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

I. A. Kovács, F. Iglói

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22 Citations (Scopus)

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.

Original languageEnglish
Article number67009 (6pp)
JournalEPL
Volume97
Issue number6
DOIs
Publication statusPublished - Mar 2012

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Ising model
disorders
entropy
renormalization group methods
critical point

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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Universal logarithmic terms in the entanglement entropy of 2d, 3d and 4d random transverse-field Ising models. / Kovács, I. A.; Iglói, F.

In: EPL, Vol. 97, No. 6, 67009 (6pp), 03.2012.

Research output: Contribution to journalArticle

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