  We numerically investigate crystalline order on negative Gaussian curvature
capillary bridges. In agreement with the experimental results in [W. Irvine et
al., Nature, "Pleats in crystals on curved surfaces", 2010, (468), 947]} we
observe for decreasing integrated Gaussian curvature a sequence of transitions,
from no defects to isolated dislocations, pleats, scars and isolated sevenfold
disclinations. We especially focus on the dependency of the detached
topological charge on the integrated Gaussian curvature, for which we observe,
again in agreement with the experimental results, no net disclination for an
integrated curvature down to -10, and a linear behaviour from there on until
the disclinations match the integrated curvature of -12. The results are
obtained using a phase field crystal approach on catenoid-like surfaces and are
highly sensitive to the initialization.
