  A new type of topological state in strongly corrected condensed matter
systems, heavy Weyl fermion state, has been found in a heavy fermion material
CeRu$_4$Sn$_6$, which has no inversion symmetry. Both two different types of
Weyl points, type I and II, can be found in the quasi-particle band structure
obtained by the LDA+Guztwiller calculations, which can treat the strong
correlation effects among the f-electrons from Cerium atoms. The surface
calculations indicate that the topologically protected Fermi arc states exist
on the (010) but not on the (001) surfaces.
