The N\'eel order for a frustrated antiferromagnetic Heisenberg model: beyond linear spin-wave theory
Abstract
Within Dyson-Maleev (DM) transformation and self-consistent mean-field treatment, the N\'eel order/disorder transition is studied for an antiferromagnetic Heisenberg model which is defined on a square lattice with a nearest neighbour exchange J1 and a next-nearest neighbour exchange J2 along only one of the diagonals. It is found that the N\'eel order may exist up to J2/J1=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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