Yu-Cheng Lin, Ferenc Igloi, Heiko Rieger
Published 2007-04-03, updated 2007-08-28Version 2
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.
Comments: References updated; Accepted for publication in Phys. Rev. Lett
Journal: Phys. Rev. Lett. 99, 147202 (2007)
Entanglement Entropy in the Two-Dimensional Random Transverse Field Ising Model
Effect of long range connections on an infinite randomness fixed point associated with the quantum phase transitions in a transverse Ising model
Entanglement Entropy of the Two-Dimensional +-J Ising Model on the Nishimori Line
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