How Much Delocalisation is Needed for an Enhanced Area Law of the Entanglement Entropy?

Müller, Peter; Pastur, Leonid und Schulte, Ruth (2020): How Much Delocalisation is Needed for an Enhanced Area Law of the Entanglement Entropy? In: Communications in Mathematical Physics, Bd. 376, Nr. 1: S. 649-679

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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0010-3616
• Sprache: Englisch