Properties of a quantum vortex in neutron matter at finite temperatures

In this work, we systematically studied the microscopic properties of a quantum vortex in neutron matter at finite temperatures and densities corresponding to different layers of the inner crust of a neutron star. We have calculated the specific heat in the quantum vortex's presence and shown that it is substantially larger than for a uniform system at low temperatures. Our results suggest that vortices may be spin-polarized in the crust of magnetars. Finally, we have obtained a lower bound for the specific heat of a collection of vortices with given surface density, taking into account both the contributions from the vortex core states and from the hydrodynamic flow.