Geodesic
Topological excitations in a~two-dimensional spin system with high spin $s\ge1$
Teoretičeskaâ i matematičeskaâ fizika, Tome 160 (2009) no. 1, pp. 4-14

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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 the exchange interaction. The quantum model is associated with a classical model (the continuous classical analogue) based on a Landau–Lifshitz-like equation, which describes large-scale fluctuations of the mean field. On the other hand, the classical model in the case of spin $s$ is a Hamiltonian system on a coadjoint orbit of the unitary group $SU(2s+1)$. We construct 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, conserving energy.
Keywords: order parameter, mean field, effective Hamiltonian
Mots-clés : coadjoint orbit. 
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     author = {Yu. N. Bernatskaya and P. I. Holod},
     title = {Topological excitations in a~two-dimensional spin system with high spin $s\ge1$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {4--14},
     publisher = {mathdoc},
     volume = {160},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_160_1_a0/}
}
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Yu. N. Bernatskaya; P. I. Holod. Topological excitations in a~two-dimensional spin system with high spin $s\ge1$. Teoretičeskaâ i matematičeskaâ fizika, Tome 160 (2009) no. 1, pp. 4-14. http://geodesic.mathdoc.fr/item/TMF_2009_160_1_a0/