Finite Size Scaling of Topological Entanglement Entropy

Abstract

We consider scaling of the entanglement entropy across a topological quantum phase transition in one dimension. The change of the topology manifests itself in a sub-leading term, which scales as $L^{-1/\alpha }$ with the size of the subsystem $L$, here $\alpha$ is the Rényi index. This term reveals the universal scaling function $h_{\alpha }(L/\xi )$, where $\xi$ is the correlation length, which is sensitive to the topological index.

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Cited by in corpus (1)

• Multi-fractality of the entanglement Hamiltonian eigen-modes