Entanglement negativity in two-dimensional free lattice models

Viktor Eisler, Zoltán Zimborás

Research output: Contribution to journalArticlepeer-review


We study the scaling properties of the ground-state entanglement between finite subsystems of infinite two-dimensional free lattice models, as measured by the logarithmic negativity. For adjacent regions with a common boundary, we observe that the negativity follows a strict area law for a lattice of harmonic oscillators, whereas for fermionic hopping models the numerical results indicate a multiplicative logarithmic correction. In this latter case we conjecture a formula for the prefactor of the area-law violating term, which is entirely determined by the geometries of the Fermi surface and the boundary between the subsystems. The conjecture is tested against numerical results and a good agreement is found.

Original languageEnglish
Article number115148
JournalPhysical Review B
Issue number11
Publication statusPublished - 31 Mar 2016

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials


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