Magnetic edge states in Aharonov-Bohm graphene quantum rings
arXiv:1407.4220 · doi:10.1063/1.4842715
Abstract
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.
arXiv comment6 pages, 5 figures
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- Electronic properties of bilayer graphene with magnetic quantum structures studied using the Dirac equation
- Gas adsorption effects on electronic and magnetic properties of triangular graphene antidot lattices