  We calculate the Debye screening mass in thermal, dense and magnetized QCD
matter in the frame of resummed perturbation theory. In the limit of zero
temperature, when the Landau energy level and Fermi surface of quarks match
each other $\mu_q^2=2n|qB|$, where $q$, $\mu_q$ and $B$ are respectively the
quark electric charge, chemical potential and external magnetic field, the
screening mass diverges and the system is in the state of weakly interacting
parton gas, which is very different from the known result of strongly
interacting quark-gluon plasma at high temperature. The divergence disappears
in thermal medium, but the screening mass oscillates with clear peaks at the
matched magnetic field.
