Critical Exponents of the Superconducting Phase Transition

TL;DR

This paper investigates the critical exponents of the superconducting phase transition using a dual Ginzburg-Landau formulation, revealing a stable fixed point and connections to superfluid behavior.

Contribution

It introduces a dual formulation of Ginzburg-Landau theory with a stable fixed point, providing new insights into critical exponents and phase transition behavior.

Findings

Critical exponents match those of a superfluid with reversed temperature axis.

The dual formulation describes a loop gas of Abrikosov flux tubes.

Identifies an infrared stable fixed point in the theory.

Abstract

We study the critical exponents of the superconducting phase transition in the context of renormalization group theory starting from a dual formulation of the Ginzburg-Landau theory. The dual formulation describes a loop gas of Abrikosov flux tubes which proliferate when the critical temperature is approached from below. In contrast to the Ginzburg-Landau theory, it has a spontaneously broken global symmetry and possesses an infrared stable fixed point. The exponents coincide with those of a superfluid with reversed temperature axis.