Josephson effects of monopole superconductivity in Weyl semimetals

In this talk, we would like to propose experimental signatures of monopole superconductivity in time-reversal symmetry broken Weyl semimetals, where nontrivial Berry phases of Cooper pairs lead to novel nodal superconducting symmetry protected by topology. By calculating the energy-phase relation of a Josephson junction between superconducting Weyl semimetals, we show the zero-energy Majorana modes emerging at the junction interface that leads to a single electron tunneling with $4\pi$ fractional Josephson effect. Furthermore, we show a sharp signature of the interference pattern arise from a SQUID for probing the pairing symmetry of a Weyl superconductor.