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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 195, Number 2, Pages 240–255
DOI: https://doi.org/10.4213/tmf9397 (Mi tmf9397) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Quasiaverages and degenerate quantum equilibriums of magnetic systems with $SU(3)$ symmetry of the exchange interaction

N. N. Bogolyubov (Jr.)a, A. V. Glushchenkob, M. Yu. Kovalevskyb

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b National Science Centre "Kharkov Institute of Physics and Technology", Kharkov, Ukraine
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DOI: https://doi.org/10.4213/tmf9397
Abstract: 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, classification equation.
Received: 03.05.2017
Revised: 30.05.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 195, Issue 2, Pages 704–717
DOI: https://doi.org/10.1134/S0040577918050069
Bibliographic databases:
Document Type: Article
PACS: 03.75.Mn, 03.75.Hh, 11.30.Qc
Language: Russian
Citation: 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”, TMF, 195:2 (2018), 240–255; Theoret. and Math. Phys., 195:2 (2018), 704–717
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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