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An analysis of the slab phase as it is expected in the innermost layer ofneutron-star crusts is performed within the Hartree-Fock-Bogoliubov framework.We take the periodicity of the slabs into account using Bloch boundaryconditions, in order to well describe the interplay between the band structureand superfluidity. We introduce a relative flow between the slabs and thesurrounding neutron gas in a time-independent way. This induces a non-trivialphase of the complex order parameter, leading to a counterflow between neutronsinside and outside the slabs. With the resulting current, we compute the actualneutron superfluid fraction. For the latter our results are slightly largerthan previous ones obtained in normal band theory, suggesting that normal bandtheory overestimates the entrainment effect.

Superfluid fraction in the slab phase of the inner crust of neutron stars