Geodesic
Quasiaverages and degenerate quantum equilibriums of magnetic systems with $SU(3)$ symmetry of the~exchange interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 195 (2018) no. 2, pp. 240-255

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We consider magnetic systems with the $SU(3)$ symmetry of the exchange interaction. For degenerate equilibriums with broken magnetic and phase symmetries, we formulate classification equations for the order parameter using the concept of residual symmetry. Based on them, we obtain an explicit form of the equilibrium values of the order parameters of a spin nematic and an antiferromagnet in the general form. We clarify the existence conditions for six types of superfluid equilibriums for the order parameter describing the Bose pair condensate. We study inhomogeneous equilibriums and obtain the explicit coordinate dependence of the magnetic order parameters.
Keywords: equilibrium, order parameter, spin, unitary symmetry
Mots-clés : classification equation. 
@article{TMF_2018_195_2_a5,
     author = {N. N. Bogolyubov (Jr.) and A. V. Glushchenko and M. Yu. Kovalevsky},
     title = {Quasiaverages and degenerate quantum equilibriums of magnetic systems with $SU(3)$ symmetry of the~exchange interaction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {240--255},
     publisher = {mathdoc},
     volume = {195},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_195_2_a5/}
}
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N. N. Bogolyubov (Jr.); A. V. Glushchenko; M. Yu. Kovalevsky. Quasiaverages and degenerate quantum equilibriums of magnetic systems with $SU(3)$ symmetry of the~exchange interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 195 (2018) no. 2, pp. 240-255. http://geodesic.mathdoc.fr/item/TMF_2018_195_2_a5/