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

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 J2/J1, the multicritical behavior is studied as a function of four-spin interaction coefficient J4/J1. These new results are obtained using the mean field theory (MFT) on a hypercubic lattice.