Vortices in a Monopole Superconducting Weyl Semimetal

A monopole superconductor is a novel topological phase of matter with topologically protected gap nodes as a result of Cooper pairs acquiring a non-zero Berry phase. We study the vortex structure of a Weyl semimetal with broken time-reversal symmetry in the monopole superconducting phase. Within each single isolated vortex, there exists a zero-energy Majorana bound state. The spin up and down components of the Majorana zero mode exhibit a non-trivial winding as a consequence of spin-orbit coupling.