Transmission through biased graphene strip

H. Bahlouli; E. B. Choubabi; A. El Mouhafid; A. Jellal

doi:10.1016/j.ssc.2011.06.029

Transmission through biased graphene strip

H. Bahlouli, E. B. Choubabi, A. El Mouhafid, A. Jellal^*

^*Corresponding author for this work

Department of Physics

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

10 Scopus citations

Abstract

We solve the 2D Dirac equation describing graphene in the presence of a linear vector potential. The discretization of the transverse momentum due to the infinite mass boundary condition reduced our 2D Dirac equation to an effective massive 1D Dirac equation with an effective mass equal to the quantized transverse momentum. We use both a numerical Poincaré map approach, based on space discretization of the original Dirac equation, and a direct analytical method. These two approaches have been used to study tunneling phenomena through a biased graphene strip. The numerical results generated by the Poincaré map are in complete agreement with the analytical results.

Original language	English
Pages (from-to)	1309-1313
Number of pages	5
Journal	Solid State Communications
Volume	151
Issue number	19
DOIs	https://doi.org/10.1016/j.ssc.2011.06.029
State	Published - Oct 2011

Bibliographical note

Funding Information:
The generous support provided by the Saudi Center for Theoretical Physics (SCTP) is highly appreciated by all authors. AJ acknowledges partial support by the King Faisal University , and EBC and AE acknowledge the support by KACST . We also acknowledge the support of KFUPM under project RG1108-1-2. We would like to express our deep appreciation for the very constructive comments made by the referee.

Keywords

A. Graphene
D. Linear potential
D. Tunneling
E. Dirac

ASJC Scopus subject areas

General Chemistry
Condensed Matter Physics
Materials Chemistry

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10.1016/j.ssc.2011.06.029

Cite this

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title = "Transmission through biased graphene strip",

abstract = "We solve the 2D Dirac equation describing graphene in the presence of a linear vector potential. The discretization of the transverse momentum due to the infinite mass boundary condition reduced our 2D Dirac equation to an effective massive 1D Dirac equation with an effective mass equal to the quantized transverse momentum. We use both a numerical Poincar{\'e} map approach, based on space discretization of the original Dirac equation, and a direct analytical method. These two approaches have been used to study tunneling phenomena through a biased graphene strip. The numerical results generated by the Poincar{\'e} map are in complete agreement with the analytical results.",

keywords = "A. Graphene, D. Linear potential, D. Tunneling, E. Dirac",

author = "H. Bahlouli and Choubabi, \{E. B.\} and \{El Mouhafid\}, A. and A. Jellal",

note = "Funding Information: The generous support provided by the Saudi Center for Theoretical Physics (SCTP) is highly appreciated by all authors. AJ acknowledges partial support by the King Faisal University , and EBC and AE acknowledge the support by KACST . We also acknowledge the support of KFUPM under project RG1108-1-2. We would like to express our deep appreciation for the very constructive comments made by the referee.",

year = "2011",

month = oct,

doi = "10.1016/j.ssc.2011.06.029",

language = "English",

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journal = "Solid State Communications",

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AU - Bahlouli, H.

AU - Choubabi, E. B.

AU - El Mouhafid, A.

AU - Jellal, A.

N1 - Funding Information: The generous support provided by the Saudi Center for Theoretical Physics (SCTP) is highly appreciated by all authors. AJ acknowledges partial support by the King Faisal University , and EBC and AE acknowledge the support by KACST . We also acknowledge the support of KFUPM under project RG1108-1-2. We would like to express our deep appreciation for the very constructive comments made by the referee.

PY - 2011/10

Y1 - 2011/10

N2 - We solve the 2D Dirac equation describing graphene in the presence of a linear vector potential. The discretization of the transverse momentum due to the infinite mass boundary condition reduced our 2D Dirac equation to an effective massive 1D Dirac equation with an effective mass equal to the quantized transverse momentum. We use both a numerical Poincaré map approach, based on space discretization of the original Dirac equation, and a direct analytical method. These two approaches have been used to study tunneling phenomena through a biased graphene strip. The numerical results generated by the Poincaré map are in complete agreement with the analytical results.

AB - We solve the 2D Dirac equation describing graphene in the presence of a linear vector potential. The discretization of the transverse momentum due to the infinite mass boundary condition reduced our 2D Dirac equation to an effective massive 1D Dirac equation with an effective mass equal to the quantized transverse momentum. We use both a numerical Poincaré map approach, based on space discretization of the original Dirac equation, and a direct analytical method. These two approaches have been used to study tunneling phenomena through a biased graphene strip. The numerical results generated by the Poincaré map are in complete agreement with the analytical results.

KW - A. Graphene

KW - D. Linear potential

KW - D. Tunneling

KW - E. Dirac

UR - https://www.scopus.com/pages/publications/80051801294

U2 - 10.1016/j.ssc.2011.06.029

DO - 10.1016/j.ssc.2011.06.029

M3 - Article

AN - SCOPUS:80051801294

SN - 0038-1098

VL - 151

SP - 1309

EP - 1313

JO - Solid State Communications

JF - Solid State Communications

IS - 19

ER -

Transmission through biased graphene strip

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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