Topological excitations in 2D spin system with high spin $s>= 1$

Details Topological excitations in 2D spin system with high spin $s>= 1$ Topological excitations in 2D spin system with high spin $s>= 1$

2010-01-03

arxiv.org/abs/1001.0375v1

Theoretical and Mathematical Physics, Volume 160, Number 1 / July, 2009, P. 878-886

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 1 figure

Scientific paper

10.1007/s11232-009-0077-4

We construct a class of topological excitations of a mean field in a two-dimensional spin system represented by a quantum Heisenberg model with high powers of exchange interaction. The quantum model is associated with a classical one (the continuous classical analogue) that is based on a Landau-Lifshitz like equation, and describes large-scale fluctuations of the mean field. On the other hand, the classical model is a Hamiltonian system on a coadjoint orbit of the unitary group SU($2s {+} 1$) in the case of spin $s$. We have found a class of mean field configurations that can be interpreted as topological excitations, because they have fixed topological charges. Such excitations change their shapes and grow preserving an energy.

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