Quantum Coherence and W_infty*SU(2) Algebra in Bilayer Quantum Hall Systems

Abstract

We analyze the bilayer quantum Hall (QH) system by mapping it to the monolayer QH system with spin degrees of freedom. By this mapping the tunneling interaction term is identified with the Zeeman term. We clarify the mechanism of a spontaneous development of quantum coherence based on the Chern-Simons gauge theory with the lowest-Landau-Level projection taken into account. The symmetry group is found to be W_infty*SU(2), which says that the spin rotation affects the total electron density nearby. Using it extensively we construct the Landau-Ginzburg theory of the coherent mode. Skyrmion excitations are topological solitons in this coherent mode. We point out that they are detectable by measuring the Hall current distribution.

15pages, Phys. Lett. A (in press)

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• Skyrmions and Quantum Hall Ferromagnets in Improved Composite-Boson Theory
• Improved Composite-Boson Theory of Monolayer and Bilayer Quantum Hall Ferromagnets
• Topological excitation in the Fractional Quantum Hall system