  Recent experiments [V.~Grinenko {\it et al.} {Nat. Phys. {\bf 17}, 1254
(2021)}; \url{http://doi.org/10.1038/s41567-021-01350-9}] reported the
observation of a condensate of four-fermion composites. This is a resistive
state that spontaneously breaks the time-reversal symmetry, leading to
unconventional magnetic properties, detected in muon spin rotation experiments
and by the appearance of a spontaneous Nernst effect. In this work, we derive
an effective model for the four-fermion order parameter that describes the
observed spontaneous magnetic fields in this state. We show that this model,
which is alike to the Faddeev-Skyrme model can host skyrmions:
magnetic-flux-carrying topological excitations.
