Effect of long-range interaction on graphene edge magnetism
arXiv:1702.00452 · doi:10.1103/PhysRevB.95.195420
Abstract
It has been proposed that interactions lead to ferromagnetism on a zigzag edge of a graphene sheet. While not yet directly studied experimentally, dramatically improving techniques for making and studying clean zigzag edges may soon make this possible. So far, most theoretical investigations of this claim have been based on mean field theories or more exact calculations using the Hubbard model. But long-range Coulomb interactions are unscreened in graphene so it is important to consider their effects. We study rather general non-local interactions, including of Coulomb form, using the technique of projection to a strongly interacting edge Hamiltonian, valid at first order in the interactions. The ground states as well as electron/hole and exciton excitations are studied in this model. Our results indicate that ferromagnetism survives with unscreened Coulomb interactions.
16 pages, 9 figures; updated Figs. 2-9 and acknowledgments
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Cited by in corpus (13)
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- Quantum phase transitions in effective spin-ladder models for graphene zigzag nanoribbons
- Topological edge states of a graphene zigzag nanoribbon with spontaneous edge magnetism
- Interplay between the edge-state magnetism and long-range Coulomb interaction in zigzag graphene nanoribbons: quantum Monte Carlo study
- Interaction effects in a 1D flat band at a topological crystalline step edge
- Charged Topological Solitons in Zigzag Graphene Nanoribbons
- Massless Fermions on a half-space: The curious case of 2+1-dimensions
- Boundary Ferromagnetism in Zigzag Edged Graphene
- Magnetic, charge, and transport properties of graphene nanoflakes
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- Zigzag nanoribbon of gated bilayer hexagonal crystals with spontaneous edge magnetism