  Distinct from familiar $s$-, $p$-, or $d$-wave pairings, the monopole
superconducting order represents a novel class of pairing order arising from
nontrivial monopole charge of the Cooper pair. In the weak-coupling regime,
this order can emerge when pairing occurs between Fermi surfaces with different
Chern numbers in, for example, doped Weyl semimetal systems. However, the phase
of monopole pairing order is not well-defined over an entire Fermi surface,
making it challenging to design experiments sensitive to both its symmetry and
topology. To address this, we propose a scheme based on symmetry and
topological principles to identify this elusive pairing order through a set of
phase-sensitive Josephson experiments. By examining the discrepancy between
global and local angular momentum of the pairing order, we can unveil the
monopole charge of the pairing order. We demonstrate the proposed probe of
monopole pairing order through analytic and numerical studies of Josephson
coupling in models of monopole superconductor junctions. This work opens a
promising avenue to uncover the unique topological properties of monopole
pairing orders and to distinguish them from known pairing orders based on
spherical harmonic symmetry.
