Universal logarithmic terms in the entanglement entropy of 2d, 3d and 4d random transverse-field Ising models

¹ Department of Physics, Loránd Eötvös University - H-1117 Budapest, Pázmány P. s. 1/A, Hungary, EU
² Wigner Research Centre, Institute for Solid State Physics and Optics H-1525 Budapest, P.O. Box 49, Hungary, EU
³ Institute of Theoretical Physics, Szeged University - H-6720 Szeged, Hungary, EU

^a kovacs.istvan@wigner.mta.hu
^b igloi.ferenc@wigner.mta.hu

Received: 24 January 2012
Accepted: 27 February 2012

Abstract

The entanglement entropy of the random transverse-field Ising model is calculated by a numerical implementation of the asymptotically exact strong disorder renormalization group method in 2d, 3d and 4d hypercubic lattices for different shapes of the subregion. We find that the area law is always satisfied, but there are analytic corrections due to E-dimensional edges (1⩽E⩽d− 2). More interesting is the contribution arising from corners, which is logarithmically divergent at the critical point and its prefactor in a given dimension is universal, i.e., independent of the form of disorder.