2014/02/28 by Istvan A. Kovacs, Ferenc Igloi
Physics and Astronomy · #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.89.174202
published as Phys. Rev. B. 89 174202 (2014) · 6 pages, 7 figures. arXiv admin note: text overlap with arXiv:1210.4671
arxiv created 2014/05/14 · arxiv updated 2014/07/30
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 bΓ ln LΓ, 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.