Abstract
We analyze the Fermi-surface instability of charge carriers in the charge-ordered metallic phases of a triangular-lattice extended Hubbard model at quarter filling and an extended Hubbard ladder near half filling. We derive and analyze strong-coupling effective Hamiltonians for the charge carriers, and then, we find f-wave superconductivity in the triangular-lattice model and ferromagnetism in the ladder model. The origin of these orderings can be associated with the following terms in the effective Hamiltonians: f-wave superconductivity is stabilized by the inter-site attraction and correlated hopping, and ferromagnetism results from positive second-neighbor hopping and an infinitely large on-site repulsion.
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