Entanglement entropy at infinite-randomness fixed points in higher dimensions

Yu Cheng Lin, Ferenc Iglói, Heiko Rieger

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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.

Original languageEnglish
Article number147202
JournalPhysical review letters
Issue number14
Publication statusPublished - Oct 2 2007


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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