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

Yuting Wang, Tobias Gulden, Alex Kamenev

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


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.

Original languageEnglish (US)
Article number075401
JournalPhysical Review B
Issue number7
StatePublished - Feb 1 2017

Bibliographical note

Funding Information:
This work was supported by NSF Grant No. DMR-1608238.

Publisher Copyright:
© 2017 American Physical Society.


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