Abstract

We consider a two-dimensional Chern-Simons gauge theory where the gauge field couples to an internal degree of freedom of the fermion. For a fixed gauge coupling g there exists a finite window of Chern-Simons magnetic moment coupling g' for which a nonzero Chern-Simons magnetic field is generated at T=0. The system then is superconducting without Cooper pairing. There is a second-order thermodynamic phase transition at ${\mathit{T}}_{\mathit{c}}$>0 where the Chern-Simons magnetic field goes to zero and superconductivity terminates.

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