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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• Precise determination of critical points of topological phase transitions via shift current in two-dimensional inversion asymmetric insulators
• Self-organization in many-body systems with short-range interactions: clustering, correlations and topology
• Entanglement and edge effects in superpositions of many-body Fock states with spatial constraints
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