A generalised Landau-Lifshitz equation for isotropic SU(3) magnet
Other Condensed Matter
2014-09-22 v2 Statistical Mechanics
Abstract
In the paper we obtain equations for large-scale fluctuations of the mean field (the field of magnetization and quadrupole moments) in a magnetic system realized by a square (cubic) lattice of atoms with spin s >= 1 at each site. We use the generalized Heisenberg Hamiltonian with biquadratic exchange as a quantum model. A quantum thermodynamical averaging gives classical effective models, which are interpreted as Hamiltonian systems on coadjoint orbits of Lie group SU(3).
Keywords
Cite
@article{arxiv.1001.0372,
title = {A generalised Landau-Lifshitz equation for isotropic SU(3) magnet},
author = {Julia Bernatska and Petro Holod},
journal= {arXiv preprint arXiv:1001.0372},
year = {2014}
}
Comments
15 pages, 1 figure