In this part we compute the total density of states \[\rho(E)=\rho_\sigma(E)+\rho_\bar\sigma(E)\,\] when a spatial dependent magnetic field is applied. In this case we consider a Zeeman energy of magnitude \(\Delta_Z\). Then, for the previous parameters \(N=25\), \(a=1\), \(L=25\), \(\epsilon_0/t=2\) and \(t_W=0.2t\) and \(\Delta_Z/t=0.125\) we obtain a tunneling rate that also oscillates with energy, the mean-level spacing of such oscillation is related with the Zeeman energy.