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We study magnon bands in the slab geometry for the spin model on thepyrochlore lattice with Heisenberg exchange, Dzyaloshinskii-Moriya interactionand spin-ice anisotropy. For a range of model parameters, for bothferromagnetic and antiferromagnetic exchange, we evaluate spin wave bands forslabs oriented perpendicular to the $[111]$, $[100]$ and $[110]$ directions. Weanalyze magnon dispersions for the ferromagnetic splay phase, theall-in-all-out phase and a coplanar phase. For all the phases considered,depending on the slab geometry the magnon band structure can be non-reciprocaland we locate regions of non-reciprocity in the surface Brillouin zones. Weprovide details of the edge localized magnons in these phases associated withpoint degeneracies and different nodal lines in the bulk spectra.

Magnon bands in pyrochlore slabs with Heisenberg exchange and anisotropies