Two-fluid coexistence in a spinless fermions chain with pair hopping

We show that a simple one-dimensional model of spinless fermions with pair hopping displays a phase in which a Luttinger liquid of paired fermions coexists with a Luttinger liquid of unpaired fermions. Our results are based on extensive numerical density-matrix renormalisation group calculations and are supported by a two-fluid model that captures the essence of the coexistence region.