Electrostatic and magnetic fields in bilayer graphene

Ahmed Jellal; Ilham Redouani; Hocine Bahlouli

doi:10.1016/j.physe.2015.04.026

Electrostatic and magnetic fields in bilayer graphene

Ahmed Jellal^*, Ilham Redouani, Hocine Bahlouli

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We compute the transmission probability through rectangular potential barriers and p-n junctions in the presence of a magnetic and electric fields in bilayer graphene taking into account contributions from the full four bands of the energy spectrum. For energy E higher than the interlayer coupling γ₁ (E>^γ1) two propagation modes are available for transport giving rise to four possible ways for transmission and reflection coefficients. However, when the energy is less than the height of the barrier the Dirac fermions exhibit transmission resonances and only one mode of propagation is available for transport. We study the effect of the interlayer electrostatic potential denoted by δ and variations of different barrier geometry parameters on the transmission probability.

Original language	English
Pages (from-to)	149-159
Number of pages	11
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	72
DOIs	https://doi.org/10.1016/j.physe.2015.04.026
State	Published - 1 Aug 2015

Bibliographical note

Publisher Copyright:
© 2015 Elsevier B.V. All rights reserved.

Keywords

Barriers
Bilayer graphene
Conductance
Scattering
Transmission

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Condensed Matter Physics

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10.1016/j.physe.2015.04.026

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T1 - Electrostatic and magnetic fields in bilayer graphene

AU - Jellal, Ahmed

AU - Redouani, Ilham

AU - Bahlouli, Hocine

PY - 2015/8/1

Y1 - 2015/8/1

N2 - We compute the transmission probability through rectangular potential barriers and p-n junctions in the presence of a magnetic and electric fields in bilayer graphene taking into account contributions from the full four bands of the energy spectrum. For energy E higher than the interlayer coupling γ1 (E>γ1) two propagation modes are available for transport giving rise to four possible ways for transmission and reflection coefficients. However, when the energy is less than the height of the barrier the Dirac fermions exhibit transmission resonances and only one mode of propagation is available for transport. We study the effect of the interlayer electrostatic potential denoted by δ and variations of different barrier geometry parameters on the transmission probability.

AB - We compute the transmission probability through rectangular potential barriers and p-n junctions in the presence of a magnetic and electric fields in bilayer graphene taking into account contributions from the full four bands of the energy spectrum. For energy E higher than the interlayer coupling γ1 (E>γ1) two propagation modes are available for transport giving rise to four possible ways for transmission and reflection coefficients. However, when the energy is less than the height of the barrier the Dirac fermions exhibit transmission resonances and only one mode of propagation is available for transport. We study the effect of the interlayer electrostatic potential denoted by δ and variations of different barrier geometry parameters on the transmission probability.

KW - Barriers

KW - Bilayer graphene

KW - Conductance

KW - Scattering

KW - Transmission

UR - https://www.scopus.com/pages/publications/84929176613

U2 - 10.1016/j.physe.2015.04.026

DO - 10.1016/j.physe.2015.04.026

M3 - Article

AN - SCOPUS:84929176613

SN - 1386-9477

VL - 72

SP - 149

EP - 159

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

ER -

Electrostatic and magnetic fields in bilayer graphene

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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