Quantum phase excitations in Ginzburg-Landau superconductors

TL;DR

This paper generalizes Ginzburg-Landau theory by replacing the phase field with a Kalb-Ramond field, predicting that quantum vortex effects at low temperatures can destroy superconductivity.

Contribution

It introduces a novel theoretical framework incorporating antisymmetric fields into superconductivity models, highlighting quantum effects on vortex behavior.

Findings

Vortices can destroy superconductivity at low temperatures.

The theory predicts quantum phase effects are significant in superconductors.

A new mathematical approach to superconductivity modeling.

Abstract

We give a straightforward generalization of the Ginzburg-Landau theory for superconductors where the scalar phase field is replaced by an antisymmetric Kalb-Ramond field. We predict that at very low temperatures, where quantum phase effects are expected to play a significant role, the presence of vortices destroys superconductivity.