I am reading about short range and long range entanglement. I know that topological insulator is short range entangled (SRE), STP state as we can disentangle it by breaking the symmetry using magnetic impurity. It's also given that FQHE is LRE (long range entanglement) state.
I have done a numerical simulation for IQHE on a square lattice and have introduced a magnetic impurity in it, the edge states are still protected. Now I wish to ascertain this conclusion is correct and understand why. If it is correct then IQHE is LRE, otherwise it's SRE. Please explain, as I am uncertain.