Quantum coherence and W(infinity)xSU(2) algebra in bilayer quantum Hall systems

We analyze the bilayer quantum Mall (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 Chem-Simons gauge theory with the lowest-landau-level projection taken into account. The symmetry group is found to be W-infinity x 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 Mall current distribution. (C) 1997 Elsevier Science B.V.