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We consider defect mediated melting of Fulde-Ferrell-Larkin-Ovchinnikov(FFLO) and pair density wave (PDW) phases in two dimensions. Examiningmean-field ground states in which the spatial oscillations of the FFLO/PDWsuperfluid order parameter exhibit hexagonal lattice symmetry, we find thatthermal melting leads to a variety of novel phases. We find that a spatiallyhomogeneous charge six superfluid can arise from melting a hexagonalvortex-anitvortex lattice FFLO/PDW phase. The charge six superfluid has anorder parameter corresponding to a bound state of six fermions. We further findthat a hexagonal vortex-free FFLO/PDW phase can melt to yield a conventional(charge two) homogeneous superfluid. A key role is played by topologicaldefects that combine fractional vortices of the superfluid order and fractionaldislocations of the lattice order.

Conventional and charge six superfluids from melting hexagonal Fulde-Ferrell-Larkin-Ovchinnikov phases in two dimensions