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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Autores principales: Hana Vargová, Jozef Strečka
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spelling 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)
institution DOAJ
collection DOAJ
language EN
topic quantum and thermal entanglement
spin-(1/2,S) Heisenberg dimer
exact calculations
uniaxial single-ion anisotropy
Chemistry
QD1-999
spellingShingle 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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