Abstract
I derive a set of sufficient and (barring certain pathologies) necessary conditions for a one-component system with velocity-independent forces to have a super-fluid fraction ρ s /ρ equal to unity at zero temperature: In addition to a condition closely related (but not obviously equivalent) to the usual one of off-diagonal long-range order, the ground state should possess unbroken invariance under both spatial translation and time reversal. Some generalizations are made to the case of multicomponent systems.
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Leggett, A.J. On the Superfluid Fraction of an Arbitrary Many-Body System at T=0. Journal of Statistical Physics 93, 927–941 (1998). https://doi.org/10.1023/B:JOSS.0000033170.38619.6c
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DOI: https://doi.org/10.1023/B:JOSS.0000033170.38619.6c