Effect of magnetic field on Goos-Hänchen shifts in gaped graphene triangular barrier

Miloud Mekkaoui; Ahmed Jellal; Hocine Bahlouli

doi:10.1016/j.physe.2019.03.018

Effect of magnetic field on Goos-Hänchen shifts in gaped graphene triangular barrier

Miloud Mekkaoui, Ahmed Jellal^*, Hocine Bahlouli

^*Corresponding author for this work

Department of Physics

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

9 Scopus citations

Abstract

We study the effect of a magnetic field on Goos-Hänchen shifts in gaped graphene subjected to a double triangular barrier. Solving the wave equation separately in each region composing our system and using the required boundary conditions, we then compute explicitly the transmission probability for scattered fermions. These wavefunctions are then used to derive the Goos-Hänchen shifts in terms of different physical parameters such as energy, electrostatic potential strength and magnetic field. Our numerical results show that the Goos-Hänchen shifts are affected by the presence of the magnetic field and depend on the geometrical structure of the triangular barrier.

Original language	English
Pages (from-to)	218-225
Number of pages	8
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	111
DOIs	https://doi.org/10.1016/j.physe.2019.03.018
State	Published - Jul 2019

Bibliographical note

Publisher Copyright:
© 2019

Keywords

Goos-Hänchen shifts
Graphene
Scattering
Triangular double barrier

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.2019.03.018

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title = "Effect of magnetic field on Goos-H{\"a}nchen shifts in gaped graphene triangular barrier",

abstract = "We study the effect of a magnetic field on Goos-H{\"a}nchen shifts in gaped graphene subjected to a double triangular barrier. Solving the wave equation separately in each region composing our system and using the required boundary conditions, we then compute explicitly the transmission probability for scattered fermions. These wavefunctions are then used to derive the Goos-H{\"a}nchen shifts in terms of different physical parameters such as energy, electrostatic potential strength and magnetic field. Our numerical results show that the Goos-H{\"a}nchen shifts are affected by the presence of the magnetic field and depend on the geometrical structure of the triangular barrier.",

keywords = "Goos-H{\"a}nchen shifts, Graphene, Scattering, Triangular double barrier",

author = "Miloud Mekkaoui and Ahmed Jellal and Hocine Bahlouli",

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T1 - Effect of magnetic field on Goos-Hänchen shifts in gaped graphene triangular barrier

AU - Mekkaoui, Miloud

AU - Jellal, Ahmed

AU - Bahlouli, Hocine

PY - 2019/7

Y1 - 2019/7

N2 - We study the effect of a magnetic field on Goos-Hänchen shifts in gaped graphene subjected to a double triangular barrier. Solving the wave equation separately in each region composing our system and using the required boundary conditions, we then compute explicitly the transmission probability for scattered fermions. These wavefunctions are then used to derive the Goos-Hänchen shifts in terms of different physical parameters such as energy, electrostatic potential strength and magnetic field. Our numerical results show that the Goos-Hänchen shifts are affected by the presence of the magnetic field and depend on the geometrical structure of the triangular barrier.

AB - We study the effect of a magnetic field on Goos-Hänchen shifts in gaped graphene subjected to a double triangular barrier. Solving the wave equation separately in each region composing our system and using the required boundary conditions, we then compute explicitly the transmission probability for scattered fermions. These wavefunctions are then used to derive the Goos-Hänchen shifts in terms of different physical parameters such as energy, electrostatic potential strength and magnetic field. Our numerical results show that the Goos-Hänchen shifts are affected by the presence of the magnetic field and depend on the geometrical structure of the triangular barrier.

KW - Goos-Hänchen shifts

KW - Graphene

KW - Scattering

KW - Triangular double barrier

UR - https://www.scopus.com/pages/publications/85063447526

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DO - 10.1016/j.physe.2019.03.018

M3 - Article

AN - SCOPUS:85063447526

SN - 1386-9477

VL - 111

SP - 218

EP - 225

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

ER -

Effect of magnetic field on Goos-Hänchen shifts in gaped graphene triangular barrier

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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