Phase diagrams of spin ½ Ashkin–Teller model with Dzyaloshinskii–Moriya interaction

Abstract Ten new phase diagrams, including reentrant phenomena are found in the spin-half Ashkin–Teller model with different isotropic Dzyaloshinskii–Moriya (DM) interaction. However, by varying the strength of the (DM) parameter and for fixed values of the spin interaction coefficient J 2 / J 1 , the multicritical behavior is studied as a function of four-spin interaction coefficient J 4 / J 1 . These new results are obtained using the mean field theory (MFT) on a hypercubic lattice.