Ferromagnetism in an orbitally degenerate Hubbard model

We study the magnetic phase diagram of a one-dimensional, orbitally degenerate Hubbard model using the Lanczos algorithm to project out the ground state. Using lattices larger than those previously explored with diagonalization approaches, we find a phase diagram which is in much better agreement with a strong coupling analysis. In addition to determining the phase diagram by calculating the spin sector of minimum energy, we also show results for the spin-spin correlations and participation ratio, which further characterize the magnetic order and the itineracy of the electrons. We then describe results for the case when the intersite hybridization is different for the two orbitals.