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 K2_2Ni(SeO3_3)2_2, including gapless excitations near the Brillouin-zone mathbfKmathbf{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.

References

Understanding how these dynamical excitations evolve under a magnetic field and across different phases represents an important open question.

— Dipolar and quadrupolar spin supersolid states in a spin-1 triangular antiferromagnet  (2609.05181 - Huang et al., 4 Sep 2026) in Section 1, Introduction

Although it remains unclear whether similar physics, which requires at least 2--4~meV of $D$, can be realized here, other forms of quadrapolar phases are possible and we highlight that the single-ion anisotropy in the $S=1$ system opens such opportunities.

— Modified anisotropy and distinct phase diagrams in the nearly isotropic $S=1$ triangular-lattice antiferromagnet $\mathrm{Rb_2Ni(SeO_3)_2}$  (2610.21154 - Gui et al., 15 Oct 2026) in Discussion, paragraph beginning “Very recently, the quadrupolar phases in the S = 1 system have attracted a lot of attention”