Critical Fluctuations in Topologically Massive Superconductors

TL;DR

This paper investigates how topological terms influence critical fluctuations and the critical temperature in a superconductivity model, revealing that topological effects can stabilize fluctuations and increase the critical temperature.

Contribution

It demonstrates that topological terms in a Ginzburg-Landau model can enhance the critical temperature and stabilize fluctuations, supported by mean field and renormalization group analyses.

Findings

Topological term increases the critical temperature.

Topological effects persist beyond mean field approximation.

Critical exponents approach mean field values at large topological mass.

Abstract

We consider a topologically massive Ginzburg-Landau model of superconductivity. In the context of a mean field calculation, we show that there is an increase in the critical temperature driven by the topological term. It is shown that this effect persists even if we take into account the critical fluctuations. The renormalization group analysis gives further insight on this behavior. The fixed point structure is such that the critical exponents tend to their mean field values for very large values of the topological mass. In this sense, the topological term stabilizes the critical fluctuations of the order parameter.