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TMF, 2018, Volume 195, Number 2, Pages 240–255 (Mi tmf9397)  

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

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.
Author to whom correspondence should be addressed

DOI: https://doi.org/10.4213/tmf9397

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English version:
Theoretical and Mathematical Physics, 2018, 195:2, 704–717

Bibliographic databases:

PACS: 03.75.Mn, 03.75.Hh, 11.30.Qc
Received: 03.05.2017
Revised: 30.05.2017

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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\paper Quasiaverages and degenerate quantum equilibriums of magnetic systems with $SU(3)$ symmetry of the~exchange interaction
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\vol 195
\issue 2
\pages 240--255
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\pages 704--717
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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