Abstract
The quantum effective potential of a three-dimensional Abelian Maxwell-mixed-Chern-Simons gauge theory coupled to complex fields and massless fermions is investigated at zero temperature. The insulating phase of the related self-dual Josephson junction array is found to be stable against gauge field fluctuations since these do not induce symmetry breaking terms in the one-loop effective potential. Conversely, coupling to gapless fermions is shown to generate correction terms in the effective potential which change the symmetry of the ground state and favor transitions between the insulating and superconducting states.
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