How much delocalisation is needed for an enhanced area law of the entanglement entropy?
arXiv:1903.05057 · doi:10.1007/s00220-019-03523-3
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.
arXiv comment29 pages, changes in v3: correction of an error in the appendix in Lemma A.2, typos corrected
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- An enhanced term in the Szegő-type asymptotics for the free massless Dirac operator