Emergence of the geometric contribution to the superfluid density in the inner crust of neutron stars
arXiv:2603.05179 · doi:10.3390/particles9010022
Abstract
The geometric contribution to the superfluid density has been found to be of great importance in the inner crust of neutron stars. In this work we clarify how this contribution arises in the context of a band theory for neutrons. Specifically, we derive the dependence of the superfluid density on the magnitude of the pairing gap when the system has many bands cutting the Fermi energy, as it is the case for the neutrons in the inner crust. Also, in the perturbation theory framework, we find that it is essential to account for the corrections to the (Bogoliubov) quasi-particle states in order to get the geometric contribution. Accounting only for the corrections to the (Hartree-Fock) single-particle states leads to the conventional contribution only.
10 pages, 2 figures. Selected Paper from "The Modern Physics of Compact Stars and Relativistic Gravity 2025"
References in corpus (15)
- Band geometry, Berry curvature and superfluid weight
- Neutron conduction in the inner crust of a neutron star in the framework of the band theory of solids
- Low-energy collective excitations in the neutron star inner crust
- Spectrum of shear modes in the neutron-star crust: Estimating the nuclear-physics uncertainties
- Quantum geometric effect on Fulde-Ferrell-Larkin-Ovchinnikov superconductivity
- Time-dependent extension of the self-consistent band theory for neutron star matter: Anti-entrainment effects in the slab phase
- Geometric superfluid weight of composite bands in multiorbital superconductors
- Cooper pairing, flat-band superconductivity and quantum geometry in the pyrochlore-Hubbard model
- Superfluid extension of the self-consistent time-dependent band theory for neutron star matter: Anti-entrainment versus superfluid effects in the slab phase
- Superfluid fraction in the slab phase of the inner crust of neutron stars
- Superfluid density in linear response theory : pulsar glitches from the inner crust of neutron stars
- Quantum geometric superfluid weight in multiband superconductors: A microscopic interpretation
- Superfluid fraction in the crystalline crust of a neutron star: role of BCS pairing
- Superfluid fraction in the rod phase of the inner crust of neutron stars
- Structure factors and quantum geometry in multiband BCS superconductors