Abstract
We study the spectral and magnetic properties of one-dimensional lattices filled with 2–4 fermions (with spin-1/2) per lattice site. We use a generalized Hubbard model that takes into account all the interactions on a lattice site, and solve the many-particle problem by exact diagonalization. We find an intriguing magnetic phase diagram which includes ferromagnetism, spin-1 Heisenberg antiferromagnetism and orbital antiferromagnetism.
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