Magnetically confined states of Dirac electrons in a graphene-based quantum annulus

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Published 27 October 2009 Europhysics Letters Association
, , Citation Dali Wang and Guojun Jin 2009 EPL 88 17011 DOI 10.1209/0295-5075/88/17011

0295-5075/88/1/17011

Abstract

We propose to confine massless Dirac fermions in a graphene-based quantum annulus induced by an inhomogeneous magnetic field. It is found that influenced by an effective magnetic potential well the degeneracies of the relativistic Landau levels can be lifted, and the angular-momentum transitions in the ground state can occur by adjusting the geometry of the annulus and/or the magnitude of the magnetic field. Especially for high magnetic fields the system can form the strongly localized states in the annulus and around its boundaries, and some energy levels can reconverge to the Landau levels. Moreover, it is predicted that the dipole-allowed optical transitions between the low-lying energy levels can be measured by far-infrared spectroscopy, and the optical spectrum consists of a series of unequally spaced peaks.

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10.1209/0295-5075/88/17011