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

¹ Centro Brasileiro de Pesquisas Fisicas-CBPF, Rua Dr. Xavier Sigaud 150, Rio de Janeiro, RJ 22290-180, Brazil
² Centre de Physique Theorique, Ecole Polytechnique, F-91128 Palaiseau Cedex, France and Instituto de Matemática e Estatística, Universidade do Estado do Rio de Janeiro-UERJ, Rua São Francisco Xavier 524, Bl. B, Rio de Janeiro, RJ 20559-900, Brazil

Received: 27 May 1997
Accepted: 15 January 1998

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 (1974) 292) 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 such that for a fluctuation-induced first-order phase transition occurs. On the other hand, for only the second-order phase transition exists. The 1-loop renormalization group analysis gives further insight into this picture. The fixed-point structure exhibits tricritical and second-order fixed points.