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

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

2011-08-19

arxiv.org/abs/1108.3942v2

EPL 97, 67009 (2012)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 5 figures

Scientific paper

10.1209/0295-5075/97/67009

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.

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