ONLY HYBRID ANYONS CAN EXIST IN THE BROKEN SYMMETRY PHASE OF NONRELATIVISTIC [U(1)]2 CHERN-SIMONS THEORY

We present two examples of parity-invariant [U(1)]2 Chern-Simons-Higgs models with spontaneously broken symmetry. The models possess topolog ical vortex excitations. It is argued that the smallest possible flux quanta are composites of one quantum of each type (1,1). These hybrid anyons will dominate the statistical properties near the ground state. We analyze their statistical interactions and find out that, unlike i n the case of Jackiw-Pi solitons, there is a short range magnetic inte raction which can lead to the formation of bound states of hybrid anyo ns. In addition to mutual interactions they possess an internal struct ure which can lead upon quantization to a discrete spectrum of energy levels.