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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Autores principales:	Haijiao Ji, Yueting Pan, Haiwen Liu
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2020
Materias:	Medicine R Science Q
Acceso en línea:	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
_version_	1718377442536587264

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

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