Boundary Ferromagnetism in Zigzag Edged Graphene
Mesoscale and Nanoscale Physics
2023-08-02 v1 Strongly Correlated Electrons
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The flat band of edge states which occur in the simple tight-binding lattice model of graphene with a zig-zag edge have long been conjectured to take up a ferromagnetic configuration. In this work we demonstrate that, for a large class of interaction Hamiltonians which can be added to the tight-binding model, and at the first order in perturbation theory, the degeneracy of the 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.
Cite
@article{arxiv.2211.09282,
title = {Boundary Ferromagnetism in Zigzag Edged Graphene},
author = {Gordon W. Semenoff},
journal= {arXiv preprint arXiv:2211.09282},
year = {2023}
}