  As a result of the Hund's coupling, the band structure of the conducting
electrons in the skyrmion crystal (SkX) shares similar topological properties
with that of graphene, such as its cone-like shape, nonzero band Chern number,
edge states, and etc. In this work, we rigorously demonstrate that the Klein
tunneling phenomena is also shared by these two. We use the Green's function
technique and calculated the transmission probability of the electrons
tunneling through an electrostatic barrier in the SkX expressed by the double
exchange model. Numerical results of the SkX reproduced the Dirac model
obtained by linear fitting the two-dimensional band structure of the SkX.
