Finite-size scaling of entanglement entropy in one-dimensional topological models

We consider scaling of the entanglement entropy across a topological quantum phase transition for the Kitaev chain model. The change of the topology manifests itself in a subleading term, which scales as L-1/α with the size of the subsystem L, here α is the Rényi index. This term reveals the scaling function hα(L/ξ), where ξ is the correlation length, which is sensitive to the topological index. The scaling function hα(L/ξ) is independent of model parameters, suggesting some degree of its universality.