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

Citation:
Lee, CM, Lee RCH, Ruan WY, Chou MY, Vyas A.  2013.  Magnetic-field dependence of low-lying spectra in bilayer graphene-based magnetic dots and rings, Mar. Solid State Communications. 156:49-53.

Abstract:

The low-lying energy spectra of bilayer graphene in a perpendicular magnetic field B(r)(z) over cap 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. (C) 2012 Elsevier Ltd. All rights reserved.

Notes:

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