Formation Of A Topological Monopole Lattice And Its Dynamics In Three-Dimensional Chiral Magnets

Topologically protected swirl of the magnetic texture known as the skyrmion has become ubiquitous in both metallic and insulating chiral magnets. Meanwhile the existence of its three-dimensional analog, known as the magnetic monopole, has been suggested by various indirect experimental signatures in MnGe compound. Although Ginzburg-Landau arguments in favor of the formation of a three-dimensional crystal of monopoles and antimonopoles have been put forward, no microscopic model Hamiltonian was shown to support such a phase. Here we present strong numerical evidence from Monte Carlo simulations for the formation of a rocksalt crystal structure of monopoles and antimonopoles in short-period chiral magnets. Real-time simulation of the spin dynamics suggests there is only one internal excitation mode in the monopole crystal state in the frequency range of several gigahertz for the material parameters of MnGe.