The Josephson relation for the superfluid density in the BCS-BEC crossover

Details The Josephson relation for the superfluid density in the BCS-BEC crossover The Josephson relation for the superfluid density in the BCS-BEC crossover

2008-01-29

arxiv.org/abs/0801.4579v2

Phys. Rev. B 77 144521 (2008)

Physics

Condensed Matter

Other Condensed Matter

Published version

Scientific paper

10.1103/PhysRevB.77.144521

The Josephson relation for the superfluid density is derived for a Fermi superfluid in the BCS-BEC crossover. This identity extends the original Josephson relation for Bose superfluids. It gives a simple exact relation between the superfluid density $\rho_s$ and the broken-symmetry Cooper pair order parameter $\Delta_0$ in terms of the infrared limit of the pair fluctuation propagator. The same expression holds through the entire BCS-BEC crossover, describing the superfluid density of a weak-coupling BCS superfluid as well as the superfluid density of a Bose condensate of dimer molecules.

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