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Hidden $\mathrm{SU(4)}$ symmetry in bilayer quantum well at integer filling factorsа Lancaster University, Bailrigg, Lancaster, United Kingdom б Институт теоретической физики им. Л.Д. Ландау, просп. Акад. Семенова 1а, Черноголовка, Московская обл., Ногинский р-н, 142432, Российская Федерация 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.
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