Anyone know some good introductory references on the physics of anyons?
One of the best recent references is the 2008 RMP article by Nayak et al. Non-Abelian Anyons and Topological Quantum Computation
A somewhat less technical reference is An Anyon Primer by Sumathi Rao.
There are many others but these two are good for someone starting out.
In the presence of magnetic field, I like very much the contribution of S. Ouvry in the Séminaires Poincaré.