Abstract
The flat band of edge states that occur in the simple tight-binding lattice model of graphene with a zigzag edge have long been conjectured to take up a ferromagnetic configuration. In this work, we prove that, for a large class of interaction Hamiltonians that can be added to the tight-binding model, and at the first order in perturbation theory, the degeneracy of edge states is resolved in such a way that the ground state is in the maximal, spin j = N/2 representation of the spin symmetry, where N is the number of edge states.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
