Exact solution of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chain
The geometric frustration in a class of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chains is investigated by combining three exact analytical techniques: Kambe projection method, decoration-iteration transformation and transfer-matrix method. The ground state, the magnetization process...
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| Дата: | 2009 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2009
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/120001 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Exact solution of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chain / L. Čanová, J. Strečka, T. Lučivjanský // Condensed Matter Physics. — 2009. — Т. 12, № 3. — С. 353-368. — Бібліогр.: 56 назв. — англ. |
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nasplib_isofts_kiev_ua-123456789-1200012025-02-09T11:50:17Z Exact solution of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chain Точний розв’язок для змiшаного спiн-1/2 i спiн-S ромбiчного ланцюжка Iзинга-Гайзенберга Čanová, L. Strečka, J. Lučivjanský, T. The geometric frustration in a class of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chains is investigated by combining three exact analytical techniques: Kambe projection method, decoration-iteration transformation and transfer-matrix method. The ground state, the magnetization process and the specific heat as a function of the external magnetic field are particularly examined for different strengths of the geometric frustration. It is shown that the increase of the Heisenberg spin value S raises the number of intermediate magnetization plateaux, which emerge in magnetization curves provided that the ground state is highly degenerate on behalf of a sufficiently strong geometric frustration. On the other hand, all intermediate magnetization plateaux merge into a linear magnetization versus magnetic field dependence in the limit of classical Heisenberg spin S → ∞. The enhanced magnetocaloric effect with cooling rate exceeding the one of paramagnetic salts is also detected when the disordered frustrated phase constitutes the ground state and the external magnetic field is small enough. Геометричнi фрустрацiї для класу змiшаних спiн-1/2 i спiн-S ромбiчних ланцюжкiв Iзинга-Гайзенберга дослiджуються комбiнуванням трьох точних аналiтичних пiдходiв: проекцiйним методом Камбе, декорацiйно-iтерацiйним перетворенням i методом матрицi переносу. Зокрема, дослiджено основний стан, процес намагнiчення i теплоємнiсть як функцiю зовнiшнього магнiтного поля для рiзних iнтенсивностей геометричної фрустрацiї. Показано, що збiльшення величини гайзенбергового спiна S приводить до появи промiжних плато намагнiченостi, якi виникають у кривiй намагнiченостi, якщо основний стан є сильно вироджений через достатньо сильнi геометричнi фрустрацiї. З iншого боку, всi промiжнi плато намагнiченостi зливаються у лiнiйну намагнiченiсть як функцiю магнiтного поля у границi класичного гайзенбергового спiна S → ∞. Також виявлено посилений магнiтокалоричний ефект з швидкiстю охолодження бiльшою, нiж у парамагнiтних солях, коли невпорядкована фрустрована фаза є основним станом, а зовнiшнє магнiтне поле є достатньо малим. This work was nancially supported by the Slovak Research and Development Agency under the contract LPP{0107{06 and by Ministry of Education of SR under the grant No. VEGA 1/0128/08. 2009 Article Exact solution of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chain / L. Čanová, J. Strečka, T. Lučivjanský // Condensed Matter Physics. — 2009. — Т. 12, № 3. — С. 353-368. — Бібліогр.: 56 назв. — англ. 1607-324X PACS: 05.30.-d, 05.50.+q, 75.10.Hk, 75.10.Jm, 75.10.Pq, 75.40.Cx DOI:10.5488/CMP.12.3.353 https://nasplib.isofts.kiev.ua/handle/123456789/120001 en Condensed Matter Physics application/pdf 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 geometric frustration in a class of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chains is
investigated by combining three exact analytical techniques: Kambe projection method, decoration-iteration
transformation and transfer-matrix method. The ground state, the magnetization process and the specific heat
as a function of the external magnetic field are particularly examined for different strengths of the geometric
frustration. It is shown that the increase of the Heisenberg spin value S raises the number of intermediate
magnetization plateaux, which emerge in magnetization curves provided that the ground state is highly degenerate
on behalf of a sufficiently strong geometric frustration. On the other hand, all intermediate magnetization
plateaux merge into a linear magnetization versus magnetic field dependence in the limit of classical Heisenberg
spin S → ∞. The enhanced magnetocaloric effect with cooling rate exceeding the one of paramagnetic
salts is also detected when the disordered frustrated phase constitutes the ground state and the external
magnetic field is small enough. |
| format |
Article |
| author |
Čanová, L. Strečka, J. Lučivjanský, T. |
| spellingShingle |
Čanová, L. Strečka, J. Lučivjanský, T. Exact solution of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chain Condensed Matter Physics |
| author_facet |
Čanová, L. Strečka, J. Lučivjanský, T. |
| author_sort |
Čanová, L. |
| title |
Exact solution of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chain |
| title_short |
Exact solution of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chain |
| title_full |
Exact solution of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chain |
| title_fullStr |
Exact solution of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chain |
| title_full_unstemmed |
Exact solution of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chain |
| title_sort |
exact solution of the mixed spin-1/2 and spin-s ising-heisenberg diamond chain |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2009 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/120001 |
| citation_txt |
Exact solution of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chain / L. Čanová, J. Strečka, T. Lučivjanský // Condensed Matter Physics. — 2009. — Т. 12, № 3. — С. 353-368. — Бібліогр.: 56 назв. — англ. |
| series |
Condensed Matter Physics |
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