Abstract
We present a study of the two-orbital degenerate Hubbard model in which the exactnumerical solution on a regular tetrahedron is obtained via suitable implementation of thesymmetries generated by the spin, the pairing and the orbital pseudospin operators. Inparticular, we show that a large variety of high-spin magnetic ground states can developaway from half filling, depending on the values of the electron density and the parametersof the model. As the tetrahedron is the simplest finite-size cluster where hopping processesconnect all pairs of sites with constant probability, the study is extended by providing theexact analytical solution of the model on an infinite lattice in the unconstrained hoppinglimit.
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