Tunneling of electrons in graphene via double triangular barrier in external fields

Miloud Mekkaoui; Ahmed Jellal; Hocine Bahlouli

doi:10.1016/j.ssc.2022.114981

Tunneling of electrons in graphene via double triangular barrier in external fields

Miloud Mekkaoui, Ahmed Jellal^*, Hocine Bahlouli

^*Corresponding author for this work

Department of Physics

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

5 Scopus citations

Abstract

We study the transmission probability of Dirac fermions in graphene scattered by a triangular double barrier potential in the presence of an external magnetic field. Our system is made of two triangular potential barrier regions separated by a well region characterized by an energy gap. Solving our Dirac-like equation and matching the solutions at the boundaries allowed us to express our transmission and reflection coefficients in terms of transfer matrix. We show in particular that the transmission exhibits oscillation resonances that are a manifestation of the Klein tunneling effect. The strength of the electrostatic field giving rise to the triangular barrier was found to play a key role in controlling the tunneling peaks appearing in the resistance. However, it only slightly modifies the resonances at oblique incidence and leaves Klein paradox unaffected at normal incidence.

Original language	English
Article number	114981
Journal	Solid State Communications
Volume	358
DOIs	https://doi.org/10.1016/j.ssc.2022.114981
State	Published - 15 Dec 2022

Bibliographical note

Publisher Copyright:
© 2022 Elsevier Ltd

Keywords

Double barriers
Graphene
Magnetic field
Transmission

ASJC Scopus subject areas

General Chemistry
Condensed Matter Physics
Materials Chemistry

Access to Document

10.1016/j.ssc.2022.114981

Cite this

@article{b3f97854a8cb4cfea2303e078817f2d9,

title = "Tunneling of electrons in graphene via double triangular barrier in external fields",

abstract = "We study the transmission probability of Dirac fermions in graphene scattered by a triangular double barrier potential in the presence of an external magnetic field. Our system is made of two triangular potential barrier regions separated by a well region characterized by an energy gap. Solving our Dirac-like equation and matching the solutions at the boundaries allowed us to express our transmission and reflection coefficients in terms of transfer matrix. We show in particular that the transmission exhibits oscillation resonances that are a manifestation of the Klein tunneling effect. The strength of the electrostatic field giving rise to the triangular barrier was found to play a key role in controlling the tunneling peaks appearing in the resistance. However, it only slightly modifies the resonances at oblique incidence and leaves Klein paradox unaffected at normal incidence.",

keywords = "Double barriers, Graphene, Magnetic field, Transmission",

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

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",

year = "2022",

month = dec,

day = "15",

doi = "10.1016/j.ssc.2022.114981",

language = "English",

volume = "358",

journal = "Solid State Communications",

issn = "0038-1098",

publisher = "Elsevier Ltd.",

}

TY - JOUR

T1 - Tunneling of electrons in graphene via double triangular barrier in external fields

AU - Mekkaoui, Miloud

AU - Jellal, Ahmed

AU - Bahlouli, Hocine

PY - 2022/12/15

Y1 - 2022/12/15

N2 - We study the transmission probability of Dirac fermions in graphene scattered by a triangular double barrier potential in the presence of an external magnetic field. Our system is made of two triangular potential barrier regions separated by a well region characterized by an energy gap. Solving our Dirac-like equation and matching the solutions at the boundaries allowed us to express our transmission and reflection coefficients in terms of transfer matrix. We show in particular that the transmission exhibits oscillation resonances that are a manifestation of the Klein tunneling effect. The strength of the electrostatic field giving rise to the triangular barrier was found to play a key role in controlling the tunneling peaks appearing in the resistance. However, it only slightly modifies the resonances at oblique incidence and leaves Klein paradox unaffected at normal incidence.

AB - We study the transmission probability of Dirac fermions in graphene scattered by a triangular double barrier potential in the presence of an external magnetic field. Our system is made of two triangular potential barrier regions separated by a well region characterized by an energy gap. Solving our Dirac-like equation and matching the solutions at the boundaries allowed us to express our transmission and reflection coefficients in terms of transfer matrix. We show in particular that the transmission exhibits oscillation resonances that are a manifestation of the Klein tunneling effect. The strength of the electrostatic field giving rise to the triangular barrier was found to play a key role in controlling the tunneling peaks appearing in the resistance. However, it only slightly modifies the resonances at oblique incidence and leaves Klein paradox unaffected at normal incidence.

KW - Double barriers

KW - Graphene

KW - Magnetic field

KW - Transmission

UR - http://www.scopus.com/inward/record.url?scp=85140884954&partnerID=8YFLogxK

U2 - 10.1016/j.ssc.2022.114981

DO - 10.1016/j.ssc.2022.114981

M3 - Article

AN - SCOPUS:85140884954

SN - 0038-1098

VL - 358

JO - Solid State Communications

JF - Solid State Communications

M1 - 114981

ER -

Tunneling of electrons in graphene via double triangular barrier in external fields

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this