Superconductivity of an interacting anyon system

In this paper 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 collective excitation of the system in the long-wavelength limit corresponds to the plasmon mode of a two dimensional interacting electron gas and it does not depend on the statistics associated with the anyons. There is a roton minimum of the collective mode at a finite value of the wavevector. A similar analysis on an array of layered anyon systems is also reported