Eisler, Viktor and Zimborás, Zoltán (2016) Entanglement negativity in two-dimensional free lattice models. PHYSICAL REVIEW B, 93 (11). ISSN 2469-9950
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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.
| Item Type: | Article |
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| Uncontrolled Keywords: | SYSTEMS; ENTROPY; DENSITY-MATRICES; SEPARABILITY CRITERION; |
| Subjects: | Q Science / természettudomány > Q1 Science (General) / természettudomány általában |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 11 Jul 2023 05:05 |
| Last Modified: | 11 Jul 2023 05:07 |
| URI: | http://real.mtak.hu/id/eprint/169353 |
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