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

Abstract

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

14 pages, 6 figures

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• Superfluid fraction in the rod phase of the inner crust of neutron stars
• Emergence of the geometric contribution to the superfluid density in the inner crust of neutron stars
• Superfluid Fraction of a 2D Bose-Einstein Condensate in a Triangular Lattice
• Phase transitions in the inner crust of neutron stars within the superfluid band theory: Competition between ${}^1{\text{S}}_0$ pairing and spin polarization under finite temperature and magnetic field
• Fermi Operator Expansion for the Hartree-Fock-Bogoliubov Theory
• Superfluid fraction in the crystalline crust of a neutron star: role of quantum zero-point motion of ions