Entanglement negativity in two-dimensional free lattice models

Viktor Eisler, Zoltán Zimborás

Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

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.

Originalspracheenglisch
Aufsatznummer115148
FachzeitschriftPhysical Review / B
Jahrgang93
Ausgabenummer11
DOIs
PublikationsstatusVeröffentlicht - 31 Mär 2016

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Fermi surface
harmonic oscillators
Ground state
Fermi surfaces
scaling
ground state
Geometry
geometry

ASJC Scopus subject areas

  • !!Condensed Matter Physics
  • !!Electronic, Optical and Magnetic Materials

Dies zitieren

Entanglement negativity in two-dimensional free lattice models. / Eisler, Viktor; Zimborás, Zoltán.

in: Physical Review / B, Jahrgang 93, Nr. 11, 115148, 31.03.2016.

Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

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