Magnetic-field dependence of low-lying spectra in bilayer graphene-based magnetic dots and rings

C. M. Lee; Richard C.H. Lee; W. Y. Ruan; M. Y. Chou; A. Vyas

doi:10.1016/j.ssc.2012.11.024

Magnetic-field dependence of low-lying spectra in bilayer graphene-based magnetic dots and rings

C. M. Lee
, Richard C.H. Lee
, W. Y. Ruan
, M. Y. Chou
, A. Vyas

Division of Science, Engineering and Health Studies (SEHS)

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

2 Citations (Scopus)

Abstract

The low-lying energy spectra of bilayer graphene in a perpendicular magnetic field B(r)ẑ were obtained by numerical diagonalization of the Hamiltonian. We assumed that B(r) takes on the shape of a circular dot or a ring. Under such a nonuniform field, the lowest-energy Landau levels, with ^N-=0,1, remain invariant with a zero eigenvalue. For other Landau levels, complicated level-splitting and level-crossings take place when the effective radius of the dot or ring increases.

Original language	English
Pages (from-to)	49-53
Number of pages	5
Journal	Solid State Communications
Volume	156
DOIs	https://doi.org/10.1016/j.ssc.2012.11.024
Publication status	Published - Mar 2013

Keywords

A. Bilayer graphene
A. Magnetic dot
A. Magnetic ring

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10.1016/j.ssc.2012.11.024

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title = "Magnetic-field dependence of low-lying spectra in bilayer graphene-based magnetic dots and rings",

abstract = "The low-lying energy spectra of bilayer graphene in a perpendicular magnetic field B(r)ẑ were obtained by numerical diagonalization of the Hamiltonian. We assumed that B(r) takes on the shape of a circular dot or a ring. Under such a nonuniform field, the lowest-energy Landau levels, with N-=0,1, remain invariant with a zero eigenvalue. For other Landau levels, complicated level-splitting and level-crossings take place when the effective radius of the dot or ring increases.",

keywords = "A. Bilayer graphene, A. Magnetic dot, A. Magnetic ring",

author = "Lee, \{C. M.\} and Lee, \{Richard C.H.\} and Ruan, \{W. Y.\} and Chou, \{M. Y.\} and A. Vyas",

note = "Funding Information: This work is supported by the U.S. Department of Energy Grant No. DE-FG02-97ER45632 .",

year = "2013",

month = mar,

doi = "10.1016/j.ssc.2012.11.024",

language = "English",

volume = "156",

pages = "49--53",

journal = "Solid State Communications",

issn = "0038-1098",

publisher = "Elsevier Ltd.",

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TY - JOUR

T1 - Magnetic-field dependence of low-lying spectra in bilayer graphene-based magnetic dots and rings

AU - Lee, C. M.

AU - Lee, Richard C.H.

AU - Ruan, W. Y.

AU - Chou, M. Y.

AU - Vyas, A.

N1 - Funding Information: This work is supported by the U.S. Department of Energy Grant No. DE-FG02-97ER45632 .

PY - 2013/3

Y1 - 2013/3

N2 - The low-lying energy spectra of bilayer graphene in a perpendicular magnetic field B(r)ẑ were obtained by numerical diagonalization of the Hamiltonian. We assumed that B(r) takes on the shape of a circular dot or a ring. Under such a nonuniform field, the lowest-energy Landau levels, with N-=0,1, remain invariant with a zero eigenvalue. For other Landau levels, complicated level-splitting and level-crossings take place when the effective radius of the dot or ring increases.

AB - The low-lying energy spectra of bilayer graphene in a perpendicular magnetic field B(r)ẑ were obtained by numerical diagonalization of the Hamiltonian. We assumed that B(r) takes on the shape of a circular dot or a ring. Under such a nonuniform field, the lowest-energy Landau levels, with N-=0,1, remain invariant with a zero eigenvalue. For other Landau levels, complicated level-splitting and level-crossings take place when the effective radius of the dot or ring increases.

KW - A. Bilayer graphene

KW - A. Magnetic dot

KW - A. Magnetic ring

UR - https://www.scopus.com/pages/publications/84873591336

U2 - 10.1016/j.ssc.2012.11.024

DO - 10.1016/j.ssc.2012.11.024

M3 - Article

AN - SCOPUS:84873591336

SN - 0038-1098

VL - 156

SP - 49

EP - 53

JO - Solid State Communications

JF - Solid State Communications

ER -

Magnetic-field dependence of low-lying spectra in bilayer graphene-based magnetic dots and rings

Abstract

Keywords

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