Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices

Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices

The spin-1/2 Ising-Heisenberg model on diamond-like decorated Bethe lattices is exactly solved in the presence of the longitudinal magnetic field by combining the decoration-iteration mapping transformation with the method of exact recursion relations. In particular, the ground state and low-tempera...

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Published in:Condensed Matter Physics
Date:2012
Main Authors: Strečka, J., Ekiz, C.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2012
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/120299
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices / J. Strečka, C. Ekiz // Condensed Matter Physics. — 2012. — Т. 15, № 4. — С. 43003:1-10. — Бібліогр.: 16 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-120299
record_format dspace
spelling Strečka, J.
Ekiz, C.
2017-06-11T14:50:02Z
2017-06-11T14:50:02Z
2012
Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices / J. Strečka, C. Ekiz // Condensed Matter Physics. — 2012. — Т. 15, № 4. — С. 43003:1-10. — Бібліогр.: 16 назв. — англ.
PACS: 05.50.+q, 75.10.-b, 75.10.Jm, 75.10.Kt 75.40.Cx, 75.60.Ej
DOI:10.5488/CMP.15.43003
arXiv:1212.6032
https://nasplib.isofts.kiev.ua/handle/123456789/120299
The spin-1/2 Ising-Heisenberg model on diamond-like decorated Bethe lattices is exactly solved in the presence of the longitudinal magnetic field by combining the decoration-iteration mapping transformation with the method of exact recursion relations. In particular, the ground state and low-temperature magnetization process of the ferrimagnetic version of the considered model is investigated in detail. Three different magnetization scenarios with up to two consecutive fractional magnetization plateaus were found, whereas the intermediate magnetization plateau may either correspond to the classical ferrimagnetic spin arrangement and/or the field-induced quantum ferrimagnetic spin ordering without any classical counterpart.
Спiн-1/2 модель Iзинга-Гайзенберга на ромбоподiбнiй декорованiй гратцi Бете розв’язано точно у присутностi поздовжнього магнiтного поля, поєднуючи декорацiйно-iтерацiйне перетворення з методом точних рекурсивних спiввiдношень. Зокрема, детально дослiджено основний стан i низькотемпературне намагнiчення феримагнiтної версiї розглянутої моделi. Знайдено три рiзнi сценарiї намагнiченостi з що-найбiльше двома послiдовними дробовими плато, де промiжне плато намагнiченостi може вiдповiдати класичному феримагнiтному спiновому впорядкуванню та/або iндукованому полем квантовому феримагнiтному спiновому впорядкуванню, яке не має жодного класичного аналога.
This work was supported by the Scientific Grant Agency of Ministry of Education of Slovak Republic under the VEGA Grant No. 1/0234/12 and by ERDF EU (European Union European regional development fund) grant under the contract ITMS 26220120005 (activity 3.2.).
en
Інститут фізики конденсованих систем НАН України
Condensed Matter Physics
Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices
Процес намагнiченостi в точно розв’язнiй спiн-1/2 моделi Iзинга-Гайзенберга на декорованих гратках Бете
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices
spellingShingle Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices
Strečka, J.
Ekiz, C.
title_short Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices
title_full Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices
title_fullStr Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices
title_full_unstemmed Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices
title_sort magnetization process in the exactly solved spin-1/2 ising-heisenberg model on decorated bethe lattices
author Strečka, J.
Ekiz, C.
author_facet Strečka, J.
Ekiz, C.
publishDate 2012
language English
container_title Condensed Matter Physics
publisher Інститут фізики конденсованих систем НАН України
format Article
title_alt Процес намагнiченостi в точно розв’язнiй спiн-1/2 моделi Iзинга-Гайзенберга на декорованих гратках Бете
description The spin-1/2 Ising-Heisenberg model on diamond-like decorated Bethe lattices is exactly solved in the presence of the longitudinal magnetic field by combining the decoration-iteration mapping transformation with the method of exact recursion relations. In particular, the ground state and low-temperature magnetization process of the ferrimagnetic version of the considered model is investigated in detail. Three different magnetization scenarios with up to two consecutive fractional magnetization plateaus were found, whereas the intermediate magnetization plateau may either correspond to the classical ferrimagnetic spin arrangement and/or the field-induced quantum ferrimagnetic spin ordering without any classical counterpart. Спiн-1/2 модель Iзинга-Гайзенберга на ромбоподiбнiй декорованiй гратцi Бете розв’язано точно у присутностi поздовжнього магнiтного поля, поєднуючи декорацiйно-iтерацiйне перетворення з методом точних рекурсивних спiввiдношень. Зокрема, детально дослiджено основний стан i низькотемпературне намагнiчення феримагнiтної версiї розглянутої моделi. Знайдено три рiзнi сценарiї намагнiченостi з що-найбiльше двома послiдовними дробовими плато, де промiжне плато намагнiченостi може вiдповiдати класичному феримагнiтному спiновому впорядкуванню та/або iндукованому полем квантовому феримагнiтному спiновому впорядкуванню, яке не має жодного класичного аналога.
url https://nasplib.isofts.kiev.ua/handle/123456789/120299
citation_txt Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices / J. Strečka, C. Ekiz // Condensed Matter Physics. — 2012. — Т. 15, № 4. — С. 43003:1-10. — Бібліогр.: 16 назв. — англ.
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first_indexed 2025-12-07T17:46:37Z
last_indexed 2025-12-07T17:46:37Z
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