On the entanglement across a cubic interface in 3+1 dimensions

  title={On the entanglement across a cubic interface in 3+1 dimensions},
  author={Trithep Devakul and Rajiv R. P. Singh},
  journal={Physical Review B},
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… Expand

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