SUPERCONDUCTIVITY IN THE ANYON MODEL

We analyze a two-dimensional system of electrons or holes, interacting via, in addition to the electromagnetic fields, the Chern-Simons gauge fields (a) equipped with the action (/2)(a a. For =e2N/2 (N=2,4,6,...), the ground state is unique and a spin singlet, having completely filled Landau levels with respect to the Chern-Simons magnetic fields. For these values of, equations are derived that replace the London equations in BCS theory. It is shown that a complete Meissner effect operates at zero temperature. Integer quantum Hall effects in the Chern-Simons fields play a crucial role. The magnetic penetration depth coincides with that in BCS theory as long as N 1000. © 1990 The American Physical Society.