Proposed Spontaneous Generation of Magnetic Fields by Curved Layers of a Chiral Superconductor

TL;DR

This paper shows that curved layers of chiral superconductors naturally generate magnetic fields due to their geometry, serving as a clear signature of their chiral nature and explaining some phenomena related to Majorana modes.

Contribution

It introduces the geometric Meissner effect as a new signature of chiral superconductivity and links it to observable magnetic flux on curved surfaces.

Findings

Curved chiral superconductors spontaneously generate magnetic flux.

The geometric Meissner effect can serve as an experimental signature.

The effect helps explain the positioning of Majorana modes.

Abstract

We demonstrate that two-dimensional chiral superconductors on curved surfaces spontaneously develop magnetic flux. This geometric Meissner effect provides an unequivocal signature of chiral super- conductivity, which could be observed in layered materials under stress. We also employ the effect to explain some puzzling questions related to the location of zero-energy Majorana modes.