Journal of Physics Conference Series
Exact diagonalization scheme for the degenerate two-orbital Hubbard model on a ring
Canio Noce, Alfonso Romano, Maria Emilia Amendola, Mario Cuoco
Abstract
The two-orbital degenerate Hubbard model proves to be a powerful tool in the investigation of several 3 d and 4 d transition metal oxides where orbital degeneracy is known to play a crucial role. We present here a finite-size cluster study of this model where an exact numerical diagonalization procedure is used, based on the implementation of the symmetries generated by the spin, the pairing and the orbital pseudospin operators. The technique is then applied to the solution of the model on a four-site ring, and an explicit comparison is presented between the behavior of the spin, charge and orbital gaps as the on-site Coulomb repulsion is varied.