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arXiv · 1511.08819

Entanglement negativity in two-dimensional free lattice models

Viktor Eisler·Zoltán Zimborás
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Abstract

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.

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BibTeXRIS

Viktor Eisler, Zoltán Zimborás. 2016-03-31. Entanglement negativity in two-dimensional free lattice models. https://doi.org/10.1103/physrevb.93.115148

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