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EuBiS$_{2}$F is a self-doped superconductor due to the mixed valence of Eu.Here we report that, with the Ce substitution for Eu by 50 at.\%, the materialexhibits ferromagnetic ordering at 8 K for the Ce-4$f$ moment,superconductivity at 2.2 K in the BiS$_2$ layers, and possiblyantiferromagnetic ordering at 2.1 K for the Eu-4$f$ spins. The Eu valence isessentially divalent with the Ce incorporation. We tentatively interpret thecoexistence of ferromagnetism and superconductivity by considering differentBi-6$p$ orbitals that are responsible for superconductivity itself and formediating the ferromagnetic interaction, respectively. We argue that theantiferromagnetic ordering of the Eu-4$f$ spins is most likely due to amagnetic dipole-dipole interaction.

Coexistence of superconductivity and complex 4$f$ magnetism in Eu$_{0.5}$Ce$_{0.5}$BiS$_{2}$F