the possible effects a nonzero effective range might have on the obtained results. Previous work [@reff] suggests that the obtained energy differences from the noninteracting state should increase towards zero, the condensate fraction should be constant over a wide range of scattering lengths, and the momentum density should become more sharply step-like.

Finally, the match with exact diagonalisation studies provides evidence that the elementary excitations above the proposed ground state are well-described by the few fermion analysis [@multipartsupconfew]. This should have novel consequences especially concerning Andreev reflection experiments as the strong correlations between a group of fermions held in a communal state should result in multiple retroreflected holes for a single incident fermion, in sharp contrast to the single hole per fermion expected in normal FFLO theory.

Acknowledgements {#acknowledgements .unnumbered}
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Data used for this Letter are available online [@dspacefooconduit]. The authors thank Pablo López Ríos and Thomas Whitehead for useful discussions, and acknowledge the financial support of the NUS and the Royal Society.

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