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.

Minor corrections, published version

References in corpus (8)

• Non-Abelian Anyons and Topological Quantum Computation
• Scanning tunneling spectroscopy of high-temperature superconductors
• Chiral CP^2 skyrmions in three-band superconductors
• Quartic metal: Spontaneous breaking of time-reversal symmetry due to four-fermion correlations in Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$
• Observation of superconducting vortices carrying a temperature-dependent fraction of the flux quantum
• Calorimetric evidence for two phase transitions in Ba${}_{1-\mathrm{x}}$K${}_{\mathrm{x}}$Fe${}_2$As${}_2$ with fermion pairing and quadrupling states
• Demonstration of $\mathbb{C}{P}^2$ skyrmions in three-band superconductors by self-consistent solutions to a Bogoliubov-de Gennes model
• Effects of intercomponent couplings on the appearance of time-reversal symmetry breaking fermion quadrupling state in two-component London models