Weyl-Majorana solenoid

A Weyl semimetal wire with an axial magnetization has metallic surface states (Fermi arcs) winding along its perimeter, connecting bulk Weyl cones of opposite topological charge (Berry curvature). We investigate what happens to this "Weyl solenoid" if the wire is covered with a superconductor, by determining the dispersion relation of the surface modes propagating along the wire. Coupling to the superconductor splits the Dirac fermion mode into a pair of Majorana modes, separated by an excitation gap. Upon variation of the coupling strength along the wire there is a gap inversion that traps the Majorana fermions.