Title: Polarization, plasmon, and Debye screening in doped 3D ani-Weyl semimetal,
Abstract: We compute the polarization function in a doped three-dimensional
anisotropic-Weyl semimetal, in which the fermion energy dispersion is linear in
two components of the momenta and quadratic in the third. Through detailed
calculations, we find that the long wavelength plasmon mode depends on the
fermion density $n_e$ in the form $\Omega_{p}^{\bot}\propto n_{e}^{3/10}$
within the basal plane and behaves as $\Omega_{p}^{z}\propto n_{e}^{1/2}$ along
the third direction. This unique characteristic of the plasmon mode can be
probed by various experimental techniques, such as electron energy-loss
spectroscopy. The Debye screening at finite chemical potential and finite
temperature is also analyzed based on the polarization function.