Enhancing the energy spectrum of graphene quantum dot with external magnetic and Aharonov-Bohm flux fields

Fernando Adan Serrano Orozco; Juan Gerardo Avalos Ochoa; Xochitl Cabrera Rivas; Jose Luis Cuevas Figueroa; Hugo Moises Martinez Carrada

doi:10.1016/j.heliyon.2019.e02224

Enhancing the energy spectrum of graphene quantum dot with external magnetic and Aharonov-Bohm flux fields

Fernando Adan Serrano Orozco, Juan Gerardo Avalos Ochoa, Xochitl Cabrera Rivas, Jose Luis Cuevas Figueroa, Hugo Moises Martinez Carrada

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Culhuacán

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

7 Scopus citations

Abstract

In this paper, we have to apply the Dirac-Weyl equation to find the analytical energy eigenvalues of the graphene quantum dot interacting in the presence of AB-flux field and external magnetic field. We find that the energy eigenvalue of the graphene quantum dot decreases with both magnetic and AB-flux field but the effect of AB-flux field is more dominant. By ameliorating the intensity of the AB-flux field and keeping the magnetic field constant, the quantum-dot states entangled to produce Landau Levels. We show that besides using the graphene sheet and external magnetic field, the Aharonov-Bohm AB-flux field could as well be used to manipulate the carriers state energies in graphene.

Original language	English
Article number	e02224
Journal	Heliyon
Volume	5
Issue number	8
DOIs	https://doi.org/10.1016/j.heliyon.2019.e02224
State	Published - Aug 2019

Keywords

AB-flux field
Dirac-Weyl equation
Energy eigenvalues
Graphene quantum dot
Landau Levels
Quantum mechanics

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10.1016/j.heliyon.2019.e02224

Cite this

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title = "Enhancing the energy spectrum of graphene quantum dot with external magnetic and Aharonov-Bohm flux fields",

abstract = "In this paper, we have to apply the Dirac-Weyl equation to find the analytical energy eigenvalues of the graphene quantum dot interacting in the presence of AB-flux field and external magnetic field. We find that the energy eigenvalue of the graphene quantum dot decreases with both magnetic and AB-flux field but the effect of AB-flux field is more dominant. By ameliorating the intensity of the AB-flux field and keeping the magnetic field constant, the quantum-dot states entangled to produce Landau Levels. We show that besides using the graphene sheet and external magnetic field, the Aharonov-Bohm AB-flux field could as well be used to manipulate the carriers state energies in graphene.",

keywords = "AB-flux field, Dirac-Weyl equation, Energy eigenvalues, Graphene quantum dot, Landau Levels, Quantum mechanics",

author = "{Serrano Orozco}, {Fernando Adan} and {Avalos Ochoa}, {Juan Gerardo} and Rivas, {Xochitl Cabrera} and {Cuevas Figueroa}, {Jose Luis} and Carrada, {Hugo Moises Martinez}",

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T1 - Enhancing the energy spectrum of graphene quantum dot with external magnetic and Aharonov-Bohm flux fields

AU - Serrano Orozco, Fernando Adan

AU - Avalos Ochoa, Juan Gerardo

AU - Rivas, Xochitl Cabrera

AU - Cuevas Figueroa, Jose Luis

AU - Carrada, Hugo Moises Martinez

PY - 2019/8

Y1 - 2019/8

N2 - In this paper, we have to apply the Dirac-Weyl equation to find the analytical energy eigenvalues of the graphene quantum dot interacting in the presence of AB-flux field and external magnetic field. We find that the energy eigenvalue of the graphene quantum dot decreases with both magnetic and AB-flux field but the effect of AB-flux field is more dominant. By ameliorating the intensity of the AB-flux field and keeping the magnetic field constant, the quantum-dot states entangled to produce Landau Levels. We show that besides using the graphene sheet and external magnetic field, the Aharonov-Bohm AB-flux field could as well be used to manipulate the carriers state energies in graphene.

AB - In this paper, we have to apply the Dirac-Weyl equation to find the analytical energy eigenvalues of the graphene quantum dot interacting in the presence of AB-flux field and external magnetic field. We find that the energy eigenvalue of the graphene quantum dot decreases with both magnetic and AB-flux field but the effect of AB-flux field is more dominant. By ameliorating the intensity of the AB-flux field and keeping the magnetic field constant, the quantum-dot states entangled to produce Landau Levels. We show that besides using the graphene sheet and external magnetic field, the Aharonov-Bohm AB-flux field could as well be used to manipulate the carriers state energies in graphene.

KW - AB-flux field

KW - Dirac-Weyl equation

KW - Energy eigenvalues

KW - Graphene quantum dot

KW - Landau Levels

KW - Quantum mechanics

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U2 - 10.1016/j.heliyon.2019.e02224

DO - 10.1016/j.heliyon.2019.e02224

M3 - Artículo

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AN - SCOPUS:85074378008

SN - 2405-8440

VL - 5

JO - Heliyon

JF - Heliyon

IS - 8

M1 - e02224

ER -

Enhancing the energy spectrum of graphene quantum dot with external magnetic and Aharonov-Bohm flux fields

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