Quasi-one-dimensional graphene structure: Study of finite bandgap and effective mass with width

A tight-binding approach comprising a pz orbital basis set is employed to induce a bandgap in massless Dirac Fermion, graphene. The role of the structural parameter, chirality, has been explored to determine the electronic band structure of armchair graphene nanoribbon (AGNR). The present results...

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Main Author: Monika Khetarpal
Format: Article
Language:English
Published: Prince of Songkla University 2022-04-01
Series:Songklanakarin Journal of Science and Technology (SJST)
Subjects:
Online Access:https://rdo.psu.ac.th/sjst/journal/44-2/1.pdf
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author Monika Khetarpal
author_facet Monika Khetarpal
author_sort Monika Khetarpal
collection DOAJ
description A tight-binding approach comprising a pz orbital basis set is employed to induce a bandgap in massless Dirac Fermion, graphene. The role of the structural parameter, chirality, has been explored to determine the electronic band structure of armchair graphene nanoribbon (AGNR). The present results show that the key parameter, the bandgap in quasi-one-dimensional graphene nanoribbon, arises from quantum confinement. It is observed that the total number of carbon atoms present in the overall unit cell of AGNR is equal to the total number of subbands in the corresponding electronic structure. Important band structure parameter effective mass is computed from the parabolic region of the band structure. A decreasing trend of energy bandgap and effective mass as a function of width has been reported. Our results demonstrated that armchair graphene nanoribbon can be divided into three families 3p, 3p+1, and 3p+2, p is an integer. In addition, the electronic density of states at different chirality values has been studied, to support our findings of the electronic band structure.
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spelling doaj.art-9bb2c63c36124fab9a10d63d9eaf89e32022-12-22T04:09:19ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952022-04-0144228929510.14456/sjst-psu.2022.41Quasi-one-dimensional graphene structure: Study of finite bandgap and effective mass with widthMonika Khetarpal0Department of Physics, Government Dungar College, Bikaner, 334001 IndiaA tight-binding approach comprising a pz orbital basis set is employed to induce a bandgap in massless Dirac Fermion, graphene. The role of the structural parameter, chirality, has been explored to determine the electronic band structure of armchair graphene nanoribbon (AGNR). The present results show that the key parameter, the bandgap in quasi-one-dimensional graphene nanoribbon, arises from quantum confinement. It is observed that the total number of carbon atoms present in the overall unit cell of AGNR is equal to the total number of subbands in the corresponding electronic structure. Important band structure parameter effective mass is computed from the parabolic region of the band structure. A decreasing trend of energy bandgap and effective mass as a function of width has been reported. Our results demonstrated that armchair graphene nanoribbon can be divided into three families 3p, 3p+1, and 3p+2, p is an integer. In addition, the electronic density of states at different chirality values has been studied, to support our findings of the electronic band structure.https://rdo.psu.ac.th/sjst/journal/44-2/1.pdfagnrelectronic band structureeffective massnano-ribbon width
spellingShingle Monika Khetarpal
Quasi-one-dimensional graphene structure: Study of finite bandgap and effective mass with width
Songklanakarin Journal of Science and Technology (SJST)
agnr
electronic band structure
effective mass
nano-ribbon width
title Quasi-one-dimensional graphene structure: Study of finite bandgap and effective mass with width
title_full Quasi-one-dimensional graphene structure: Study of finite bandgap and effective mass with width
title_fullStr Quasi-one-dimensional graphene structure: Study of finite bandgap and effective mass with width
title_full_unstemmed Quasi-one-dimensional graphene structure: Study of finite bandgap and effective mass with width
title_short Quasi-one-dimensional graphene structure: Study of finite bandgap and effective mass with width
title_sort quasi one dimensional graphene structure study of finite bandgap and effective mass with width
topic agnr
electronic band structure
effective mass
nano-ribbon width
url https://rdo.psu.ac.th/sjst/journal/44-2/1.pdf
work_keys_str_mv AT monikakhetarpal quasionedimensionalgraphenestructurestudyoffinitebandgapandeffectivemasswithwidth