Field and phase evolution of dynamical excitations

Characterize how the dynamical excitations of the spin-1 triangular antiferromagnets K$_2$Ni(SeO$_3$)$_2$ and related systems evolve under an applied magnetic field and across the distinct dipolar, quadrupolar, and intermediate phases.

Background

The paper discusses recent inelastic neutron-scattering observations in the spin-1 triangular antiferromagnet K$_2$Ni(SeO$_3$)$_2$, including gapless excitations near the Brillouin-zone $mathbf{K}$ points and a broad high-energy continuum that may arise from multiparticle excitations. Although the paper calculates dynamical spin structure factors across representative phases and fields, the broader evolution of these excitations under magnetic fields and through the full phase diagram remains unresolved.