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 language||English (US)|
|Journal||Physical Review B - Condensed Matter and Materials Physics|
|State||Published - May 12 2014|
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics