Spin-1/2 anisotropic Heisenberg antiferromagnet model with Dzyaloshinskii-Moriya interaction via mean-field approximation

Highlights: • We find the temperature as a function of the field and the DM interaction. • At $T=0$, the value of the critical external field is given by $h_c=c$ and is independent of the DM interaction. • All the transition lines are second order and we have no indication of any first-order transition lines in these diagrams. The spin-1/2 anisotropic Heisenberg model with antiferromagnetic exchange interactions in the presence of a longitudinal external magnetic field and a Dzyaloshinskii-Moriya interaction is studied by employing the usual mean-field approximation. The magnetic properties are obtained and it is shown that only second-order phase transitions take place for any values of the theoretical Hamiltonian parameters. Contrary to previous results from effective field theory, no anomalies have been observed at low temperatures. However, some reentrancies still persist in some region of the phase diagram.