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一些低维自旋系统中的纠缠负性与并发度

Entanglement Negativity and Concurrence in Some Low-Dimensional Spin Systems.

作者信息

Lima Leonardo S

机构信息

Department of Physics, Federal Center for Technological Education of Minas Gerais, Belo Horizonte 30510-000, MG, Brazil.

出版信息

Entropy (Basel). 2022 Nov 10;24(11):1629. doi: 10.3390/e24111629.

DOI:10.3390/e24111629
PMID:36359719
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9689955/
Abstract

The influence of magnon bands on entanglement in the antiferromagnetic XXZ model on a triangular lattice, which models the bilayer structure consisting of an antiferromagnetic insulator and normal metal, is investigated. This effect was studied in ferromagnetic as well as antiferromagnetic triangular lattices. Quantum entanglement measures given by the entanglement negativity have been studied, where a magnon current is induced in the antiferromagnet due to interfacial exchange coupling between localized spins in the antiferromagnet and itinerant electrons in a normal metal. Moreover, quantum correlations in other frustrated models, namely the metal-insulation antiferromagnetic bilayer model and the Heisenberg model with biquadratic and bicubic interactions, are analyzed.

摘要

研究了磁振子能带对三角晶格上反铁磁XXZ模型中纠缠的影响,该模型模拟了由反铁磁绝缘体和普通金属组成的双层结构。在铁磁以及反铁磁三角晶格中都对这种效应进行了研究。研究了由纠缠负性给出的量子纠缠度量,其中由于反铁磁体中局域自旋与普通金属中巡游电子之间的界面交换耦合,在反铁磁体中诱导出磁振子电流。此外,还分析了其他受挫模型中的量子关联,即金属-绝缘反铁磁双层模型以及具有双二次和双三次相互作用的海森堡模型。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b1d0/9689955/134343f55940/entropy-24-01629-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b1d0/9689955/7e3a25bd051c/entropy-24-01629-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b1d0/9689955/64ac4f2fb1a5/entropy-24-01629-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b1d0/9689955/9d2f2dbe9bb8/entropy-24-01629-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b1d0/9689955/9797a200041d/entropy-24-01629-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b1d0/9689955/1605041b488f/entropy-24-01629-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b1d0/9689955/134343f55940/entropy-24-01629-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b1d0/9689955/7e3a25bd051c/entropy-24-01629-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b1d0/9689955/64ac4f2fb1a5/entropy-24-01629-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b1d0/9689955/9d2f2dbe9bb8/entropy-24-01629-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b1d0/9689955/9797a200041d/entropy-24-01629-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b1d0/9689955/1605041b488f/entropy-24-01629-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b1d0/9689955/134343f55940/entropy-24-01629-g006.jpg

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