Magnetic phase diagrams of spin systems with inversion asymmetry

Abstract

We construct a phase diagram for bulk magnetic materials and thin film materials that lack inversion symmetry, with the external field and anisotropy as parameters. Three states occur: a homogeneous state, a skyrmion lattice state and a spiral state. The phase diagram shows clear phase transitions between the different states as a function of strength of anisotropy and external field. At finite temperature these phase transitions all occur at lower external field.