Corner contribution to percolation cluster numbers in three dimensions

István A. Kovács, F. Iglói

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In three-dimensional critical percolation we study numerically the number of clusters NΓ which intersect a given subset of bonds Γ. If Γ represents the interface between a subsystem and the environment, then NΓ is related to the entanglement entropy of the critical diluted quantum Ising model. Due to corners in Γ there are singular corrections to NΓ, which scale as bΓlnLΓ, with LΓ being the linear size of Γ and the prefactor bΓ is found to be universal. This result indicates that logarithmic finite-size corrections exist in the free energy of three-dimensional critical systems.

Original languageEnglish
Article number174202
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume89
Issue number17
DOIs
Publication statusPublished - May 12 2014

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Ising model
Free energy
Entropy
set theory
free energy
entropy

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Corner contribution to percolation cluster numbers in three dimensions. / Kovács, István A.; Iglói, F.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 89, No. 17, 174202, 12.05.2014.

Research output: Contribution to journalArticle

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