Evolution of quasi-bound states in the circular n–p junction of bilayer graphene under magnetic field

Abstract Electron in gapless bilayer graphene can form quasi-bound states when a circular symmetric potential is created in bilayer graphene. These quasi-bound states can be adjusted by tuning the radius and strength of the potential barrier. We investigate the evolution of quasi-bound states spectr...

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Main Authors: Haijiao Ji, Yueting Pan, Haiwen Liu
Format: article
Language:EN
Published: Nature Portfolio 2020
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Online Access:https://doaj.org/article/403b13b90b1346c1bc0b9c7d7d05ed6f
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spelling oai:doaj.org-article:403b13b90b1346c1bc0b9c7d7d05ed6f2021-12-02T18:51:07ZEvolution of quasi-bound states in the circular n–p junction of bilayer graphene under magnetic field10.1038/s41598-020-73377-62045-2322https://doaj.org/article/403b13b90b1346c1bc0b9c7d7d05ed6f2020-10-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-73377-6https://doaj.org/toc/2045-2322Abstract Electron in gapless bilayer graphene can form quasi-bound states when a circular symmetric potential is created in bilayer graphene. These quasi-bound states can be adjusted by tuning the radius and strength of the potential barrier. We investigate the evolution of quasi-bound states spectra in the circular n–p junction of bilayer graphene under the magnetic field numerically. The energy levels of opposite angular momentum split and the splitting increases with the magnetic field. Moreover, weak magnetic fields can slightly shift the energy levels of quasi-bound states. While strong magnetic fields induce additional resonances in the local density states, which originates from Landau levels. We demonstrate that these numerical results are consistent with the semiclassical analysis based on Wentzel–Kramers–Brillouin approximation. Our results can be verified experimentally via scanning tunneling microscopy measurements.Haijiao JiYueting PanHaiwen LiuNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-10 (2020)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Haijiao Ji
Yueting Pan
Haiwen Liu
Evolution of quasi-bound states in the circular n–p junction of bilayer graphene under magnetic field
description Abstract Electron in gapless bilayer graphene can form quasi-bound states when a circular symmetric potential is created in bilayer graphene. These quasi-bound states can be adjusted by tuning the radius and strength of the potential barrier. We investigate the evolution of quasi-bound states spectra in the circular n–p junction of bilayer graphene under the magnetic field numerically. The energy levels of opposite angular momentum split and the splitting increases with the magnetic field. Moreover, weak magnetic fields can slightly shift the energy levels of quasi-bound states. While strong magnetic fields induce additional resonances in the local density states, which originates from Landau levels. We demonstrate that these numerical results are consistent with the semiclassical analysis based on Wentzel–Kramers–Brillouin approximation. Our results can be verified experimentally via scanning tunneling microscopy measurements.
format article
author Haijiao Ji
Yueting Pan
Haiwen Liu
author_facet Haijiao Ji
Yueting Pan
Haiwen Liu
author_sort Haijiao Ji
title Evolution of quasi-bound states in the circular n–p junction of bilayer graphene under magnetic field
title_short Evolution of quasi-bound states in the circular n–p junction of bilayer graphene under magnetic field
title_full Evolution of quasi-bound states in the circular n–p junction of bilayer graphene under magnetic field
title_fullStr Evolution of quasi-bound states in the circular n–p junction of bilayer graphene under magnetic field
title_full_unstemmed Evolution of quasi-bound states in the circular n–p junction of bilayer graphene under magnetic field
title_sort evolution of quasi-bound states in the circular n–p junction of bilayer graphene under magnetic field
publisher Nature Portfolio
publishDate 2020
url https://doaj.org/article/403b13b90b1346c1bc0b9c7d7d05ed6f
work_keys_str_mv AT haijiaoji evolutionofquasiboundstatesinthecircularnpjunctionofbilayergrapheneundermagneticfield
AT yuetingpan evolutionofquasiboundstatesinthecircularnpjunctionofbilayergrapheneundermagneticfield
AT haiwenliu evolutionofquasiboundstatesinthecircularnpjunctionofbilayergrapheneundermagneticfield
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