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The existence of one-dimensional strings of local excitations represents an intriguing aspect of the properties of strongly correlated topological quantum matter. Here, we study the impact of these one-dimensional string phases (1D SPs) on magnetization dynamics in Santa Fe ice lattice using micromagnetic simulations. The presence of 1D SPs results in the creation of parallel configurational anisotropic doublet or triplet pairs of spin wave (SW) modes, attributed to distinct stray field distributions. These modes induce the formation of an anticrossing gap in both reciprocal and nonreciprocal SW dispersion that can be experimentally measured.
Mondal et al. (Fri,) studied this question.