We compute the pressure of a finite-density quark-gluon plasma at zero temp
erature to leading order in hard-thermal-loop perturbation theory, which in
cludes the fermionic excitations and Landau damping. The result is compared
with the weak-coupling expansion for finite positive chemical potential mu
through order alpha(s)(2) and with a quasiparticle model with a mass depen
ding on mu.