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

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

1997-05-22

arxiv.org/abs/cond-mat/9705228v3

Europhys.Lett.41:547-552,1998

Physics

Condensed Matter

Superconductivity

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

Scientific paper

10.1209/epl/i1998-00189-8

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.

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