Corner contribution to percolation cluster numbers in three dimensions

István A. Kovács, Ferenc Iglói

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 (US)
Article number174202
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number17
StatePublished - May 12 2014

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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