Effect of anisotropic Dzyaloshinskii–Moriya interactions on phase diagrams of the Ashkin–Teller model

•Phase diagrams of Ashkin–Teller model with anisotropic Dzyaloshinskii–Moriya interaction.•The model is focused on the effect of anisotropic DM interaction on the phase diagrams.•Using mean field theory we have studied this model.•Different new phase diagrams, including a novel multicritical topology.•The first and second transitions lines are observed in this model.

In this paper we study, using mean field theory (MFT), the effect of the anisotropic Dzyaloshinskii–Moriya (DM) interaction on the phase diagrams of the spin-half Ashkin–Teller model on hypercubic lattice. Different new phase diagrams are found by varying the anisotropy of DM interaction. The multicritical behavior is studied as a function of four-spin interaction coefficient J4/J1J4/J1 and for two fixed values of spin interaction coefficient J2/J1J2/J1.