We calculated the density of states in a Hubbard model with nearest an
d next nearest neighbour hopping. Using an exact diagonalisation techn
ique, we examined this model in a wide area of parameters. The density
of states was calculated for different fillings and for positive and
negative interaction U. The additional hopping to the next nearest nei
ghbour sites has different effects on the gap between the particle and
hole spectrum compared to the pure Hubbard model.