Logarithmic conformal field theories as limits of ordinary CFTs and some physical applications
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 46:49 (2013) ARTN 494001
Some results on the mutual information of disjoint regions in higher dimensions
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 46:28 (2013) ARTN 285402
The Legacy of Ken Wilson
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2013) ARTN P10002
Corner contribution to percolation cluster numbers
Physical Review B - Condensed Matter and Materials Physics 86:21 (2012)
Abstract:
We study the number of clusters in two-dimensional (2d) critical percolation, NΓ, which intersect a given subset of bonds, Γ. In the simplest case, when Γ is a simple closed curve, N Γ is related to the entanglement entropy of the critical diluted quantum Ising model, in which Γ represents the boundary between the subsystem and the environment. Due to corners in Γ there are universal logarithmic corrections to NΓ, which are calculated in the continuum limit through conformal invariance, making use of the Cardy-Peschel formula. The exact formulas are confirmed by large-scale Monte Carlo simulations. These results are extended to anisotropic percolation where they confirm a result of discrete holomorphicity. © 2012 American Physical Society.Entanglement Negativity in Quantum Field Theory
PHYSICAL REVIEW LETTERS 109:13 (2012) ARTN 130502