Microscopic properties of fractional vortices and domain walls in three-band $s+is$ superconductors

TL;DR

This paper provides microscopic solutions for fractional vortices and domain walls in three-band $s+is$ superconductors, revealing their magnetic field patterns and tunneling conductance signatures, aiding experimental identification.

Contribution

It introduces a self-consistent microscopic Bogoliubov-de-Gennes model for fractional vortices and domain walls in three-band $s+is$ superconductors, detailing their properties and experimental signatures.

Findings

Characteristic magnetic field distribution patterns identified.

Tunneling conductance calculations enable distinguishing fractional vortices.

Microscopic solutions align with recent experimental observations.

Abstract

Several experimental observations of objects carrying fractional flux quanta in superconductors were recently reported. Here, we provide microscopic solutions for vortices carrying a variable fraction of magnetic flux quantum and domain walls in a three-band $s + is$ superconductor and investigate their properties. We obtain solutions in a fully self-consistent treatment of a microscopic three-band Bogoliubov-de-Gennes model. This demonstrates the characteristic patterns for the magnetic field distribution. The microscopic formalism allows for calculating tunneling conductance that may be used to distinguish fractional vortices from conventional single flux quanta vortices in Scanning Tunneling Microscopy.