%0 Journal Article %T Edge Modes in the Hierarchical Fractional Quantum Hall Liquids with Coulomb Interaction %A Takao Morinari %A Naoto Nagaosa %J Physics %D 1996 %I arXiv %R 10.1016/0038-1098(96)00379-1 %X Edge modes are studied for the hierarchical fractional quantum Hall liquids (FQHL) by treating the edge and bulk in a unified fashion. Within the RPA treatment of the composite boson effective theory with Coulomb interaction, one edge magneto-plasmon is shown to be the eigen-mode of the system. This mode decays algebraically perpendicular to the edge. All the other modes decay faster than power-law, and correspond to the neutral modes. However these neutral modes generally couple with the electromagnetic field within the magnetic length from the edge. The time-of-flight experiment in the $\nu=2/3$ FQHL is discussed in terms of these results. %U http://arxiv.org/abs/cond-mat/9606010v1