Ferrimagnetic spin-1/2 chain of alternating Ising and Heisenberg spins in arbitrarily oriented magnetic field
The ferrimagnetic spin-1/2 chain composed of alternating Ising and Heisenberg spins in an arbitrarily oriented magnetic field is exactly solved using the spin-rotation transformation and the transfer-matrix method. It is shown that the low-temperature magnetization process depends basically on a spa...
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| Дата: | 2012 |
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| Автори: | , , , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2012
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/120296 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Ferrimagnetic spin-1/2 chain of alternating Ising and Heisenberg spins in arbitrarily oriented magnetic field / J. Strečka, M. Hagiwara, Y. Han, T. Kida, Z. Honda, M. Ikeda // Condensed Matter Physics. — 2012. — Т. 15, № 4. — С. 43002:1-11. — Бібліогр.: 15 назв. — англ. |
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irk-123456789-1202962017-06-12T03:04:13Z Ferrimagnetic spin-1/2 chain of alternating Ising and Heisenberg spins in arbitrarily oriented magnetic field Strečka, J. Hagiwara, M. Han, Y. Kida, T. Honda, Z. Ikeda, M. The ferrimagnetic spin-1/2 chain composed of alternating Ising and Heisenberg spins in an arbitrarily oriented magnetic field is exactly solved using the spin-rotation transformation and the transfer-matrix method. It is shown that the low-temperature magnetization process depends basically on a spatial orientation of the magnetic field. A sharp stepwise magnetization curve with a marked intermediate plateau, which emerges for the magnetic field applied along the easy-axis direction of the Ising spins, becomes smoother and the intermediate plateau shrinks if the external field is tilted from the easy-axis direction. The magnetization curve of a polycrystalline system is also calculated by performing powder averaging of the derived magnetization formula. The proposed spin-chain model brings an insight into high-field magnetization data of 3d-4f bimetallic polymeric compound Dy(NO₃)(DMSO)₂Cu(opba)(DMSO)₂, which provides an interesting experimental realization of the ferrimagnetic chain composed of two different but regularly alternating spin-1/2 magnetic ions Dy³+ and Cu²+ that are reasonably approximated by the notion of Ising and Heisenberg spins, respectively. Феримагнiтний спiн-1/2 ланцюжок, який складається з почергових Гайзенбергових та Iзингових спiнiв у довiльно орiєнтованому магнiтному полi, розв’язується точно, використовуючи перетворення повороту спiнiв та метод трансфер-матрицi. Показано, що низькотемпературний процес намагнiчення залежить в основному вiд просторової орiєнтацiї магнiтного поля. Гостра сходинкоподiбна форма кривої намагнi-ченостi з помiтним промiжним плато, яке з’являється у магнiтному полi прикладеному вздовж напрямку легкої осi Iзингових спiнiв, стає гладшою та промiжне плато коротшає, якщо зовнiшнє поле вiдхиляється вiд напрямку легкої осi. Крива намагнiченостi полiкристалiчної системи також обчислюється, здiйсню-ючи конфiгурацiйне усереднення отриманої формули для намагнiченостi. Запропонована модель спi-нового ланцюжка дає розумiння намагнiченостi у сильних полях 3d-4f бiметалiчної полiмеpної сполу-ки Dy(NO₃)(DMSO)₂Cu(opba)(DMSO)₂, яка допускає цiкаву експериментальну реалiзацiю феримагнiтного ланцюжка, складеного з двох рiзних, але регулярно змiнних спiн-1/2 магнiтних iонiв Dy³+ and Cu²+, що прийнятно апроксимуються поняттями Iзингових та Гайзенбергових спiнiв, вiдповiдно. 2012 Article Ferrimagnetic spin-1/2 chain of alternating Ising and Heisenberg spins in arbitrarily oriented magnetic field / J. Strečka, M. Hagiwara, Y. Han, T. Kida, Z. Honda, M. Ikeda // Condensed Matter Physics. — 2012. — Т. 15, № 4. — С. 43002:1-11. — Бібліогр.: 15 назв. — англ. PACS: 05.30.-d, 05.50.+q, 75.10.Hk, 75.10.Jm, 75.10.Pq, 75.40.Cx DOI:10.5488/CMP.15.43002 arXiv:1206.6656 http://dspace.nbuv.gov.ua/handle/123456789/120296 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The ferrimagnetic spin-1/2 chain composed of alternating Ising and Heisenberg spins in an arbitrarily oriented magnetic field is exactly solved using the spin-rotation transformation and the transfer-matrix method. It is shown that the low-temperature magnetization process depends basically on a spatial orientation of the magnetic field. A sharp stepwise magnetization curve with a marked intermediate plateau, which emerges for the magnetic field applied along the easy-axis direction of the Ising spins, becomes smoother and the intermediate plateau shrinks if the external field is tilted from the easy-axis direction. The magnetization curve of a polycrystalline system is also calculated by performing powder averaging of the derived magnetization formula. The proposed spin-chain model brings an insight into high-field magnetization data of 3d-4f bimetallic polymeric compound Dy(NO₃)(DMSO)₂Cu(opba)(DMSO)₂, which provides an interesting experimental realization of the ferrimagnetic chain composed of two different but regularly alternating spin-1/2 magnetic ions Dy³+ and Cu²+ that are reasonably approximated by the notion of Ising and Heisenberg spins, respectively. |
| format |
Article |
| author |
Strečka, J. Hagiwara, M. Han, Y. Kida, T. Honda, Z. Ikeda, M. |
| spellingShingle |
Strečka, J. Hagiwara, M. Han, Y. Kida, T. Honda, Z. Ikeda, M. Ferrimagnetic spin-1/2 chain of alternating Ising and Heisenberg spins in arbitrarily oriented magnetic field Condensed Matter Physics |
| author_facet |
Strečka, J. Hagiwara, M. Han, Y. Kida, T. Honda, Z. Ikeda, M. |
| author_sort |
Strečka, J. |
| title |
Ferrimagnetic spin-1/2 chain of alternating Ising and Heisenberg spins in arbitrarily oriented magnetic field |
| title_short |
Ferrimagnetic spin-1/2 chain of alternating Ising and Heisenberg spins in arbitrarily oriented magnetic field |
| title_full |
Ferrimagnetic spin-1/2 chain of alternating Ising and Heisenberg spins in arbitrarily oriented magnetic field |
| title_fullStr |
Ferrimagnetic spin-1/2 chain of alternating Ising and Heisenberg spins in arbitrarily oriented magnetic field |
| title_full_unstemmed |
Ferrimagnetic spin-1/2 chain of alternating Ising and Heisenberg spins in arbitrarily oriented magnetic field |
| title_sort |
ferrimagnetic spin-1/2 chain of alternating ising and heisenberg spins in arbitrarily oriented magnetic field |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/120296 |
| citation_txt |
Ferrimagnetic spin-1/2 chain of alternating Ising and Heisenberg spins in arbitrarily oriented magnetic field / J. Strečka, M. Hagiwara, Y. Han, T. Kida, Z. Honda, M. Ikeda // Condensed Matter Physics. — 2012. — Т. 15, № 4. — С. 43002:1-11. — Бібліогр.: 15 назв. — англ. |
| series |
Condensed Matter Physics |
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2023-10-18T20:36:39Z |
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2023-10-18T20:36:39Z |
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