  For topological materials with coexistence of Weyl nodes and nodal rings, the
surface-state configuration and connection are unique yet have never been
studied and discussed before. In this paper, we predict a ferromagnetic (FM)
material, Cs2MoCl6, with coexistence of Weyl and nodering fermions in its
spinful FM electronic band structure, which is unusual since FM materials are
very rare in nature and node-ring band crossings will usually open a gap when
spin-orbit coupling (SOC) is taken into consideration. We find that the surface
states of Cs2MoCl6 show different properties along different directions, i.e,
the surface states are in the drumhead shape showing the node-ring property on
the (001) surface and in the helicoid shape showing the Weyl property on the
(010) surface. Interestingly, both the drumhead surface states and the helicoid
surface states will cross the projected points of the Weyl and nodal ring along
different directions. In particular, helicoid surface states on the (010)
surface will meet the nodal ring tangentially, with their shapes change
abruptly as a function of the energy. We implement both first-principle
calculation and an analytical model to understand the unique surface-state
connection for systems with the coexistence of Weyl nodes and nodal rings (or
nodal lines). This result is universal and irrespective of the presence/absence
of and time-reversal symmetry (T).
