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\rho(E)=\rho_\sigma(E)+\rho_\bar\sigma(E)\,  \end{equation}  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.