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
SU(N) symmetry between the hyperfine states.
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 latt ice. We show by means of analytical and numerical approaches that, for attractiv e 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 i s generic and exists for a wide range of attractive contact int eractions without an SU(N ) symmetry between the hyperfine states.
We investigate the possible formation of a molecular condensate, which might be, for instance, the analogue of the alpha condensate of nuclear physics, in the context of multicomponent cold atoms fermionic systems. A simple paradigmatic model of N-component fermions with contact interactions loaded into a one-dimensional optical lattice is studied by means of low-energy and numerical approaches. For attractive interaction, a quasi-long-range molecular superfluid phase, formed from bound-states made of N fermions, emerges at low density. We show that trionic and quartetting phases, respectively for N = 3,4, extend in a large domain of the phase diagram and are robust against small symmetry-breaking perturbations.