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Topologically protected swirl of the magnetic texture known as the Skyrmionhas become ubiqui- tous in both metallic and insulating chiral magnets.Meanwhile the existence of its three-dimensional analogue, known as themagnetic monopole, has been suggested by various indirect experimental sig-natures in MnGe compound. Theoretically, Ginzburg-Landau arguments in favor ofthe formation of a three-dimensional crystal of monopoles and anti-monopoleshave been put forward, however no microscopic model Hamiltonian was shown tosupport such a phase. Here we present strong numerical evidence from MonteCarlo simulations for the formation of a rock-salt crystal structure ofmonopoles and anti-monopoles in short-period chiral magnets. Real-timesimulation of the spin dynamics suggests there is only one collective mode inthe monopole crystal state in the frequency range of several GHz for thematerial parameters of MnGe.

Formation of a Topological Monopole Lattice and its Dynamics in Three-dimensional Chiral Magnets