2013
DOI: 10.1103/physrevb.87.085434
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Antiferromagnetism in hexagonal graphene structures: Rings versus dots

Abstract: The mean-field Hubbard model is used to investigate the formation of the antiferromagnetic phase in hexagonal graphene rings with inner zigzag edges. The outer edge of the ring was taken to be either zigzag or armchair, and we found that both types of structures can have a larger antiferromagnetic interaction as compared with hexagonal dots. This difference could be partially ascribed to the larger number of zigzag edges per unit area in rings than in dots. Furthermore, edge states localized on the inner ring … Show more

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Cited by 35 publications
(38 citation statements)
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“…[28][29][30]32 The origin of the spontaneous spin magnetism is still under debate, while it is supposed to be caused by the electron-electron interaction (neglected in this work) with the atomic defects, or highly degenerate edge states in zigzag edges. 13,33,34,63,64 Besides the spin magnetism, the orbital magnetism itself may also be changed by the electron-electron interaction through the modification of the energy band. In triangular zigzag graphene flakes, in particular, it is predicted that the electron-electron interaction may open an energy gap in the edge-state levels.…”
Section: Comparison To Spin Paramagnetismmentioning
confidence: 99%
“…[28][29][30]32 The origin of the spontaneous spin magnetism is still under debate, while it is supposed to be caused by the electron-electron interaction (neglected in this work) with the atomic defects, or highly degenerate edge states in zigzag edges. 13,33,34,63,64 Besides the spin magnetism, the orbital magnetism itself may also be changed by the electron-electron interaction through the modification of the energy band. In triangular zigzag graphene flakes, in particular, it is predicted that the electron-electron interaction may open an energy gap in the edge-state levels.…”
Section: Comparison To Spin Paramagnetismmentioning
confidence: 99%
“…This can be seen in cases where graphene has been cut into structures with zigzag edge shapes. [39][40][41][42] Examining Fig. 1, along a single zigzag direction there is an imbalance of lattice sites.…”
Section: Magnetism Due To Edge Shapementioning
confidence: 99%
“…Zigzag edges in sp 2 carbon have demonstrated spin ordered properties in such structures as graphene nanoribbons (with bases of graphene45 and coronene6), open nanotubes7, nanowiggles8, nanorings91011, nanomeshes12, nanodots13, and many more1415. While each of these individual structures have interesting properties, spin alignment between graphene layers can become coupled, allowing for more complicated device designs16.…”
mentioning
confidence: 99%