title: Entanglement entropy at infinite-randomness fixed points in higher dimensions.
abstract: The entanglement entropy of the two-dimensional random transverse Ising model is studied with a numerical implementation of the strong-disorder renormalization group. The asymptotic behavior of the entropy per surface area diverges at, and only at, the quantum phase transition that is governed by an infinite-randomness fixed point. Here we identify a double-logarithmic multiplicative correction to the area law for the entanglement entropy. This contrasts with the pure area law valid at the infinite-randomness fixed point in the diluted transverse Ising model in higher dimensions.
authors.affiliation: Theoretische Physik, Universität des Saarlandes, 66041, Saarbrücken, Germany.
authors.forename: Yu-Cheng
authors.initials: YC
authors.lastname: Lin
authors.forename: Ferenc
authors.initials: F
authors.lastname: Iglói
authors.forename: Heiko
authors.initials: H
authors.lastname: Rieger