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

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.