Response of Renyi entanglement entropies of perturbed quantum spin liquids*

We study the behavior of Renyi entanglement entropies in various models including dimer models and fractional quantum hall models that are known to harbor a quantum spin liquid phase when an additional external perturbation $V(lambda)$ is present. 

Previous work in Phys. Rev. Lett. 110, 210602 (2013) has shown that the derivative of the n-th entanglement entropy $delta_{lambda}S_{n}$ with $n in {0.3, ldots, 2.0}$ displays characteristic so-called splitting behavior connected to the quantum information notion of differential local convertibility. Possible relations of the splitting behavior to various phenomena such as a nonflat entanglement spectrum or the presence of anyons are presented.