Abstract
The effect of the Dzyaloshinskii–Moriya interaction on the stability of the Néel phase and the energy gap for the XXZ Heisenberg model on a d-dimensional hypercubic lattice is investigated using the linear spin-wave theory. In one-dimension, the disordered phase disappears above a critical value of the easy-axis anisotropy. In two-dimension, the instability of the Néel order occurs below a critical value of the easy-axis anisotropy. We find that for all d-dimensional systems, the energy gap vanishes above a critical value of the DM interaction.
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