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Müller, Peter; Pastur, Leonid; Schulte, Ruth (2020): How Much Delocalisation is Needed for an Enhanced Area Law of the Entanglement Entropy? In: Communications in Mathematical Physics, Vol. 376, No. 1: pp. 649-679
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Abstract

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.