2017/02/28 by Zheng Shi, Ian Affleck
Computer Science · Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Coulomb #Electron #Enhanced Data Rates for GSM Evolution #Ferromagnetism #Geometry #Graphene #Graphene research and applications #Hamiltonian (control theory) #Hubbard model #Magnetism #Mathematics #Physics #Quantum Computing Algorithms and Architecture #Quantum and electron transport phenomena #Quantum mechanics #Superconductivity #Zigzag #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.95.195420
published as Phys. Rev. B 95, 195420 (2017) · 16 pages, 9 figures; updated Figs. 2-9 and acknowledgments
openalex publication_date 2017/05/19 · arxiv created 2017/05/24 · arxiv updated 2017/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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 nonlocal interactions, including of the Coulomb 1/r 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.