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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.
Original language | English |
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Article number | 115148 |
Journal | Physical Review B |
Volume | 93 |
Issue number | 11 |
DOIs | |
Publication status | Published - 31 Mar 2016 |
ASJC Scopus subject areas
- Condensed Matter Physics
- Electronic, Optical and Magnetic Materials
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Dive into the research topics of 'Entanglement negativity in two-dimensional free lattice models'. Together they form a unique fingerprint.Projects
- 1 Finished
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FWF-ECOFFEQ - Entanglement and correlations far from equillibrium
1/09/15 → 31/08/18
Project: Research project