Molecular superfluid phase in 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.