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Majorana modes and fractional fermions are two types of edge zero modesappearing separately in topological superconductors and dimerized chains. Herewe reveal how to harvest both types of edge modes simultaneously in an exoticchain. Such modes are naturally spin-charge separated, and are protected by theinversion and spin-parity symmetries. We construct a lattice model toillustrate the nature of these edge modes, utilizing fermionic functionalrenormalization group, mean-field theory and bosonization. We also elucidatethat the four-fold degenerate ground states with edge-spinons in the Haldanephase of spin-$1$ chain may be reinterpreted as our spin-charge separated edgemodes in an equivalent spin-$1/2$ fermionic model.

Majorana modes meet fractional fermions in one dimension