N. N. Bogolyubov (Jr.), A. V. Glushchenko, M. Yu. Kovalevsky, “Quasiaverages and degenerate quantum equilibriums of magnetic systems with <nobr>$SU(3)$</nobr> symmetry of the exchange interaction”, TMF, 2018, Volume 195, Number 2,Pages <nobr>240

This article is cited in 3 papers

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

N. N. Bogolyubov (Jr.)^a, A. V. Glushchenko^b, M. Yu. Kovalevsky^b

^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.

PACS: 03.75.Mn, 03.75.Hh, 11.30.Qc

Received: 03.05.2017
Revised: 30.05.2017

DOI: 10.4213/tmf9397