Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms

We study a simple model of $N$-component fermions with contact interactions which describes fermionic atoms with $N=2F+1$ hyperfine states loaded into a one-dimensional optical lattice. We show by means of analytical and numerical approaches that, for attractive interaction, a quasi-long-range molecular superfluid phase emerges at low density. In such a phase, the pairing instability is strongly suppressed and the leading instability is formed from bound states made of $N$ fermions. At small density, the molecular superfluid phase is generic and exists for a wide range of attractive contact interactions without an $\mathrm{SU}(N)$ symmetry between the hyperfine states.