The inverted XY universality of the superconductivity phase transition

TL;DR

This paper numerically investigates a specific limit of the Ginzburg-Landau theory, confirming its duality with the XY model transition, which clarifies previous simulation issues and experimental discrepancies.

Contribution

It demonstrates an exact duality between a limit of the Ginzburg-Landau theory and the XY model transition, providing new insights into superconductivity phase transitions.

Findings

Confirmed duality between Ginzburg-Landau limit and XY transition

Clarified issues in standard GL theory simulations

Explained experimental failure to observe XY scaling

Abstract

It has been conjectured that the phase transition in the Ginzburg-Landau theory is dual to the XY model transition. We study numerically a particular limit of the GL theory where this duality becomes exact, clarifying some of the problems encountered in standard GL theory simulations. This may also explain the failure of the superconductor experiments to observe the XY model scaling.