Magnetic Response of the Many-Particle Chern-Simons Gauge Theory in (2+1) Dimensions

Abstract

An investigation of the magnetic response of the many-particle (µ ≠ 0) anyon fluid in the low density limit (n e < Nm 2) is presented. We start from the criterion that in a many-particle system the self-consistent zero temperature formulation is obtained as the T → 0 limit of the thermal theory. Contrary to what occurs in anyon QFT (T = 0); in the T → 0 limit of the many-particle theory, superconductivity arises only in the case that an electric field, transverse to the supercurrent in the plane of the two dimensional fluid, is considered. We interpret this transverse electric field as a simulation of the vortex effects in charged anyon fluids. This boundary Hall potential in the effective linear theory can be seen as a simple way to model vortex effects in anyon superconductivity. In this way our simplified model serves to reveal that, even at zero temperature (T → 0) , superconductivity in a charged anyon fluid can take place only in the presence of vortices.