Quasi-bound states in an NPN-type nanometer-scale graphene quantum dot under a magnetic field

Abstract We solve the quasi-bound state-energy spectra and wavefunctions of an NPN-type graphene quantum dot under a perpendicular magnetic field. The evolution of the quasi-bound state spectra under the magnetic field is investigated using a Wentzel–Kramers–Brillouin approximation. In numerical cal...

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Main Authors: Yueting Pan, Haijiao Ji, Xin-Qi Li, Haiwen Liu
Format: Article
Language:English
Published: Nature Portfolio 2020-11-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-020-77357-8
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author Yueting Pan
Haijiao Ji
Xin-Qi Li
Haiwen Liu
author_facet Yueting Pan
Haijiao Ji
Xin-Qi Li
Haiwen Liu
author_sort Yueting Pan
collection DOAJ
description Abstract We solve the quasi-bound state-energy spectra and wavefunctions of an NPN-type graphene quantum dot under a perpendicular magnetic field. The evolution of the quasi-bound state spectra under the magnetic field is investigated using a Wentzel–Kramers–Brillouin approximation. In numerical calculations, we also show that the twofold energy degeneracy of the opposite angular momenta breaks under a weak magnetic field. As the magnetic field strengthens, this phenomenon produces an observable splitting of the energy spectrum. Our results demonstrate the relation between the quasi-bound state-energy spectrum in graphene quantum dots and magnetic field strength, which is relevant to recent measurements in scanning tunneling microscopy.
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spelling doaj.art-889b259b338043f7bff6cd6a08d6698b2022-12-21T21:52:42ZengNature PortfolioScientific Reports2045-23222020-11-011011910.1038/s41598-020-77357-8Quasi-bound states in an NPN-type nanometer-scale graphene quantum dot under a magnetic fieldYueting Pan0Haijiao Ji1Xin-Qi Li2Haiwen Liu3Center for Advanced Quantum Studies, Department of Physics, Beijing Normal UniversityCenter for Advanced Quantum Studies, Department of Physics, Beijing Normal UniversityCenter for Joint Quantum Studies, School of Science, Tianjin UniversityCenter for Advanced Quantum Studies, Department of Physics, Beijing Normal UniversityAbstract We solve the quasi-bound state-energy spectra and wavefunctions of an NPN-type graphene quantum dot under a perpendicular magnetic field. The evolution of the quasi-bound state spectra under the magnetic field is investigated using a Wentzel–Kramers–Brillouin approximation. In numerical calculations, we also show that the twofold energy degeneracy of the opposite angular momenta breaks under a weak magnetic field. As the magnetic field strengthens, this phenomenon produces an observable splitting of the energy spectrum. Our results demonstrate the relation between the quasi-bound state-energy spectrum in graphene quantum dots and magnetic field strength, which is relevant to recent measurements in scanning tunneling microscopy.https://doi.org/10.1038/s41598-020-77357-8
spellingShingle Yueting Pan
Haijiao Ji
Xin-Qi Li
Haiwen Liu
Quasi-bound states in an NPN-type nanometer-scale graphene quantum dot under a magnetic field
Scientific Reports
title Quasi-bound states in an NPN-type nanometer-scale graphene quantum dot under a magnetic field
title_full Quasi-bound states in an NPN-type nanometer-scale graphene quantum dot under a magnetic field
title_fullStr Quasi-bound states in an NPN-type nanometer-scale graphene quantum dot under a magnetic field
title_full_unstemmed Quasi-bound states in an NPN-type nanometer-scale graphene quantum dot under a magnetic field
title_short Quasi-bound states in an NPN-type nanometer-scale graphene quantum dot under a magnetic field
title_sort quasi bound states in an npn type nanometer scale graphene quantum dot under a magnetic field
url https://doi.org/10.1038/s41598-020-77357-8
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AT xinqili quasiboundstatesinannpntypenanometerscalegraphenequantumdotunderamagneticfield
AT haiwenliu quasiboundstatesinannpntypenanometerscalegraphenequantumdotunderamagneticfield