  We study the CP violation effects from two types of neutrino mass matrices
with (i) $(M_\nu)_{ee}=0$, and (ii) $(M_\nu)_{ee}=(M_\nu)_{e\mu}=0$, which can
be realized by the high dimensional lepton number violating operators $\bar
\ell_R^c\gamma^\mu L_L (D_\mu \Phi)\Phi^2$ and $\bar \ell_R^c l_R
(D_\mu{\Phi})^2\Phi^2$, respectively. In (i), the neutrino mass spectrum is in
the normal ordering with the lightest neutrino mass within the range
$0.002\,{\rm eV}\lesssim m_0\lesssim 0.007\,{\rm eV}$. Furthermore, for a given
value of $m_0$, there are two solutions for the two Majorana phases
$\alpha_{21}$ and $\alpha_{31}$, whereas the Dirac phase $\delta$ is arbitrary.
For (ii), the parameters of $m_0$, $\delta$, $\alpha_{21}$, and $\alpha_{31}$
can be completely determined. We calculate the CP violating asymmetries in
neutrino-antineutrino oscillations for both mass textures of (i) and (ii),
which are closely related to the CP violating Majorana phases.
