A low energy theory for superfluid and solid matter and its application to the neutron star crust

Abstract

We formulate a low energy effective theory describing phases of matter that are both solid and superfluid. These systems simultaneously break translational symmetry and the phase symmetry associated with particle number. The symmetries restrict the combinations of terms that can appear in the effective action and the lowest order terms featuring equal number of derivatives and Goldstone fields are completely specified by the thermodynamic free energy, or equivalently by the long-wavelength limit of static correlation functions in the ground state. We show that the underlying interaction between particles that constitute the lattice and the superfluid gives rise to entrainment, and mixing between the Goldstone modes. As a concrete example we discuss the low energy theory for the inner crust of a neutron star, where a lattice of ionized nuclei coexists with a neutron superfluid.

21 pages, 1 figure

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Cited by in corpus (25)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Neutron conduction in the inner crust of a neutron star in the framework of the band theory of solids
• Superfluidity in nuclear systems and neutron stars
• Low-energy collective excitations in the neutron star inner crust
• Spontaneous breaking of continuous translational invariance
• Quiescent thermal emission from neutron stars in LMXBs
• Dynamics of the inner crust of neutron stars: hydrodynamics, elasticity and collective modes
• Superfluid hydrodynamics in the inner crust of neutron stars
• Liquid-gas coexistence vs. energy minimization with respect to the density profile in the inhomogeneous inner crust of neutron stars
• Goldstone modes in the neutron star core
• Collective Modes in a Superfluid Neutron Gas within the Quasiparticle Random-Phase Approximation
• The dynamics of neutron star crusts: Lagrangian perturbation theory for a relativistic superfluid-elastic system
• Shear viscosity due to phonons in superfluid neutron stars
• Signatures of unconventional pairing in spin-imbalanced one-dimensional few-fermion systems
• Long-wavelength phonons in the crystalline and pasta phases of neutron-star crusts
• Properties of a quantum vortex in neutron matter
• Phase separation in low-density neutron matter
• Pairing in Asymmetric Many-Fermion Systems: Functional Renormalisation Group Approach
• The Photon in Dense Nuclear Matter I: Random Phase Approximation
• Anderson-Bogoliubov phonon in inner crust of neutron stars: Dipole excitation in spherical Wigner-Seitz cell
• Collective Modes in the Superfluid Inner Crust of Neutron Stars
• Response functions of cold neutron matter: density, spin and current fluctuations
• Coexistence of Anderson-Bogoliubov phonon and quadrupole cluster vibration in neutron star inner crust
• Unconventional pairing in few-fermion systems at finite temperature
• Spin diffusive modes and thermal transport in neutron star crusts