Role of Landau-Rabi quantization of electron motion on the crust of magnetars within the nuclear energy density functional theory

Abstract

Magnetic fields of order $10^{15}$ G have been measured at the surface of some neutron stars, and much stronger magnetic fields are expected to be present in the solid region beneath the surface. The effects of the magnetic field on the equation of state and on the composition of the crust due to Landau-Rabi quantization of electron motion are studied. Both the outer and inner crustal regions are described in a unified and consistent way within the nuclear-energy density functional theory.

arXiv comment23 pages, 11 figures

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• ${}^1$S${}_0$ pairing gaps, chemical potential and entrainment matrix in superfluid neutron-star cores for the Brussels-Montreal functionals
• Magnetised neutron star crust within effective relativistic mean-field model
• Entrainment effects in neutron-proton mixtures within the nuclear-energy density functional theory. II. Finite temperatures and arbitrary currents
• Heating in Magnetar Crusts from Electron Captures
• Strong magnetic fields and pasta phases revisited
• Strong magnetic fields: neutron stars with an extended inner crust
• Impact of strong magnetic fields on the inner crust of neutron stars
• Analytical determination of the structure of the outer crust of a cold nonaccreted neutron star: extension to strongly quantizing magnetic fields
• Spin-polarized $\beta$-stable neutron star matter: the nuclear symmetry energy and GW170817 constraint
• Onset of Electron Captures and Shallow Heating in Magnetars
• Torsional oscillations of magnetized neutron stars: Impacts of Landau-Rabi quantization of electron motion