How much delocalisation is needed for an enhanced area law of the entanglement entropy?

We consider the random dimer model in one space dimension with Bernoulli disorder. For sufficiently small disorder, we show that the entanglement entropy exhibits at least a logarithmically enhanced area law if the Fermi energy coincides with a critical energy of the model where the localisation len...

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Veröffentlicht in:	arXiv.org 2019-11
Hauptverfasser:	Müller, Peter, Pastur, Leonid, Schulte, Ruth
Format:	Artikel
Sprache:	eng
Schlagworte:	Dimers Entanglement Entropy Mathematics - Mathematical Physics Mathematics - Spectral Theory Physics - Mathematical Physics Physics - Quantum Physics
Online-Zugang:	Volltext
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Zusammenfassung:	We consider the random dimer model in one space dimension with Bernoulli disorder. For sufficiently small disorder, we show that the entanglement entropy exhibits at least a logarithmically enhanced area law if the Fermi energy coincides with a critical energy of the model where the localisation length diverges.
ISSN:	2331-8422
DOI:	10.48550/arxiv.1903.05057