Effects of Lorentz violation in superconductivity

TL;DR

This paper explores how Lorentz violation impacts superconductivity by developing a modified Ginzburg-Landau theory, analyzing effects on key superconducting properties such as penetration depth, coherence length, and critical magnetic field.

Contribution

It introduces a Lorentz-violating extension to the Ginzburg-Landau theory, providing a novel framework to study Lorentz violation effects in superconducting materials.

Findings

Lorentz-violating tensors alter London's penetration depth.

Coherence length is affected by Lorentz violation.

Critical magnetic field shows measurable changes due to Lorentz violation.

Abstract

This paper presents the effects of Lorentz violation in superconductivity. Constructing a Lorentz-Violating Ginzburg-Landau theory of superconductivity we discuss the influence of the Lorentz-Violating tensors $\hat{k}_{c}^{ij}$ and $\hat{k}_a^i$ in the London's depth penetration, in the coherence length and critical magnetic field.