  In this work, we consider the Vlasov-Poisson-Boltzmann system without angular
cutoff and the Vlasov-Poisson-Landau system with Coulomb potential near a
global Maxwellian $\mu$. We establish the global existence, uniqueness and
large time behavior for solutions in a polynomial-weighted Sobolev space
$H^2_{x, v}( \langle v \rangle^k)$ for some constant $k >0$. The proof is based
on extra dissipation generated from semigroup method and energy estimates on
electrostatic field.
