorov

It is known that the excitations in graphene-like materials in external electromagnetic field are described by solutions of massless two-dimensional Dirac equation which includes both Hermitian off-diagonal matrix and scalar potentials. Up…

介观与纳米尺度物理 · 物理学 2024-01-23 Mikhail V. Ioffe , David N. Nishnianidze

This work analyzes monolayer graphene in external electromagnetic fields, which is described by the Dirac equation with minimal coupling. Supersymmetric quantum mechanics allows building new Dirac equations with modified magnetic fields.…

介观与纳米尺度物理 · 物理学 2022-09-07 Miguel Castillo-Celeita , Alonso Contreras-Astorga , David J. Fernández C

This paper concerns the asymmetric transport associated with a low-energy interface Dirac model of graphene-type materials subject to external magnetic and electric fields. We show that the relevant physical observable, an interface…

数学物理 · 物理学 2024-05-22 Solomon Quinn , Guillaume Bal

Detecting the carrier scattering mechanisms in a materials system is important for transport related science and engineering. The approaches of fast laser process and electrical conductivity matching were used in previous literature, which…

材料科学 · 物理学 2014-10-21 Shuang Tang , Mildred S. Dresselhaus

Numerical transfer matrices have been widely used in the study of wave propagation and scattering. These may be viewed as descretizations of a recently introduced fundamental notion of transfer matrix which admits a representation in terms…

经典物理 · 物理学 2023-10-03 Farhang Loran , Ali Mostafazadeh

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…

介观与纳米尺度物理 · 物理学 2020-04-01 Farhana Anwar , Andrii Iurov , Danhong Huang , Godfrey Gumbs , Ashwani Sharma

Interaction of graphene with a defect layer of a 1D defective photonic structure correspondingly could open a Dirac gap in its nonlinear energy dispersion. Also, an excitonic gap could be created upon applied strong magnetic fields at low…

介观与纳米尺度物理 · 物理学 2019-01-30 Dariush Jahani

We consider electronic transport accross one-dimensional heterostructures described by the Dirac equation. We discuss the cases where both the velocity and the mass are position dependent. We show how to generalize the Dirac Hamiltonian in…

介观与纳米尺度物理 · 物理学 2009-02-02 N. M. R. Peres