Anyons and Topological Order
Topologically ordered phases differ by the topological interaction between the particles they support and you will understand why when you get to Sect. 2.2 of this chapter. However, I will begin this chapter with a more familiar topological interaction, the distinction between bosons and fermions. Attacking this problem from the right angle leads to the notion of particles with other topological interactions—the Abelian anyons. Here you will also see how topological interactions can be understood as an exchange of a Chern-Simons (CS) gauge boson.
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