Correlations#

Interacting electrons, in the Hartree-Fock mean-field approximation of the Hubbard model: the magnetism of graphene’s zigzag edges and of triangular nanoislands, Lieb’s theorem and the ferrimagnet of the Lieb lattice, and flat-band ferromagnetism (Nagaoka, Mielke, Tasaki). The non-collinear mean field finds the 120-degree order of the frustrated triangular lattice.

Flat-Band Ferromagnetism: Nagaoka, Mielke and Tasaki

Flat-Band Ferromagnetism: Nagaoka, Mielke and Tasaki

The Hubbard Model: Magnetism of Graphene’s Zigzag Edges

The Hubbard Model: Magnetism of Graphene's Zigzag Edges

Lieb’s Theorem: The Ferrimagnet of the Lieb Lattice

Lieb's Theorem: The Ferrimagnet of the Lieb Lattice

Frustrated Magnetism: the 120-Degree Order of the Triangular Hubbard Model

Frustrated Magnetism: the 120-Degree Order of the Triangular Hubbard Model

Magnetism of Triangular Graphene Nanoislands

Magnetism of Triangular Graphene Nanoislands