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We study the phase diagram of a three-component Fermi gas with weakattractive interactions, which shows three superfluid and one normal phases. Atweak symmetry breaking between the components the existence of domain wallsinterpolating between two superfluids introduces a new length scale much largerthan the coherence length of each superfluid. This, in particular, limits theapplicability of the local density approximation in the trapped case, which wealso discuss. In the same regime the system hosts soft collective modes with amass much smaller than the energy gaps of individual superfluids. We derivetheir dispersion relations at zero and finite temperatures and demonstrate thattheir presence leads to a significant enhancement of fluctuations near thesuperfluid-normal transitions.

Phase diagram, extended domain walls, and soft collective modes in a three component fermionic superfluid