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arXiv · 1609.03998

Finite Size Scaling of Topological Entanglement Entropy

Yuting Wang·Tobias Gulden·Alex Kamenev
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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 $L^{-1/α}$ with the size of the subsystem $L$, here $α$ is the Rényi index. This term reveals the universal scaling function $h_α(L/ξ)$, where $ξ$ is the correlation length, which is sensitive to the topological index.

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Yuting Wang, Tobias Gulden, Alex Kamenev. 2016-09-13. Finite Size Scaling of Topological Entanglement Entropy. https://doi.org/10.1103/physrevb.95.075401

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