%0 Journal Article
%T On the entanglement across a cubic interface in 3+1 dimensions
%A Trithep Devakul
%A Rajiv R. P. Singh
%J Physics
%D 2014
%I arXiv
%R 10.1103/PhysRevB.90.054415
%X We calculate the area, edge and corner Renyi entanglement entropies in the ground state of the transverse-field Ising model, on a simple-cubic lattice, by high-field and low-field series expansions. We find that while the area term is positive and the line term is negative as required by strong subadditivity, the corner contributions are positive in 3-dimensions. Analysis of the series suggests that the expansions converge up to the physical critical point from both sides. The leading area-law Renyi entropies match nicely from the high and low field expansions at the critical point, forming a sharp cusp there. We calculate the coefficients of the logarithmic divergence associated with the corner entropy and compare them with conformal field theory results with smooth interfaces and find a striking correspondence.
%U http://arxiv.org/abs/1407.0084v2