V. I. Fal'ko, S. V. Iordanskiĭ, A. B. Kashuba, “Hidden <nobr>$\mathrm{SU(4)}$</nobr> symmetry in bilayer quantum well at integer filling factors”, UFN, 2001, Volume 171, supplement № 10,Pages <nobr>49

Quantum Hall effect

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

V. I. Fal'ko^a, S. V. Iordanskiĭ^b, A. B. Kashuba^b

^a School of Physics, Lancaster University, UK
^b L. D. Landau Institute for Theoretical Physics, RAS, 142432 Chernogolovka, Moscow Region, Russian Federation

Abstract: 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

Language: English