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We derive a new microscopic spin Hamiltonian for Rashba-coupled doubleexchange metals. The Hamiltonian consists of anisotropic interactions of theDzyaloshinskii-Moriya (DM) and Kitaev form, in addition to the standardisotropic term. We validate the spin Hamiltonian by comparing results withthose on the exact spin-fermion model, and present its phase diagram usinglarge scale Monte Carlo simulations. In addition to ferromagnetic, planarspiral and flux states, the model hosts skyrmion crystal and classicalspin-liquid states characterized, respectively, by multiple peaks and a diffusering pattern in the spin structure factor. The filamentary domain wallstructures in the spin-liquid state are in remarkable agreement withexperimental data on thin films of MnSi-type B20 metals and transition metalsand their alloys.

New Microscopic Magnetic Hamiltonian for Exotic Spin Textures in Metals