Phys. Rev. B 59, 554–560 (1999)Critical properties of the topological Ginzburg-Landau modelReceived 28 April 1998; published in the issue dated 1 January 1999 We consider a Ginzburg-Landau model for superconductivity with a Chern-Simons term added. The flow diagram contains two charged fixed points corresponding to the tricritical and infrared stable fixed points. The topological coupling controls the fixed-point structure and eventually the region of first-order transitions disappears. We compute the critical exponents as a function of the topological coupling. We obtain that the value of the ν exponent does not vary very much from the XY value, νXY=0.67. This shows that the Chern-Simons term does not affect considerably the XY scaling of superconductors. We discuss briefly the possible phenomenological applications of this model. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.59.554
DOI:
10.1103/PhysRevB.59.554
PACS:
74.20.De, 11.10.Hi
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