FLOW EQUATIONS AND EXTENDED BOGOLIUBOV TRANSFORMATION FOR THE HEISENBERG-ANTIFERROMAGNET NEAR THE CLASSICAL LIMIT

Authors
Citation
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
Citations number
15
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
14346028
Volume
5
Issue
2
Year of publication
1998
Pages
193 - 201
Database
ISI
SICI code
1434-6028(1998)5:2<193:FEAEBT>2.0.ZU;2-J
Abstract
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.