Entanglement negativity in a two dimensional harmonic lattice: area law and corner contributions

@article{DeNobili2016EntanglementNI,
  title={Entanglement negativity in a two dimensional harmonic lattice: area law and corner contributions},
  author={Cristiano De Nobili and Andrea Coser and Erik Tonni},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2016},
  volume={2016}
}
We study the logarithmic negativity and the moments of the partial transpose in the ground state of a two dimensional massless harmonic square lattice with nearest neighbour interactions for various configurations of adjacent domains. At leading order for large domains, the logarithmic negativity and the logarithm of the ratio between the generic moment of the partial transpose and the moment of the reduced density matrix at the same order satisfy an area law in terms of the length of the curve… 

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