J. Stein, FLOW EQUATIONS AND EXTENDED BOGOLIUBOV TRANSFORMATION FOR THE HEISENBERG-ANTIFERROMAGNET NEAR THE CLASSICAL LIMIT, The European Physical Journal. B: Condensed Matter Physics, 5(2), 1998, pp. 193-201
The Heisenberg spin-S quantum antiferromagnet is studied near the larg
e-spin limit, applying a new continuous unitary transformation which e
xtends the usual Bogoliubov transformation to higher order in the 1/S-
expansion of the Hamiltonian. This allows to diagonalize the bosonic H
amiltonian resulting from the Holstein-Primakoff representation beyond
the conventional spin-wave approximation. The zero-temperature flow e
quations derived from the extension of the Bogoliubov transformation t
o order O(1/S-2) for the ground-state energy, the spin-wave velocity,
and the staggered magnetization are solved exactly and yield results w
hich are in agreement with those obtained by a perturbative treatment
of the magnon interactions.