Goos-Hänchen like shifts in graphene double barriers

Ahmed Jellal; Ilham Redouani; Youness Zahidi; Hocine Bahlouli

doi:10.1016/j.physe.2013.11.017

Goos-Hänchen like shifts in graphene double barriers

Ahmed Jellal^*, Ilham Redouani, Youness Zahidi, Hocine Bahlouli

^*Corresponding author for this work

Department of Physics

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

17 Scopus citations

Abstract

We study the Goos-Hänchen like shifts for Dirac fermions in graphene scattered by double barrier structures. After obtaining the solution for the energy spectrum, we use the boundary conditions to explicitly determine the Goos-Hänchen like shifts and the associated transmission probability. We analyze these two quantities at resonances by studying their main characteristics as a function of the energy and electrostatic potential parameters. To check the validity of our computations we recover previous results obtained for a single barrier under appropriate limits.

Original language	English
Pages (from-to)	30-37
Number of pages	8
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	58
DOIs	https://doi.org/10.1016/j.physe.2013.11.017
State	Published - Apr 2014

Bibliographical note

Funding Information:
The authors would like to acknowledge the support of King Fahd University of Petroleum and minerals under the theoretical physics research group project RG1306-1 and RG1306-2. The generous support provided by the Saudi Center for Theoretical Physics (SCTP) is highly appreciated by all authors. AJ thanks the Deanship of Scientific Research at King Faisal University for funding this research number ( 140232 ).

Keywords

Double barrier
Goos-Hänchen like shift
Graphene
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.2013.11.017

Cite this

@article{3326a9eca8624996acaffac51588d6bf,

title = "Goos-H{\"a}nchen like shifts in graphene double barriers",

abstract = "We study the Goos-H{\"a}nchen like shifts for Dirac fermions in graphene scattered by double barrier structures. After obtaining the solution for the energy spectrum, we use the boundary conditions to explicitly determine the Goos-H{\"a}nchen like shifts and the associated transmission probability. We analyze these two quantities at resonances by studying their main characteristics as a function of the energy and electrostatic potential parameters. To check the validity of our computations we recover previous results obtained for a single barrier under appropriate limits.",

keywords = "Double barrier, Goos-H{\"a}nchen like shift, Graphene, Scattering, Transmission",

author = "Ahmed Jellal and Ilham Redouani and Youness Zahidi and Hocine Bahlouli",

note = "Funding Information: The authors would like to acknowledge the support of King Fahd University of Petroleum and minerals under the theoretical physics research group project RG1306-1 and RG1306-2. The generous support provided by the Saudi Center for Theoretical Physics (SCTP) is highly appreciated by all authors. AJ thanks the Deanship of Scientific Research at King Faisal University for funding this research number ( 140232 ).",

year = "2014",

month = apr,

doi = "10.1016/j.physe.2013.11.017",

language = "English",

volume = "58",

pages = "30--37",

journal = "Physica E: Low-Dimensional Systems and Nanostructures",

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TY - JOUR

T1 - Goos-Hänchen like shifts in graphene double barriers

AU - Jellal, Ahmed

AU - Redouani, Ilham

AU - Zahidi, Youness

AU - Bahlouli, Hocine

N1 - Funding Information: The authors would like to acknowledge the support of King Fahd University of Petroleum and minerals under the theoretical physics research group project RG1306-1 and RG1306-2. The generous support provided by the Saudi Center for Theoretical Physics (SCTP) is highly appreciated by all authors. AJ thanks the Deanship of Scientific Research at King Faisal University for funding this research number ( 140232 ).

PY - 2014/4

Y1 - 2014/4

N2 - We study the Goos-Hänchen like shifts for Dirac fermions in graphene scattered by double barrier structures. After obtaining the solution for the energy spectrum, we use the boundary conditions to explicitly determine the Goos-Hänchen like shifts and the associated transmission probability. We analyze these two quantities at resonances by studying their main characteristics as a function of the energy and electrostatic potential parameters. To check the validity of our computations we recover previous results obtained for a single barrier under appropriate limits.

AB - We study the Goos-Hänchen like shifts for Dirac fermions in graphene scattered by double barrier structures. After obtaining the solution for the energy spectrum, we use the boundary conditions to explicitly determine the Goos-Hänchen like shifts and the associated transmission probability. We analyze these two quantities at resonances by studying their main characteristics as a function of the energy and electrostatic potential parameters. To check the validity of our computations we recover previous results obtained for a single barrier under appropriate limits.

KW - Double barrier

KW - Goos-Hänchen like shift

KW - Graphene

KW - Scattering

KW - Transmission

UR - https://www.scopus.com/pages/publications/84890275851

U2 - 10.1016/j.physe.2013.11.017

DO - 10.1016/j.physe.2013.11.017

M3 - Article

AN - SCOPUS:84890275851

SN - 1386-9477

VL - 58

SP - 30

EP - 37

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

ER -

Goos-Hänchen like shifts in graphene double barriers

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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