Unconventional Thermal and Magnetic-Field-Driven Changes of a Bipartite Entanglement of a Mixed Spin-(1/2,<i>S</i>) Heisenberg Dimer with an Uniaxial Single-Ion Anisotropy
The concept of negativity is adapted in order to explore the quantum and thermal entanglement of the mixed spin-(1/2,<i>S</i>) Heisenberg dimers in presence of an external magnetic field. The mutual interplay between the spin size <i>S</i>, XXZ exchange and uniaxial single-io...
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oai:doaj.org-article:c190e19c4832404caf88b7524965249f2021-11-25T18:32:25ZUnconventional Thermal and Magnetic-Field-Driven Changes of a Bipartite Entanglement of a Mixed Spin-(1/2,<i>S</i>) Heisenberg Dimer with an Uniaxial Single-Ion Anisotropy10.3390/nano111130962079-4991https://doaj.org/article/c190e19c4832404caf88b7524965249f2021-11-01T00:00:00Zhttps://www.mdpi.com/2079-4991/11/11/3096https://doaj.org/toc/2079-4991The concept of negativity is adapted in order to explore the quantum and thermal entanglement of the mixed spin-(1/2,<i>S</i>) Heisenberg dimers in presence of an external magnetic field. The mutual interplay between the spin size <i>S</i>, XXZ exchange and uniaxial single-ion anisotropy is thoroughly examined with a goal to tune the degree and thermal stability of the pairwise entanglement. It turns out that the antiferromagnetic spin-(1/2,<i>S</i>) Heisenberg dimers exhibit higher degree of entanglement and higher threshold temperature in comparison with their ferromagnetic counterparts when assuming the same set of model parameters. The increasing spin magnitude <i>S</i> accompanied with an easy-plane uniaxial single-ion anisotropy can enhance not only the thermal stability but simultaneously the degree of entanglement. It is additionally shown that the further enhancement of a bipartite entanglement can be achieved in the mixed spin-(1/2,<i>S</i>) Heisenberg dimers, involving half-odd-integer spins <i>S</i>. Under this condition the thermal negativity saturates at low-enough temperatures in its maximal value regardless of the magnitude of half-odd-integer spin <i>S</i>. The magnetic field induces consecutive discontinuous phase transitions in the mixed spin-(1/2,<i>S</i>) Heisenberg dimers with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>S</mi><mspace width="-0.166667em"></mspace><mo>></mo><mspace width="-0.166667em"></mspace><mn>1</mn></mrow></semantics></math></inline-formula>, which are manifested in a surprising oscillating magnetic-field dependence of the negativity observed at low enough temperature.Hana VargováJozef StrečkaMDPI AGarticlequantum and thermal entanglementspin-(1/2,S) Heisenberg dimerexact calculationsuniaxial single-ion anisotropyChemistryQD1-999ENNanomaterials, Vol 11, Iss 3096, p 3096 (2021) |
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quantum and thermal entanglement spin-(1/2,S) Heisenberg dimer exact calculations uniaxial single-ion anisotropy Chemistry QD1-999 |
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quantum and thermal entanglement spin-(1/2,S) Heisenberg dimer exact calculations uniaxial single-ion anisotropy Chemistry QD1-999 Hana Vargová Jozef Strečka Unconventional Thermal and Magnetic-Field-Driven Changes of a Bipartite Entanglement of a Mixed Spin-(1/2,<i>S</i>) Heisenberg Dimer with an Uniaxial Single-Ion Anisotropy |
description |
The concept of negativity is adapted in order to explore the quantum and thermal entanglement of the mixed spin-(1/2,<i>S</i>) Heisenberg dimers in presence of an external magnetic field. The mutual interplay between the spin size <i>S</i>, XXZ exchange and uniaxial single-ion anisotropy is thoroughly examined with a goal to tune the degree and thermal stability of the pairwise entanglement. It turns out that the antiferromagnetic spin-(1/2,<i>S</i>) Heisenberg dimers exhibit higher degree of entanglement and higher threshold temperature in comparison with their ferromagnetic counterparts when assuming the same set of model parameters. The increasing spin magnitude <i>S</i> accompanied with an easy-plane uniaxial single-ion anisotropy can enhance not only the thermal stability but simultaneously the degree of entanglement. It is additionally shown that the further enhancement of a bipartite entanglement can be achieved in the mixed spin-(1/2,<i>S</i>) Heisenberg dimers, involving half-odd-integer spins <i>S</i>. Under this condition the thermal negativity saturates at low-enough temperatures in its maximal value regardless of the magnitude of half-odd-integer spin <i>S</i>. The magnetic field induces consecutive discontinuous phase transitions in the mixed spin-(1/2,<i>S</i>) Heisenberg dimers with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>S</mi><mspace width="-0.166667em"></mspace><mo>></mo><mspace width="-0.166667em"></mspace><mn>1</mn></mrow></semantics></math></inline-formula>, which are manifested in a surprising oscillating magnetic-field dependence of the negativity observed at low enough temperature. |
format |
article |
author |
Hana Vargová Jozef Strečka |
author_facet |
Hana Vargová Jozef Strečka |
author_sort |
Hana Vargová |
title |
Unconventional Thermal and Magnetic-Field-Driven Changes of a Bipartite Entanglement of a Mixed Spin-(1/2,<i>S</i>) Heisenberg Dimer with an Uniaxial Single-Ion Anisotropy |
title_short |
Unconventional Thermal and Magnetic-Field-Driven Changes of a Bipartite Entanglement of a Mixed Spin-(1/2,<i>S</i>) Heisenberg Dimer with an Uniaxial Single-Ion Anisotropy |
title_full |
Unconventional Thermal and Magnetic-Field-Driven Changes of a Bipartite Entanglement of a Mixed Spin-(1/2,<i>S</i>) Heisenberg Dimer with an Uniaxial Single-Ion Anisotropy |
title_fullStr |
Unconventional Thermal and Magnetic-Field-Driven Changes of a Bipartite Entanglement of a Mixed Spin-(1/2,<i>S</i>) Heisenberg Dimer with an Uniaxial Single-Ion Anisotropy |
title_full_unstemmed |
Unconventional Thermal and Magnetic-Field-Driven Changes of a Bipartite Entanglement of a Mixed Spin-(1/2,<i>S</i>) Heisenberg Dimer with an Uniaxial Single-Ion Anisotropy |
title_sort |
unconventional thermal and magnetic-field-driven changes of a bipartite entanglement of a mixed spin-(1/2,<i>s</i>) heisenberg dimer with an uniaxial single-ion anisotropy |
publisher |
MDPI AG |
publishDate |
2021 |
url |
https://doaj.org/article/c190e19c4832404caf88b7524965249f |
work_keys_str_mv |
AT hanavargova unconventionalthermalandmagneticfielddrivenchangesofabipartiteentanglementofamixedspin12isiheisenbergdimerwithanuniaxialsingleionanisotropy AT jozefstrecka unconventionalthermalandmagneticfielddrivenchangesofabipartiteentanglementofamixedspin12isiheisenbergdimerwithanuniaxialsingleionanisotropy |
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