A note on the phase transition in a topologically massive Ginzburg-Landau theory

Abstract

We consider the phase transition in a model which consists of a Ginzburg-Landau free energy for superconductors including a Chern-Simons term. The mean field theory of Halperin, Lubensky and Ma [Phys. Rev. Lett. 32, 292 (1974)] is applied for this model. It is found that the topological mass, $\theta$, drives the system into different regimes of phase transition. For instance, there is a ${\theta }_c$ such that for $\theta <{\theta }_c$ a fluctuation induced first order phase transition occurs. On the other hand, for $\theta >{\theta }_c$ only the second order phase transition exists. The 1-loop renormalization group analysis gives further insight to this picture. The fixed point structure exhibits tricritical and second order fixed points.

Revised version; uses a more physical parametrization of the renormalization group equations; new references added; one figure added; EuroLatex, 6 pages

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