Magnetic edge states in Aharonov-Bohm graphene quantum rings

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.

6 pages, 5 figures

References in corpus (6)

• Magnetism in graphene nano-islands
• Aharonov-Bohm effect and broken valley-degeneracy in graphene rings
• Interplay of the Aharonov-Bohm effect and Klein tunneling in graphene
• Antiferromagnetism in hexagonal graphene structures: Rings vs dots
• Patterns of the Aharonov-Bohm oscillations in graphene nanorings
• Aharonov-Bohm effect in many-electron quantum rings

Cited by in corpus (4)

• Electric field control of spin-resolved edge states in graphene quantum nanorings
• A DFT study on the electronic and magnetic properties of triangular graphene antidot lattices
• Enhancement of Rashba spin-orbit coupling by electron-electron interaction
• Gas adsorption effects on electronic and magnetic properties of triangular graphene antidot lattices