  Diffusive limit of the Vlasov-Poisson-Boltzmann system without angular cutoff
in the framework of perturbation around global Maxwellian still remains open.
By employing the weighted energy method with a newly introduced weight function
$w_l(\alpha,\beta)$ and some novel treatments, we solve this problem for the
full range of non-cutoff potentials $\gamma>-3$ and $0<s<1$. Uniform estimate
with respect to the Knudsen number $\varepsilon \in (0,1]$ is established
globally in time, which eventually leads to the global existence of solutions
to the Vlasov-Poisson-Boltzmann system without angular cutoff for the full
range of non-cutoff potentials and hydrodynamic limit to the two-fluid
incompressible Navier-Stokes-Fourier-Poisson system with Ohm's law. As a
byproduct, this approach also extends the global existence results of previous
studies on the Vlasov-Poisson-Boltzmann system without angular cutoff to the
full range of non-cutoff potentials $\gamma>-3$ and $0<s<1$.
