BULK PROPERTIES OF CHERN-SIMONS SUPERCONDUCTIVITY AT FINITE TEMPERATURES

We study Chern-Simons (CS) superconductivity at finite temperatures fo r a system of two dimensional 'spin-1/2' fermions which are minimally coupled to both the CS and Maxwell gauge fields. We evaluate the elect romagnetic response of the system as well as its thermodynamic propert ies within the mean field formalism. Our results for magnetic suscepti bility, conductivity and dielectric constant show a sharp transition t o the normal state over a narrow range of temperatures. The vanishing of the off-diagonal conductivity due to a corresponding fall in parity and time reversal (P, T) violating correlation factor may be interpre ted to be an effective restoration of P, T symmetries in the macroscop ic state. We find that the spin correlation function has a negligibly small numerical value at all temperatures, which implies that the ther mal fluctuations dominate over the quantum fluctuations in the spin st ate. To explore the validity of mean field theory at high temperatures (HT), we compare the responses as well as the form factors for both m ean field and free field (perturbative) formalism and find that they a re essentially equivalent at HT. Finally, we present a coarse criterio n for the validity of the mean held ansatz by regulating the CS Lagran gian with a Maxwell term.