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The dynamics of charge particles described by Gaussian wave packet in monolayer graphene is studied analytically and numerically. We demonstrate that the shape of wave packet at arbitrary time depends on correlation between the initial…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. M. Maksimova , V. Ya. Demikhovskii , E. V. Frolova

Electrostatic confinement of charge carriers in graphene is governed by Klein tunneling, a relativistic quantum process in which particle-hole transmutation leads to unusual anisotropic transmission at pn junction boundaries. Reflection and…

Quantum confinement of graphene Dirac-like electrons in artificially crafted nanometer structures is a long sought goal that would provide a strategy to selectively tune the electronic properties of graphene, including bandgap opening or…

Quantum phenomena are relevant to the transport of light atoms and molecules through nanoporous two-dimensional (2D) membranes. Indeed, confinement provided by (sub-)nanometer pores enhances quantum effects such as tunneling and zero point…

Mesoscale and Nanoscale Physics · Physics 2017-10-09 Alfonso Gijón , José Campos-Martínez , Marta I. Hernández

Based on the Dirac equation, the behavior of relativistic electrons which tunnel a potential barrier of height V0 for incoming energies between V0 and V0+m is studied by using the wave packet formalism. The choice of this incoming energy…

Quantum Physics · Physics 2015-06-15 Stefano De Leo

We investigate the effect of strain along armchair and zigzag directions on electrical transport in graphene through a magnetic barrier and a linearly polarized electromagnetic wave. In the context of Floquet theory, the eigenvalues and…

Mesoscale and Nanoscale Physics · Physics 2023-02-01 Hasna Chnafa , Miloud Mekkaoui , Ahmed Jellal , Abdelhadi Bahaoui

We study how low-energy charge carriers scatter off periodic and linear graphene grain boundaries oriented along the zigzag direction with a periodicity three times greater than that of pristine graphene. These defects map the two Dirac…

Mesoscale and Nanoscale Physics · Physics 2016-10-25 J. N. B. Rodrigues

We investigate the strain effect on the Goos-H\"anchen (GH) shifts and group delay time for transmitted Dirac fermions in gapped graphene through a single barrier potential. The solutions of energy spectrum are used to compute the…

Mesoscale and Nanoscale Physics · Physics 2022-04-27 Miloud Mekkaoui , Youssef Fattasse , Ahmed Jellal

The time evolution of electron waves in graphene superlattices is studied using both microscopic and 'effective medium' formalisms. The numerical simulations reveal that in a wide range of physical scenarios it is possible to neglect the…

Mesoscale and Nanoscale Physics · Physics 2022-01-03 David E. Fernandes , Manuel Rodrigues , Gabriel Falcão , Mário G. Silveirinha

We theoretically study the electronic transport properties of Dirac fermions through one and double triangular barriers in graphene. Using the transfer matrix method, we determine the transmission, conductance and Fano factor. They are…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Abderrahim El Mouhafid , Ahmed Jellal

Single-layer graphene sheets are typically characterized by long-wavelength corrugations (ripples) which can be shown to be at the origin of rather strong potentials with both scalar and vector components. We present an extensive…

Mesoscale and Nanoscale Physics · Physics 2010-04-06 Marco Gibertini , Andrea Tomadin , Marco Polini , A. Fasolino , M. I. Katsnelson

A new type of self-similar potential is used to study a multibarrier system made of graphene. Such potential is based on the traditional middle third Cantor set rule combined with a scaling of the barriers height. The resulting transmission…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 D. S. Díaz-Guerrero , L. M. Gaggero-Sager , I. Rodríguez Vargas , G. G. Naumis

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…

Mesoscale and Nanoscale Physics · Physics 2015-04-23 Diego Oliver , Jose H. Garcia , Tatiana G. Rappoport , N. M. R. Peres , Felipe A. Pinheiro

Because of its large Fermi velocity, leading to a great mobility, graphene is expected to play an important role in (small signal) radio frequency electronics. Among other, graphene devices based on Klein tunneling phenomena are already…

Mesoscale and Nanoscale Physics · Physics 2023-01-24 Devashish Pandey , Matteo Villani , Enrique Colomés , Zhen Zhan , Xavier Oriols

Using the variable phase method, we reformulate the Dirac equation governing the charge carriers in graphene into a nonlinear first-order differential equation from which we can treat both confined-state problems in electron waveguides and…

Mesoscale and Nanoscale Physics · Physics 2012-09-11 D. A. Stone , C. A. Downing , M. E. Portnoi

The paper presents a theoretical description of the effects of strain induced by out-of-plane deformations on charge distributions and transport on graphene. A review of a continuum model for electrons using the Dirac formalism is…

Mesoscale and Nanoscale Physics · Physics 2019-10-15 Dawei Zhai , Nancy Sandler

The controlling of the transmission in the pseudospin-one Dirac-Weyl systems offers a rich tool to study new concepts of massive Dirac electron tunneling by means of a time-dependent potential. The time-periodic potential is one of the…

Materials Science · Physics 2022-05-04 Parisa Majari

Motivated by recent proposals on strain-engineering of graphene electronic circuits we calculate conductivity, shot-noise and the density of states in periodically deformed graphene. We provide the solution to the Dirac-Kronig-Penney model,…

Mesoscale and Nanoscale Physics · Physics 2010-10-13 S. Gattenloehner , W. Belzig , M. Titov

We investigated theoretically the transmission properties of Dirac Fermions tunneling through a periodically (sinusoidal and rectangular) driven electrostatic barrier in Monolayer graphene. For the time harmonic potential with moderate to…

Mesoscale and Nanoscale Physics · Physics 2025-02-14 R. Biswas , S. Mukhopadhyay , C. Sinha

In this paper we present generic properties of quantum transport in mono-layer graphene. In the scheme of the Kubo-Geenwood formula, we compute the square spreading of wave packets of a given energy with is directly related to conductivity.…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Guy Trambly de Laissardiere , Didier Mayou