Boundary Ferromagnetism in Zigzag Edged Graphene
arXiv:2211.09282 · doi:10.1063/5.0135165
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.
References in corpus (19)
- The electronic properties of graphene
- Energy Gaps in Graphene Nanoribbons
- Half-Metallic Graphene Nanoribbons
- Graphene Spintronics
- Scanning tunneling microscopy and spectroscopy of the electronic local density of states of graphite surfaces near monoatomic step edges
- Edge state on hydrogen-terminated graphite edges investigated by scanning tunneling microscopy
- Carrier Density and Magnetism in Graphene Zigzag Nanoribbons
- Theory of inter-edge superexchange in zigzag edge magnetism
- Magnetism of Finite Graphene Samples: Mean-Field Theory compared with Exact Diagonalization and Quantum Monte Carlo Simulation
- Electron-Electron Interactions on the Edge States of Graphene: A Many Body Configuration Interaction Study
- Character of electronic states in graphene antidot lattices: Flat bands and spatial localization
- Ground-state properties of nanographite systems with zigzag-shaped edges
- Chiral Symmetry Breaking in Graphene
- Towards a Rigorous Proof of Magnetism on the Edges of Graphene Nano-ribbons
- Magnetic Catalysis and Quantum Hall Ferromagnetism in Weakly Coupled Graphene
- Generation and Manipulation of Spin Current in Graphene Nanodisks: Robustness against Randomness and Lattice Defects
- Effect of long-range interaction on graphene edge magnetism
- Interplay between the edge-state magnetism and long-range Coulomb interaction in zigzag graphene nanoribbons: quantum Monte Carlo study
- Massless Fermions on a half-space: The curious case of 2+1-dimensions