  We use magnetic flux-tubes to stabilize zero-energy modes in a lattice
realization of a 2-dimensional superconductor from class D of classification
table of topological condensed matter systems. The zero modes are exchanged by
slowly displacing the flux-tubes and an application of the adiabatic theorem
demonstrates the geometric nature of the resulting unitary time-evolution
operators. Furthermore, an explicit numerical evaluation reveals that the
evolutions are in fact topological, hence supplying a representation of the
braid group, which turns out to be non-abelian. This physical representation is
further formalized using single-strand planar diagrams. Lastly, we discuss how
these predictions can be implemented with and observed in classical
meta-materials and how the standard Majorana representation of the braid group
can be generated by measuring derived physical observables.
