Hidden $\mathrm{SU(4)}$ symmetry in bilayer quantum well at integer filling factors

V.I. Fal’ko^a, S.V. Iordanskii^b, A.B. Kashuba^b
^aLancaster University, Bailrigg, Lancaster, United Kingdom
^bL.D. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow Region, Russian Federation

Phase diagram of a bilayer quantum well at integer filling factors is established using the hidden symmetry method. Three phases: ferromagnetic, canted antiferromagnetic (CAP) and spin-singlet, have been found. We confirm early results of Das Sarma et al. Each phase violates the $\mathrm{SU(4)}$ hidden symmetry and is stabilized by the anisotropy interactions.

PACS: 73.43.−f, 73.43.Cd, 71.70.−d (all)
DOI: 10.1070/1063-7869/44/10S/S09
URL: https://ufn.ru/en/articles/2001/13/i/
Citation: Fal’ko V I, Iordanskii S V, Kashuba A B "Hidden $\mathrm{SU(4)}$ symmetry in bilayer quantum well at integer filling factors" Phys. Usp. 44 49–53 (2001)

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%0 Journal Article
%T Hidden $\mathrm{SU(4)}$ symmetry in bilayer quantum well at integer filling factors
%A V. I. Fal’ko
%A S. V. Iordanskii
%A A. B. Kashuba
%I Physics-Uspekhi
%D 2001
%J Phys. Usp.
%V 44
%N 13
%P 49-53
%U https://ufn.ru/en/articles/2001/13/i/
%U https://doi.org/10.1070/1063-7869/44/10S/S09

Оригинал: Fal’ko V I, Iordanskii S V, Kashuba A B «Hidden $\mathrm{SU(4)}$ symmetry in bilayer quantum well at integer filling factors» УФН 171 49–53 (2001); DOI: 10.1070/1063-7869/44/10S/S09