Abstract
Within Dyson–Maleev (DM) transformation and self-consistent mean-field treatment, the Néel order/disorder transition is studied for an antiferromagnetic Heisenberg model which is defined on a square lattice with a nearest neighbour exchange J 1 and a next-nearest neighbour exchange J 2 along only one of the diagonals. It is found that the Néel order may exist up to J 2/ J 1=0.572, beyond its classically stable regime. This result qualitatively improves that from linear spin-wave theory based on Holstein–Primakoff transformation.
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