bipartite chain of magnetic spheres: a carrier for quantum information

We investigate the collective magnonic modes in a dimerized chain of ferromagnetic spheres. the dipolar interaction between magnetic spheres in an infinite chain give rises to gapped magnonic dispersion. depending on the strength of the dimerization, the array may be either in a topologically trivial or nontrivial phase. the nontrivial zak phase predicts the manifestation of edge state in the case of finite chain. we show that the magnetic fields controls whether topologically protected localized states or tamm states exist at the ends of the chain.