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Title: Magnetic edge states in Aharonov-Bohm graphene quantum rings

The effect of electron-electron interaction on the electronic structure of Aharonov-Bohm (AB) graphene quantum rings (GQRs) is explored theoretically using the single-band tight-binding Hamiltonian and the mean-field Hubbard model. The electronic states and magnetic properties of hexagonal, triangular, and circular GQRs with different sizes and zigzag edge terminations are studied. The results show that, although the AB oscillations in the all types of nanoring are affected by the interaction, the spin splitting in the AB oscillations strongly depends on the geometry and the size of graphene nanorings. We found that the total spin of hexagonal and circular rings is zero and therefore, no spin splitting can be observed in the AB oscillations. However, the non-zero magnetization of the triangular rings breaks the degeneracy between spin-up and spin-down electrons, which produces spin-polarized AB oscillations.
Authors:
;  [1] ;  [2] ;  [3]
  1. Department of Physics, University of Kashan, Kashan (Iran, Islamic Republic of)
  2. Department of Physics, Payame Noor University, P.O. Box 19395-3697 Tehran (Iran, Islamic Republic of)
  3. (Canada)
Publication Date:
OSTI Identifier:
22258695
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Applied Physics; Journal Volume: 114; Journal Issue: 21; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AHARONOV-BOHM EFFECT; ELECTRON-ELECTRON COLLISIONS; ELECTRON-ELECTRON COUPLING; ELECTRON-ELECTRON INTERACTIONS; ELECTRONIC STRUCTURE; GRAPHENE; HAMILTONIANS; HUBBARD MODEL; MAGNETIC PROPERTIES; MAGNETIZATION; MEAN-FIELD THEORY; OSCILLATIONS; SPIN; SPIN ORIENTATION