Using topological entanglement entropy to identify low energy effective field theories of fractional Chern Insulators

The physics of quantum interacting many-body systems allow for a wide variety of phases, whose properties are governed by low energy field theories. In this talk, we write down prototypical parton Chern insulating wave-functions with chern numbers 1,2,3, and 5 and determine their corresponding low energy effective field theory by computing their topological entanglement entropy. We also discuss non-universal aspects of the entanglement entropy including the effect of changing the mass on the corner terms and the slope of the area law.