  We construct a 1D model Hamiltonian of spinless fermions for which the
spinless analogue of $\eta$-pairing states are quantum many-body scars of the
model. These states are excited states and display subvolume entanglement
entropy scaling; they form a tower of states that are equally spaced in energy
(resulting in periodic oscillations in the Loschmidt echo and in the time
evolution of observables for initial states prepared in a superposition of
them) and are atypical in the sense that they weakly break the eigenstate
thermalization hypothesis, while the other excited states are thermal. We
extend the approach by presenting models with a tower of scar states generated
by multimers located at the edge of the Brillouin zone.
