Similarities between the $t-J$ and Hubbard models in weakly correlated regimes

Marie-Bernadette Lepetit, Marie-Liesse Doublet, Philippe Maurel

We present a comparative study of the Hubbard and $t-J$ models far away from half-filling. We show that, at such fillings the $t-J$ Hamiltonian can be seen as an effective model of…