Generalised Landau-Lifshitz equation for isotropic SU(3) magnet

Details Generalised Landau-Lifshitz equation for isotropic SU(3) magnet Generalised Landau-Lifshitz equation for isotropic SU(3) magnet

2010-01-03

arxiv.org/abs/1001.0372v1

J. Phys. A: Math. Theor. 42 (2009) 075401

Physics

Condensed Matter

Other Condensed Matter

14 pages, 1 figure

Scientific paper

10.1088/1751-8113/42/7/075401

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 $s {\geqslant} 1$ 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).

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