Magnetic phases of one-dimensional lattices with 2 to 4 fermions per   site
  We study the spectral and magnetic properties of one-dimensional lattices filled with 2 to 4 fermions (with spin 1/2) per lattice site. We use a generalized Hubbard model that takes account all 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-one Heisenberg antiferromagnetism, and orbital antiferromagnetism. 
J.-P. Nikkarila, M. Koskinen, S.M. Reimann and M. Manninen