Meissner effect and the plasmon spectrum in an interacting-anyon system

A study of the Meissner effect and the plasmon spectrum for an interacting anyon system is presented. It is shown that the Meissner effect is not sensitive to, and still persists in, the presence of repulsive Coulomb interaction among anyons. Within the random-phase approximation we show that the long-wavelength collective excitation of the system corresponds to the plasmon mode of a two-dimensional interacting electron gas and it does not depend on the statistics associated with the anyons. When the Coulomb interaction is turned off, the sound mode predicted by Fetter, Hanna, and Laughlin [Phys. Rev. B 39, 9679 (1989)] is recovered. A similar analysis on an array of layered anyon systems is also reported.