Local magnetic properties of $$L\times L$$ L × L square lattice with an Extended Hubbard Model

Abstract

Within an analytical diagonalization, it is possible to exactly solve a large class of models useful for the study of strongly correlated electrons systems. Here, we perform an exact diagonalization of the two-dimensional Extended Hubbard Model with first nearest neighbor repulsive $$V$$ and spin-spin interaction $$J$$ at one-eight filling. The analysis of the ground state energy and spin gap behaviors as a function of $$V$$ and $$J$$ terms allows us to study some local magnetic properties of $$2D$$ ferromagnetic correlated electrons system distributed in finite square lattice. The obtained results show the existence of competition between Spin Density Wave and Charge Density Wave with the possibility to have a phase transition between these two waves at a critical value $$V_{c}$$