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

A. P. C. Malbouisson·F. S. Nogueira·N. F. Svaiter
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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, $θ$, drives the system into different regimes of phase transition. For instance, there is a $θ_{c}$ such that for $θ<θ_{c}$ a fluctuation induced first order phase transition occurs. On the other hand, for $θ>θ_{c}$ 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.

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A. P. C. Malbouisson, F. S. Nogueira, N. F. Svaiter. 1997-11-28. A note on the phase transition in a topologically massive Ginzburg-Landau theory. https://doi.org/10.1209/epl%2Fi1998-00189-8

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