Experiments looking for monopoles Background: (skip it if you know it)
In the easiest formulation of classical electromagnetism magnetic monopoles do not exist. In fact, the Maxwell's equation $\nabla \cdot \vec{B}=0$ implies (using Gauss' Theorem) that the surface integral of the flux of $\vec{B}$ over the bounday of any finite surface is zero. Therefore no isolated magnetic charges (i.e monopoles do exist).
However Dirac discovered that even if a single monopole existed in the universe, we could then explain in a rather easy way why the electric charge is quantized. Note that since the charge is not an observable its quantization is completely different than the quantization of energy or momentum in QM, for example.
Furthermore, in the recent developings of QFT, the theoretical model we usually assume implies that every time a gauge symmetry is broken monopoles (and other kind of topological defects such as solitons) arise.
Since in the hot big bang model it is usually belived that many gauge symmetries were broken in a primordial of the universe, monopoles of various kinds (not just magnetic monopoles but also Yang-Mills ones) could (at least this is what teorists say) have been produced.
Up to date, not a single monopole has been found by experiments.
With this in mind I ask the following
Question:

Which experiments are currently being carried over to look for magnetic, and other types of, monopoles?

 A: I work on an experiment that involves trying to create magnetic monopoles in a type of material called a spin ice (Dy2Ti2O7) so called because its spins obey the same rules as ice water.
The interesting part of the structure is a tetrahedra of rare earth atoms where in the ground state you have two spins pointing in and two spins pointing out across its four corners. If you excite the system you can flip one of the spins in the system so you have for example 3 in 1 out spins. This can give a net charge at one tetrahedra. To balance this an opposite spin flip will occur elsewhere in the lattice so you effectively have a dipole. 
The interesting thing about this is that you will have a chain of connected spin flips (a Dirac string) between the two tetrahedra with net charge but it doesn't cost any energy to flip the spins between these two sites. This means that each part of the dipole can propagate entirely independently of the other meaning that it is a site of charge that is not energetically linked to an opposite site of charge making this a monopole. 
You can look for these features using neutron diffraction (that being the experiment, to answer your question).
If you want to read some more on the topic  Castelnovo et al. is a good place to start as is Morris et al.

The most famous experiment looking for monopoles in condensed matter is the Stanford monopole experiment.
